https://chlee.cftnt.net/api.php?action=feedcontributions&feedformat=atom&user=Chlee 2026-09-20T15:39:41Z User contributions MediaWiki 1.35.10 https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=256 2026-08-05T21:07:29Z

<p>Chlee: </p> <hr /> <div>I am an AI Fellow (AI Assistant Professor) at the Center for Artificial Intelligence and Natural Sciences, Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * automorphic forms<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * computational and experimental mathematics with AI-driven discovery<br /> <br /> <br /> ==research articles==<br /> ===preprints===<br /> * Karel&#039;s conjecture on Fourier coefficients of $E_7$ Eisenstein series, &#039;&#039;preprint&#039;&#039;.<br /> * Lean-GAP: A Dataset of Formalized Graduate Algebra Problems (with S. Lee, B.-H. Hwang, H. Lim, J. Hyun, I. Choi, Y. Park, J. Baek, H. Hong, K. Lee, J. Heo, H. Baik and K.-H. Lee), [https://arxiv.org/abs/2606.02588 arXiv:2606.02588]<br /> * An explicit formula for some vector-valued differential operator on Siegel modular forms and its applications (with T. Ikeda and H. Katsurada), preprint. [[Media:Differential_operator_degree_3.pdf|PDF]]<br /> * Verlinde rings and cluster algebras arising from quantum affine algebras (joint with J.-R. Li and E. Park), preprint. [https://arxiv.org/abs/2412.14601 arXiv:2412.14601]<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, preprint. [https://arxiv.org/abs/2311.02632 arXiv:2311.02632]<br /> <br /> ===publications===<br /> * On Polyhedral Formulas for Kirillov-Reshetikhin Modules, &#039;&#039;SIGMA&#039;&#039; 22 (2026), 064, [https://doi.org/10.3842/SIGMA.2026.064 doi:10.3842/SIGMA.2026.064]<br /> * Harder&#039;s conjecture and Miyawaki lift (joint with H. Katsurada), &#039;&#039;Forum Mathematicum&#039;&#039; 38 (2026), no. 4, 1111–1137. [https://doi.org/10.1515/forum-2025-0204 doi:10.1515/forum-2025-0204]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Mathematics of Computation&#039;&#039; (2025), 94, 1503–1541, [https://doi.org/10.1090/mcom/4050 doi:10.1090/mcom/4050]. [https://arxiv.org/abs/1709.02772 arXiv:1709.02772]<br /> * An inductive formula for the Gross–Keating invariant of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Tohoku Mathematical Journal (2)&#039;&#039; (2025), 77 (1) 55 - 75. [https://doi.org/10.2748/tmj.20230426 doi:10.2748/tmj.20230426]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [https://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=255 2026-08-05T21:05:04Z

<p>Chlee: </p> <hr /> <div>I am an AI Fellow (AI Assistant Professor) at the Center for Artificial Intelligence and Natural Sciences, Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * automorphic forms<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * computational and experimental mathematics with AI-driven discovery<br /> <br /> <br /> ==research articles==<br /> ===preprints===<br /> * Karel&#039;s conjecture on Fourier coefficients of $E_7$ Eisenstein series, &#039;&#039;preprint&#039;&#039;.<br /> * Lean-GAP: A Dataset of Formalized Graduate Algebra Problems (with S. Lee, B.-H. Hwang, H. Lim, J. Hyun, I. Choi, Y. Park, J. Baek, H. Hong, K. Lee, J. Heo, H. Baik and K.-H. Lee), [https://arxiv.org/abs/2606.02588 arXiv:2606.02588]<br /> * An explicit formula for some vector-valued differential operator on Siegel modular forms and its applications (with T. Ikeda and H. Katsurada), preprint. [[File:Differential_operator_degree_3.pdf]]<br /> * Verlinde rings and cluster algebras arising from quantum affine algebras (joint with J.-R. Li and E. Park), preprint. [https://arxiv.org/abs/2412.14601 arXiv:2412.14601]<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, preprint. [https://arxiv.org/abs/2311.02632 arXiv:2311.02632]<br /> <br /> ===publications===<br /> * On Polyhedral Formulas for Kirillov-Reshetikhin Modules, &#039;&#039;SIGMA&#039;&#039; 22 (2026), 064, [https://doi.org/10.3842/SIGMA.2026.064 doi:10.3842/SIGMA.2026.064]<br /> * Harder&#039;s conjecture and Miyawaki lift (joint with H. Katsurada), &#039;&#039;Forum Mathematicum&#039;&#039; 38 (2026), no. 4, 1111–1137. [https://doi.org/10.1515/forum-2025-0204 doi:10.1515/forum-2025-0204] [[File:Harder&#039;s conjecture and Miyawaki lift.pdf]]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Mathematics of Computation&#039;&#039; (2025), 94, 1503–1541, [https://doi.org/10.1090/mcom/4050 doi:10.1090/mcom/4050]. [https://arxiv.org/abs/1709.02772 arXiv:1709.02772]<br /> * An inductive formula for the Gross–Keating invariant of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Tohoku Mathematical Journal (2)&#039;&#039; (2025), 77 (1) 55 - 75. [https://doi.org/10.2748/tmj.20230426 doi:10.2748/tmj.20230426]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [https://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:Differential_operator_degree_3.pdf&diff=254 2026-08-05T20:41:09Z

<p>Chlee: </p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=253 2025-12-18T07:32:57Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a CMC fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * Verlinde rings and cluster algebras arising from quantum affine algebras (Joint with J.-R. Li and E. Park), [https://arxiv.org/abs/2412.14601 arXiv:2412.14601]<br /> * Harder&#039;s conjecture and Miyawaki lift (joint with H. Katsurada), &#039;&#039;Forum Mathematicum&#039;&#039;(to appear). [[File:Harder&#039;s conjecture and Miyawaki lift.pdf]]<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, [https://arxiv.org/abs/2311.02632 arXiv:2311.02632]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Mathematics of Computation&#039;&#039; (2025), 94, 1503–1541, [https://doi.org/10.1090/mcom/4050 doi:10.1090/mcom/4050]. [https://arxiv.org/abs/1709.02772 arXiv:1709.02772]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula for the Gross–Keating invariant of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), &#039;&#039;Tohoku Mathematical Journal (2)&#039;&#039; (2025), 77 (1) 55 - 75. [https://doi.org/10.2748/tmj.20230426 doi:10.2748/tmj.20230426]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=252 2025-01-23T04:00:27Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a CMC fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * Verlinde rings and cluster algebras arising from quantum affine algebras (Joint with J.-R. Li and E. Park), [https://arxiv.org/abs/2412.14601 arXiv:2412.14601]<br /> * Harder&#039;s conjecture and Miyawaki lift (joint with H. Katsurada), [[File:Harder&#039;s conjecture and Miyawaki lift.pdf]]<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, [https://arxiv.org/abs/2311.02632 arXiv:2311.02632]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula of the Gross-Keating invariant of a quadratic form. (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi) Tohoku Mathematical Journal. (to appear)<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=251 2024-09-26T23:48:39Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a CMC fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * Harder&#039;s conjecture and Miyawaki lift (joint with H. Katsurada), [[File:Harder&#039;s conjecture and Miyawaki lift.pdf]]<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, [https://arxiv.org/abs/2311.02632 arXiv:2311.02632])<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula of the Gross-Keating invariant of a quadratic form. (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi) Tohoku Mathematical Journal. (to appear)<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:Harder%27s_conjecture_and_Miyawaki_lift.pdf&diff=250 2024-09-26T23:46:23Z

<p>Chlee: </p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=249 2024-03-25T08:52:12Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a CMC fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * Spectrum of the Laplacian on the Fricke-Macbeath surface, [https://arxiv.org/abs/2311.02632 arXiv:2311.02632])<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula of the Gross-Keating invariant of a quadratic form. (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi) Tohoku Mathematical Journal. (to appear)<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=248 2023-07-01T05:29:56Z

<p>Chlee: Chlee uploaded a new version of File:CV.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=247 2023-06-18T06:10:08Z

<p>Chlee: </p> <hr /> <div>I am a CMC fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula of the Gross-Keating invariant of a quadratic form. (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi) Tohoku Mathematical Journal. (to appear)<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=246 2023-06-16T08:13:09Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An inductive formula of the Gross-Keating invariant of a quadratic form. (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi) Tohoku Mathematical Journal. (to appear)<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), &#039;&#039;SIGMA&#039;&#039; (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1][http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> <br /> <br /> <br /> <br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=245 2020-07-08T07:07:12Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), [https://arxiv.org/abs/2007.03174 arXiv:2007.03174])<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=244 2020-04-23T04:15:44Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case (joint with An Huang), &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=239 2020-03-10T09:49:27Z

<p>Chlee: </p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> * experimental mathematics and computer algebra systems<br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323] (to be merged with &#039;Remarks on the Extended Gross-Keating data and the Siegel series of a quadratic form&#039; by S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=238 2020-03-10T09:48:37Z

<p>Chlee: </p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323] (to be merged with &#039;Remarks on the Extended Gross-Keating data and the Siegel series of a quadratic form&#039; by S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=237 2020-03-10T09:46:49Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323] (to be merged with &#039;Remarks on the Extended Gross-Keating data and the Siegel series of a quadratic form&#039; by S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi [https://arxiv.org/abs/1709.02772 arXiv:1709.02772])<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=236 2020-03-10T09:37:40Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> ===notes===<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=235 2019-10-02T02:57:01Z

<p>Chlee: /* honors and fellowships */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=234 2019-10-02T01:00:23Z

<p>Chlee: Chlee uploaded a new version of File:CV.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=233 2019-10-02T00:58:36Z

<p>Chlee: Chlee uploaded a new version of File:Research statement.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=232 2019-07-03T02:27:35Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=231 2019-05-13T05:10:38Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (2019) 24: 429, [https://link.springer.com/article/10.1007/s00031-018-9502-9 doi:10.1007/s00031-018-9502-9], [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=230 2019-05-03T04:15:41Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, &#039;&#039;International Mathematics Research Notices&#039;&#039; (to appear) [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=229 2019-02-26T07:58:32Z

<p>Chlee: Chlee uploaded a new version of File:CV.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=228 2019-02-26T07:56:59Z

<p>Chlee: Chlee uploaded a new version of File:Research statement.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=227 2019-02-26T07:34:01Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=226 2019-02-25T02:40:36Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [https://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [https://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [https://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [https://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323, arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104, arXiv:1901.00104]<br /> * Minor corrections to Nipp&#039;s tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=225 2019-02-22T06:11:11Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323, arXiv:1809.10323]<br /> * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104, arXiv:1901.00104]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=224 2018-10-09T08:32:30Z

<p>Chlee: /* etc */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323, arXiv:1809.10323]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * [https://github.com/chlee-0 personal repository on GitHub]<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=223 2018-10-09T08:29:11Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;Advances in Mathematics&#039;&#039;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, &#039;&#039;Transformation Groups&#039;&#039; (to appear), [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]<br /> * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323, arXiv:1809.10323]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=%EC%9D%B4%EC%B2%A0%ED%9D%AC&diff=222 2018-05-29T03:24:44Z

<p>Chlee: </p> <hr /> <div>고등과학원의 박사후 연구원<br /> <br /> <br /> ==연락처==<br /> &#039;&#039;&#039;이메일&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> ==기타==<br /> * 한글 수학 웹사이트 [http://wiki.mathnt.net 수학노트] 관리자<br /> * 한겨레 사이언스온에 [http://scienceon.hani.co.kr/?mid=media&amp;category=183 피타고라스 주제에 의한 변주] 연재<br /> * [http://slownews.kr/10111 조용민 교수의 7대 수학 난제 해결 논란, 어떻게 볼 것인가], 슬로우뉴스 2013-5-6</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=221 2018-05-29T03:24:01Z

<p>Chlee: </p> <hr /> <div>I am a postdoctoral research fellow at the Korea Institute for Advanced Study.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: chlee@kias.re.kr<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &quot;Advances in Mathematics&quot;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=220 2017-09-30T06:14:20Z

<p>Chlee: /* talks */</p> <hr /> <div>I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: c.lee1 at uq.edu.au<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &quot;Advances in Mathematics&quot;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=219 2017-09-23T09:15:30Z

<p>Chlee: Chlee uploaded a new version of File:Research statement.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=218 2017-09-19T00:29:47Z

<p>Chlee: Chlee uploaded a new version of File:Research statement.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=217 2017-09-19T00:26:58Z

<p>Chlee: Chlee uploaded a new version of File:CV.pdf</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=216 2017-04-24T07:03:28Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: c.lee1 at uq.edu.au<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &quot;Advances in Mathematics&quot;, Volume 311, 30 April 2017, Pages 532-568, [http://doi.org/10.1016/j.aim.2017.02.031 doi:10.1016/j.aim.2017.02.031], [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==talks==<br /> * [[When Kirillov-Reshetikhin modules meet the fusion ring]]<br /> * [[On the boundary of Q-systems : introduction to the KNS conjecture]]<br /> * [[Around Nahm&#039;s conjecture]]<br /> <br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=215 2017-03-07T07:27:25Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: c.lee1 at uq.edu.au<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, to appear in &#039;&#039;Advances in Mathematics&#039;&#039;, [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==talks==<br /> * [[When Kirillov-Reshetikhin modules meet the fusion ring]]<br /> * [[On the boundary of Q-systems : introduction to the KNS conjecture]]<br /> * [[Around Nahm&#039;s conjecture]]<br /> <br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Fusion_ring_example&diff=214 2016-03-07T06:16:10Z

<p>Chlee: Created page with &quot;==example== * $\mathfrak{g}=\mathfrak{sl}_2$ * let $k=3$ be the level for the fusion ring $C_{\mathfrak{g},k}$ * $\operatorname{Rep}(\mathfrak{g})$ has basis $\{V_0,V_1,V_2,V_...&quot;</p> <hr /> <div>==example==<br /> * $\mathfrak{g}=\mathfrak{sl}_2$<br /> * let $k=3$ be the level for the fusion ring $C_{\mathfrak{g},k}$<br /> * $\operatorname{Rep}(\mathfrak{g})$ has basis $\{V_0,V_1,V_2,V_3,V_4,\cdots \}$ with product<br /> $$<br /> V_{m}{\otimes}V_{n}\cong V_{|m-n|}\oplus V_{|m-n|+2}\oplus \cdots \oplus V_{m+n}<br /> $$<br /> * $C_{\mathfrak{g},k}$ has basis $\{V_0,V_1,V_2,V_3\}$ with product<br /> $$<br /> V_{m}{\otimes}V_{n}\cong V_{|m-n|}\oplus V_{|m-n|+2}\oplus \cdots \oplus V_{\operatorname{min}(2k-(m+n),m+n)}<br /> $$<br /> * $(V_1)^{\otimes l}$ for $l\geq 0$ in each ring :<br /> $$<br /> \begin{array}{c|c|c}<br /> l &amp; \operatorname{Rep}(\mathfrak{g}) &amp; C_{\mathfrak{g},k} \\<br /> \hline<br /> 0 &amp; V_0 &amp; V_0 \\<br /> 1 &amp; V_1 &amp; V_1 \\<br /> 2 &amp; V_0\oplus V_2 &amp; V_0\oplus V_2 \\<br /> 3 &amp; 2 V_1\oplus V_3 &amp; 2 V_1\oplus V_3 \\<br /> 4 &amp; 2 V_0\oplus 3 V_2\oplus V_4 &amp; 2 V_0\oplus 3 V_2 \\<br /> 5 &amp; 5 V_1\oplus 4 V_3\oplus V_5 &amp; 5 V_1\oplus 3 V_3 \\<br /> 6 &amp; 5 V_0\oplus 9 V_2\oplus 5 V_4\oplus V_6 &amp; 5 V_0\oplus 8 V_2 \\<br /> \end{array}<br /> $$</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=213 2016-02-27T12:21:11Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: c.lee1 at uq.edu.au<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;submitted&#039;&#039;, [http://arxiv.org/abs/1302.1467 arXiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==talks==<br /> * [[When Kirillov-Reshetikhin modules meet the fusion ring]]<br /> * [[On the boundary of Q-systems : introduction to the KNS conjecture]]<br /> * [[Around Nahm&#039;s conjecture]]<br /> <br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Chul-hee_Lee&diff=212 2016-02-24T06:06:22Z

<p>Chlee: /* research articles */</p> <hr /> <div>I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.<br /> [[이철희|Korean page]]<br /> <br /> <br /> ==contact==<br /> * &#039;&#039;&#039;Email&#039;&#039;&#039;: c.lee1 at uq.edu.au<br /> <br /> <br /> <br /> ==research interests==<br /> * connections between number theory and mathematical physics<br /> * modular forms and q-hypergeometric series<br /> * representations of Lie algebras and quantum groups<br /> * functional relations in integrable systems (Q-systems, T-systems and Y-systems)<br /> <br /> <br /> <br /> ==research articles==<br /> * A Note on Nahm&#039;s Conjecture in Rank 2 Case with An Huang, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 4 (2010), no. 4, 609–622., [http://dx.doi.org/10.4310/CNTP.2010.v4.n4.a1 doi:10.4310/CNTP.2010.v4.n4.a1], [http://arxiv.org/abs/1008.4981 arXiv:1008.4981] <br /> * Nahm&#039;s conjecture and Y-systems, &#039;&#039;Commun. Number Theory Phys.&#039;&#039; 7 (2013), no.1, 1-14., [http://dx.doi.org/10.4310/CNTP.2013.v7.n1.a1 doi:10.4310/CNTP.2013.v7.n1.a1], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667]<br /> * A proof of the KNS conjecture : $D_r$ case, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 46 (2013), no. 16, 165201, [http://dx.doi.org/10.1088/1751-8113/46/16/165201 doi:10.1088/1751-8113/46/16/165201], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]<br /> * Positivity and periodicity of $Q$-systems in the WZW fusion ring, &#039;&#039;submitted&#039;&#039;, [http://arxiv.org/abs/1302.1467 arxiv:1302.1467]<br /> * Linear recurrence relations in $Q$-systems and difference $L$-operators, &#039;&#039;J. Phys. A: Math. Theor.&#039;&#039; 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]<br /> * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arxiv:1602.02347]<br /> <br /> ==seminars==<br /> * [[Seminar : Quantum affine algebras and spectra of quantum integrable systems]]<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [[Seminar : Basic Aspects of Representation Theory (BART)‏‎]]<br /> <br /> ==talks==<br /> * [[When Kirillov-Reshetikhin modules meet the fusion ring]]<br /> * [[On the boundary of Q-systems : introduction to the KNS conjecture]]<br /> * [[Around Nahm&#039;s conjecture]]<br /> <br /> <br /> <br /> ==education==<br /> * B.S. Mathematics, Seoul National University, Aug, 2006.<br /> * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)<br /> <br /> <br /> ==honors and fellowships==<br /> * Samsung Scholarship, 2006-2010<br /> <br /> <br /> <br /> ==files==<br /> * [[File:Research statement.pdf]]<br /> * [[File:CV.pdf]]<br /> <br /> <br /> ==etc==<br /> * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun</div>

Chlee https://chlee.cftnt.net/index.php?title=Seminar_:_Quantum_affine_algebras_and_spectra_of_quantum_integrable_systems&diff=211 2016-01-18T05:39:04Z

<p>Chlee: </p> <hr /> <div>This is the page for the seminar on QFT at the University of Queensland. We focus on Quantum Affine Algebras for Semester 2, 2015. The main goal is to understand various aspects of the theory of quantum affine algebras in mathematical physics.<br /> <br /> * &#039;&#039;&#039;when&#039;&#039;&#039; : Thursdays 3-4:30 pm<br /> * &#039;&#039;&#039;where&#039;&#039;&#039; : Priestly Building Seminar Room 67-442<br /> <br /> <br /> ==topics==<br /> Some references are given for each topic. But &#039;&#039;&#039;we won&#039;t necessarily follow them strictly or cover them all&#039;&#039;&#039;.<br /> ===Quantum inverse scattering method (6/8/2015, Jon Links)===<br /> * TQ relations from algebraic Bethe ansatz<br /> <br /> ===introduction (13/8/2015, Chul-hee Lee)===<br /> * overview<br /> * distribution of the remaining talks<br /> ===TQ relation of the eight-vertex model (20/8/2015, Ole Warnaar)===<br /> * Chapter 10 of [Baxter 1982]<br /> * Baxter, Rodney J. “Partition Function of the Eight-Vertex Lattice Model.” Annals of Physics 70 (1972): 193–228.<br /> ===finite-dimensional representations of affine Lie algebras (Masoud Kamgarpour)===<br /> * Chari, Vyjayanthi. “Representations of Affine and Toroidal Lie Algebras.” arXiv:1009.1336 [math], September 7, 2010. http://arxiv.org/abs/1009.1336.<br /> * Rao, S. Eswara. “On Representations of Loop Algebras.” Communications in Algebra 21, no. 6 (1993): 2131–53. doi:10.1080/00927879308824668.<br /> * Senesi, Prasad. “Finite-Dimensional Representation Theory of Loop Algebras: A Survey.” arXiv:0906.0099 [math], May 30, 2009. http://arxiv.org/abs/0906.0099.<br /> <br /> ===quantum affine algebras and its realizations (Inna Lukyanenko) ===<br /> * Lecture 6 of [EFK 1998]<br /> * Drinfel&#039;d, V. G. “A New Realization of Yangians and of Quantum Affine Algebras.” Doklady Akademii Nauk SSSR 296, no. 1 (1987): 13–17.<br /> * Jimbo, Michio. “Aq-Difference Analogue of U(g) and the Yang-Baxter Equation.” Letters in Mathematical Physics 10, no. 1 (July 1985): 63–69. doi:10.1007/BF00704588.<br /> * Drinfeld, Vladimir G. &quot;Quantum groups.&quot; (1986): 789-820. http://www.mathunion.org/ICM/ICM1986.1/Main/icm1986.1.0798.0820.ocr.pdf<br /> <br /> ===finite-dimensional representations of quantum affine algebras (Sean Michael Wilson)===<br /> * Chapter 12 of [CP 1995]<br /> * Chari, Vyjayanthi, and Andrew Pressley. “Quantum Affine Algebras and Their Representations.” In Representations of Groups (Banff, AB, 1994), 16:59–78. CMS Conf. Proc. Amer. Math. Soc., Providence, RI, 1995. http://www.ams.org/mathscinet-getitem?mr=1357195.<br /> ===theory of q-characters (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Knight, Harold. 1995. “Spectra of Tensor Products of Finite-Dimensional Representations of Yangians.” Journal of Algebra 174 (1): 187–196. doi:10.1006/jabr.1995.1123.<br /> ===video session===<br /> * Frenkel, Baxter relations and polynomiality of transfer-matrices http://video.impa.br/index.php?page=symmetries-in-mathematics-and-physics-ii, video lecture recorded on 25/06/2013<br /> <br /> <br /> ===constuction of transfer-matrices (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> <br /> ===Borel algebras and their representations (Peter McNamara)===<br /> * Hernandez, David, and Michio Jimbo. “Asymptotic Representations and Drinfeld Rational Fractions.” Compositio Mathematica 148, no. 5 (2012): 1593–1623. doi:10.1112/S0010437X12000267. http://www.ams.org/mathscinet-getitem?mr=2982441<br /> * Bazhanov, Vladimir V., Sergei L. Lukyanov, and Alexander B. Zamolodchikov. “Integrable Structure of Conformal Field Theory. III. The Yang-Baxter Relation.” Communications in Mathematical Physics 200, no. 2 (1999): 297–324. doi:10.1007/s002200050531.<br /> <br /> ===TQ relations from representation theoretic point of view ===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Frenkel, Edward, and David Hernandez. 2013. “Baxter’s Relations and Spectra of Quantum Integrable Models”. ArXiv e-print 1308.3444. http://arxiv.org/abs/1308.3444.<br /> <br /> ===optional topics===<br /> * quantum affine sl(2) and its finite-dimensional representations<br /> ** Lecture 9 of [EFK 1998]<br /> * universal R-matrix<br /> <br /> ==links==<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [https://sites.google.com/site/masoudkomi/research/qft UQ Quantum Field Theory Seminar 2013-2014]<br /> <br /> <br /> ==references==<br /> &lt;HarvardReferences&gt;<br /> * [*EFK 1998] Etingof, Pavel I., Igor B. Frenkel, and Alexander A. Kirillov Jr. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. Vol. 58. Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1998. http://www.ams.org/mathscinet-getitem?mr=1629472.<br /> * [*CP 1995] Chari, Vyjayanthi, and Andrew Pressley. A Guide to Quantum Groups. Cambridge University Press, Cambridge, 1995. http://www.ams.org/mathscinet-getitem?mr=1358358.<br /> * [*Baxter 1982] R. J. Baxter, &quot;Exactly Solved Models in Statistical Mechanics&quot; Academic Press, 1982 http://www.ams.org/mathscinet-getitem?mr=998375. http://physics.anu.edu.au/theophys/baxter_book.php<br /> &lt;/HarvardReferences&gt;<br /> <br /> <br /> [[category:Seminar]]</div>

Chlee https://chlee.cftnt.net/index.php?title=Seminar_:_Quantum_affine_algebras_and_spectra_of_quantum_integrable_systems&diff=210 2015-10-15T23:57:51Z

<p>Chlee: /* video session */</p> <hr /> <div>This is the page for the seminar on QFT at the University of Queensland. We focus on Quantum Affine Algebras for Semester 2, 2015. The main goal is to understand various aspects of the theory of quantum affine algebras in mathematical physics.<br /> <br /> * &#039;&#039;&#039;when&#039;&#039;&#039; : Thursdays 3-4:30 pm<br /> * &#039;&#039;&#039;where&#039;&#039;&#039; : Priestly Building Seminar Room 67-442<br /> <br /> <br /> ==topics==<br /> Some references are given for each topic. But &#039;&#039;&#039;we won&#039;t necessarily follow them strictly or cover them all&#039;&#039;&#039;.<br /> ===Quantum inverse scattering method (6/8/2015, Jon Links)===<br /> * TQ relations from algebraic Bethe ansatz<br /> <br /> ===introduction (13/8/2015, Chul-hee Lee)===<br /> * overview<br /> * distribution of the remaining talks<br /> ===TQ relation of the eight-vertex model (20/8/2015, Ole Warnaar)===<br /> * Chapter 10 of [Baxter 1982]<br /> * Baxter, Rodney J. “Partition Function of the Eight-Vertex Lattice Model.” Annals of Physics 70 (1972): 193–228.<br /> ===finite-dimensional representations of affine Lie algebras (Masoud Kamgarpour)===<br /> * Chari, Vyjayanthi. “Representations of Affine and Toroidal Lie Algebras.” arXiv:1009.1336 [math], September 7, 2010. http://arxiv.org/abs/1009.1336.<br /> * Rao, S. Eswara. “On Representations of Loop Algebras.” Communications in Algebra 21, no. 6 (1993): 2131–53. doi:10.1080/00927879308824668.<br /> * Senesi, Prasad. “Finite-Dimensional Representation Theory of Loop Algebras: A Survey.” arXiv:0906.0099 [math], May 30, 2009. http://arxiv.org/abs/0906.0099.<br /> <br /> ===quantum affine algebras and its realizations (Inna Lukyanenko) ===<br /> * Lecture 6 of [EFK 1998]<br /> * Drinfel&#039;d, V. G. “A New Realization of Yangians and of Quantum Affine Algebras.” Doklady Akademii Nauk SSSR 296, no. 1 (1987): 13–17.<br /> * Jimbo, Michio. “Aq-Difference Analogue of U(g) and the Yang-Baxter Equation.” Letters in Mathematical Physics 10, no. 1 (July 1985): 63–69. doi:10.1007/BF00704588.<br /> * Drinfeld, Vladimir G. &quot;Quantum groups.&quot; (1986): 789-820. http://www.mathunion.org/ICM/ICM1986.1/Main/icm1986.1.0798.0820.ocr.pdf<br /> <br /> ===finite-dimensional representations of quantum affine algebras (Sean Michael Wilson)===<br /> * Chapter 12 of [CP 1995]<br /> * Chari, Vyjayanthi, and Andrew Pressley. “Quantum Affine Algebras and Their Representations.” In Representations of Groups (Banff, AB, 1994), 16:59–78. CMS Conf. Proc. Amer. Math. Soc., Providence, RI, 1995. http://www.ams.org/mathscinet-getitem?mr=1357195.<br /> ===theory of q-characters (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Knight, Harold. 1995. “Spectra of Tensor Products of Finite-Dimensional Representations of Yangians.” Journal of Algebra 174 (1): 187–196. doi:10.1006/jabr.1995.1123.<br /> ===video session===<br /> * Frenkel, Baxter relations and polynomiality of transfer-matrices http://video.impa.br/index.php?page=symmetries-in-mathematics-and-physics-ii, video lecture recorded on 25/06/2013<br /> <br /> <br /> ===constuction of transfer-matrices (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> <br /> ===Borel algebras and their representations (Peter McNamara)===<br /> * Hernandez, David, and Michio Jimbo. “Asymptotic Representations and Drinfeld Rational Fractions.” Compositio Mathematica 148, no. 5 (2012): 1593–1623. doi:10.1112/S0010437X12000267. http://www.ams.org/mathscinet-getitem?mr=2982441<br /> * Bazhanov, Vladimir V., Sergei L. Lukyanov, and Alexander B. Zamolodchikov. “Integrable Structure of Conformal Field Theory. III. The Yang-Baxter Relation.” Communications in Mathematical Physics 200, no. 2 (1999): 297–324. doi:10.1007/s002200050531.<br /> <br /> ===TQ relations from representation theoretic point of view ===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Frenkel, Edward, and David Hernandez. 2013. “Baxter’s Relations and Spectra of Quantum Integrable Models”. ArXiv e-print 1308.3444. http://arxiv.org/abs/1308.3444.<br /> <br /> ===optional topics===<br /> * quantum affine sl(2) and its finite-dimensional representations<br /> ** Lecture 9 of [EFK 1998]<br /> * universal R-matrix<br /> <br /> ==links==<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [https://sites.google.com/site/masoudkomi/research/qft UQ Quantum Field Theory Seminar 2013-2014]<br /> <br /> <br /> ==references==<br /> &lt;HarvardReferences&gt;<br /> * [*EFK 1998] Etingof, Pavel I., Igor B. Frenkel, and Alexander A. Kirillov Jr. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. Vol. 58. Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1998. http://www.ams.org/mathscinet-getitem?mr=1629472.<br /> * [*CP 1995] Chari, Vyjayanthi, and Andrew Pressley. A Guide to Quantum Groups. Cambridge University Press, Cambridge, 1995. http://www.ams.org/mathscinet-getitem?mr=1358358.<br /> * [*Baxter 1982] R. J. Baxter, &quot;Exactly Solved Models in Statistical Mechanics&quot; Academic Press, 1982 http://www.ams.org/mathscinet-getitem?mr=998375. http://physics.anu.edu.au/theophys/baxter_book.php<br /> &lt;/HarvardReferences&gt;<br /> <br /> <br /> <br /> [[category:Seminar]]</div>

Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=209 2015-10-09T04:18:37Z

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Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=208 2015-10-09T03:47:10Z

<p>Chlee: Chlee uploaded a new version of &amp;quot;File:Research statement.pdf&amp;quot;</p> <hr /> <div></div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=207 2015-10-09T02:42:56Z

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Chlee https://chlee.cftnt.net/index.php?title=Seminar_:_Quantum_affine_algebras_and_spectra_of_quantum_integrable_systems&diff=206 2015-10-08T00:09:25Z

<p>Chlee: /* topics */</p> <hr /> <div>This is the page for the seminar on QFT at the University of Queensland. We focus on Quantum Affine Algebras for Semester 2, 2015. The main goal is to understand various aspects of the theory of quantum affine algebras in mathematical physics.<br /> <br /> * &#039;&#039;&#039;when&#039;&#039;&#039; : Thursdays 3-4:30 pm<br /> * &#039;&#039;&#039;where&#039;&#039;&#039; : Priestly Building Seminar Room 67-442<br /> <br /> <br /> ==topics==<br /> Some references are given for each topic. But &#039;&#039;&#039;we won&#039;t necessarily follow them strictly or cover them all&#039;&#039;&#039;.<br /> ===Quantum inverse scattering method (6/8/2015, Jon Links)===<br /> * TQ relations from algebraic Bethe ansatz<br /> <br /> ===introduction (13/8/2015, Chul-hee Lee)===<br /> * overview<br /> * distribution of the remaining talks<br /> ===TQ relation of the eight-vertex model (20/8/2015, Ole Warnaar)===<br /> * Chapter 10 of [Baxter 1982]<br /> * Baxter, Rodney J. “Partition Function of the Eight-Vertex Lattice Model.” Annals of Physics 70 (1972): 193–228.<br /> ===finite-dimensional representations of affine Lie algebras (Masoud Kamgarpour)===<br /> * Chari, Vyjayanthi. “Representations of Affine and Toroidal Lie Algebras.” arXiv:1009.1336 [math], September 7, 2010. http://arxiv.org/abs/1009.1336.<br /> * Rao, S. Eswara. “On Representations of Loop Algebras.” Communications in Algebra 21, no. 6 (1993): 2131–53. doi:10.1080/00927879308824668.<br /> * Senesi, Prasad. “Finite-Dimensional Representation Theory of Loop Algebras: A Survey.” arXiv:0906.0099 [math], May 30, 2009. http://arxiv.org/abs/0906.0099.<br /> <br /> ===quantum affine algebras and its realizations (Inna Lukyanenko) ===<br /> * Lecture 6 of [EFK 1998]<br /> * Drinfel&#039;d, V. G. “A New Realization of Yangians and of Quantum Affine Algebras.” Doklady Akademii Nauk SSSR 296, no. 1 (1987): 13–17.<br /> * Jimbo, Michio. “Aq-Difference Analogue of U(g) and the Yang-Baxter Equation.” Letters in Mathematical Physics 10, no. 1 (July 1985): 63–69. doi:10.1007/BF00704588.<br /> * Drinfeld, Vladimir G. &quot;Quantum groups.&quot; (1986): 789-820. http://www.mathunion.org/ICM/ICM1986.1/Main/icm1986.1.0798.0820.ocr.pdf<br /> <br /> ===finite-dimensional representations of quantum affine algebras (Sean Michael Wilson)===<br /> * Chapter 12 of [CP 1995]<br /> * Chari, Vyjayanthi, and Andrew Pressley. “Quantum Affine Algebras and Their Representations.” In Representations of Groups (Banff, AB, 1994), 16:59–78. CMS Conf. Proc. Amer. Math. Soc., Providence, RI, 1995. http://www.ams.org/mathscinet-getitem?mr=1357195.<br /> ===theory of q-characters (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Knight, Harold. 1995. “Spectra of Tensor Products of Finite-Dimensional Representations of Yangians.” Journal of Algebra 174 (1): 187–196. doi:10.1006/jabr.1995.1123.<br /> ===video session===<br /> * Frenkel, Baxter relations and polynomiality of transfer-matrices http://video.impa.br/index.php?page=symmetries-in-mathematics-and-physics-ii, video lecture recorded on 25/06/2013<br /> <br /> ===Borel algebras and their representations (Peter McNamara)===<br /> * Hernandez, David, and Michio Jimbo. “Asymptotic Representations and Drinfeld Rational Fractions.” Compositio Mathematica 148, no. 5 (2012): 1593–1623. doi:10.1112/S0010437X12000267. http://www.ams.org/mathscinet-getitem?mr=2982441<br /> * Bazhanov, Vladimir V., Sergei L. Lukyanov, and Alexander B. Zamolodchikov. “Integrable Structure of Conformal Field Theory. III. The Yang-Baxter Relation.” Communications in Mathematical Physics 200, no. 2 (1999): 297–324. doi:10.1007/s002200050531.<br /> <br /> ===TQ relations from representation theoretic point of view ===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Frenkel, Edward, and David Hernandez. 2013. “Baxter’s Relations and Spectra of Quantum Integrable Models”. ArXiv e-print 1308.3444. http://arxiv.org/abs/1308.3444.<br /> <br /> ===optional topics===<br /> * quantum affine sl(2) and its finite-dimensional representations<br /> ** Lecture 9 of [EFK 1998]<br /> * universal R-matrix<br /> <br /> ==links==<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [https://sites.google.com/site/masoudkomi/research/qft UQ Quantum Field Theory Seminar 2013-2014]<br /> <br /> <br /> ==references==<br /> &lt;HarvardReferences&gt;<br /> * [*EFK 1998] Etingof, Pavel I., Igor B. Frenkel, and Alexander A. Kirillov Jr. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. Vol. 58. Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1998. http://www.ams.org/mathscinet-getitem?mr=1629472.<br /> * [*CP 1995] Chari, Vyjayanthi, and Andrew Pressley. A Guide to Quantum Groups. Cambridge University Press, Cambridge, 1995. http://www.ams.org/mathscinet-getitem?mr=1358358.<br /> * [*Baxter 1982] R. J. Baxter, &quot;Exactly Solved Models in Statistical Mechanics&quot; Academic Press, 1982 http://www.ams.org/mathscinet-getitem?mr=998375. http://physics.anu.edu.au/theophys/baxter_book.php<br /> &lt;/HarvardReferences&gt;<br /> <br /> <br /> <br /> [[category:Seminar]]</div>

Chlee https://chlee.cftnt.net/index.php?title=Seminar_:_Quantum_affine_algebras_and_spectra_of_quantum_integrable_systems&diff=205 2015-10-08T00:03:29Z

<p>Chlee: /* optional topics */</p> <hr /> <div>This is the page for the seminar on QFT at the University of Queensland. We focus on Quantum Affine Algebras for Semester 2, 2015. The main goal is to understand various aspects of the theory of quantum affine algebras in mathematical physics.<br /> <br /> * &#039;&#039;&#039;when&#039;&#039;&#039; : Thursdays 3-4:30 pm<br /> * &#039;&#039;&#039;where&#039;&#039;&#039; : Priestly Building Seminar Room 67-442<br /> <br /> <br /> ==topics==<br /> Some references are given for each topic. But &#039;&#039;&#039;we won&#039;t necessarily follow them strictly or cover them all&#039;&#039;&#039;.<br /> ===Quantum inverse scattering method (6/8/2015, Jon Links)===<br /> * TQ relations from algebraic Bethe ansatz<br /> <br /> ===introduction (13/8/2015, Chul-hee Lee)===<br /> * overview<br /> * distribution of the remaining talks<br /> ===TQ relation of the eight-vertex model (20/8/2015, Ole Warnaar)===<br /> * Chapter 10 of [Baxter 1982]<br /> * Baxter, Rodney J. “Partition Function of the Eight-Vertex Lattice Model.” Annals of Physics 70 (1972): 193–228.<br /> ===finite-dimensional representations of affine Lie algebras (Masoud Kamgarpour)===<br /> * Chari, Vyjayanthi. “Representations of Affine and Toroidal Lie Algebras.” arXiv:1009.1336 [math], September 7, 2010. http://arxiv.org/abs/1009.1336.<br /> * Rao, S. Eswara. “On Representations of Loop Algebras.” Communications in Algebra 21, no. 6 (1993): 2131–53. doi:10.1080/00927879308824668.<br /> * Senesi, Prasad. “Finite-Dimensional Representation Theory of Loop Algebras: A Survey.” arXiv:0906.0099 [math], May 30, 2009. http://arxiv.org/abs/0906.0099.<br /> <br /> ===quantum affine algebras and its realizations (Inna Lukyanenko) ===<br /> * Lecture 6 of [EFK 1998]<br /> * Drinfel&#039;d, V. G. “A New Realization of Yangians and of Quantum Affine Algebras.” Doklady Akademii Nauk SSSR 296, no. 1 (1987): 13–17.<br /> * Jimbo, Michio. “Aq-Difference Analogue of U(g) and the Yang-Baxter Equation.” Letters in Mathematical Physics 10, no. 1 (July 1985): 63–69. doi:10.1007/BF00704588.<br /> * Drinfeld, Vladimir G. &quot;Quantum groups.&quot; (1986): 789-820. http://www.mathunion.org/ICM/ICM1986.1/Main/icm1986.1.0798.0820.ocr.pdf<br /> <br /> ===finite-dimensional representations of quantum affine algebras (Sean Michael Wilson)===<br /> * Chapter 12 of [CP 1995]<br /> * Chari, Vyjayanthi, and Andrew Pressley. “Quantum Affine Algebras and Their Representations.” In Representations of Groups (Banff, AB, 1994), 16:59–78. CMS Conf. Proc. Amer. Math. Soc., Providence, RI, 1995. http://www.ams.org/mathscinet-getitem?mr=1357195.<br /> ===theory of q-characters (Chul-hee Lee)===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Knight, Harold. 1995. “Spectra of Tensor Products of Finite-Dimensional Representations of Yangians.” Journal of Algebra 174 (1): 187–196. doi:10.1006/jabr.1995.1123.<br /> ===Borel algebras and their representations (Peter McNamara)===<br /> * Hernandez, David, and Michio Jimbo. “Asymptotic Representations and Drinfeld Rational Fractions.” Compositio Mathematica 148, no. 5 (2012): 1593–1623. doi:10.1112/S0010437X12000267. http://www.ams.org/mathscinet-getitem?mr=2982441<br /> * Bazhanov, Vladimir V., Sergei L. Lukyanov, and Alexander B. Zamolodchikov. “Integrable Structure of Conformal Field Theory. III. The Yang-Baxter Relation.” Communications in Mathematical Physics 200, no. 2 (1999): 297–324. doi:10.1007/s002200050531.<br /> <br /> ===TQ relations from representation theoretic point of view ===<br /> * Frenkel, Edward, and Nicolai Reshetikhin. 1999. “The $q$-characters of Representations of Quantum Affine Algebras and Deformations of $\scr W$-algebras.” In Recent Developments in Quantum Affine Algebras and Related Topics (Raleigh, NC, 1998), 248:163–205. Contemp. Math. Providence, RI: Amer. Math. Soc. http://www.ams.org/mathscinet-getitem?mr=1745260. http://arxiv.org/abs/math/9810055.<br /> * Frenkel, Edward, and David Hernandez. 2013. “Baxter’s Relations and Spectra of Quantum Integrable Models”. ArXiv e-print 1308.3444. http://arxiv.org/abs/1308.3444.<br /> <br /> ===optional topics===<br /> * quantum affine sl(2) and its finite-dimensional representations<br /> ** Lecture 9 of [EFK 1998]<br /> * universal R-matrix<br /> * Frenkel, Baxter relations and polynomiality of transfer-matrices http://video.impa.br/index.php?page=symmetries-in-mathematics-and-physics-ii, video lecture recorded on 25/06/2013<br /> <br /> ==links==<br /> * [[Seminar : Affine Lie Algebras]]<br /> * [https://sites.google.com/site/masoudkomi/research/qft UQ Quantum Field Theory Seminar 2013-2014]<br /> <br /> <br /> ==references==<br /> &lt;HarvardReferences&gt;<br /> * [*EFK 1998] Etingof, Pavel I., Igor B. Frenkel, and Alexander A. Kirillov Jr. Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations. Vol. 58. Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 1998. http://www.ams.org/mathscinet-getitem?mr=1629472.<br /> * [*CP 1995] Chari, Vyjayanthi, and Andrew Pressley. A Guide to Quantum Groups. Cambridge University Press, Cambridge, 1995. http://www.ams.org/mathscinet-getitem?mr=1358358.<br /> * [*Baxter 1982] R. J. Baxter, &quot;Exactly Solved Models in Statistical Mechanics&quot; Academic Press, 1982 http://www.ams.org/mathscinet-getitem?mr=998375. http://physics.anu.edu.au/theophys/baxter_book.php<br /> &lt;/HarvardReferences&gt;<br /> <br /> <br /> <br /> [[category:Seminar]]</div>

Chlee https://chlee.cftnt.net/index.php?title=File:Research_statement.pdf&diff=204 2015-10-06T05:11:07Z

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Chlee https://chlee.cftnt.net/index.php?title=File:CV.pdf&diff=203 2015-10-06T05:10:24Z

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Chlee