Difference between revisions of "Chul-hee Lee"
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| − | I am a | + | I am a CMC fellow at the Korea Institute for Advanced Study. |
[[이철희|Korean page]] | [[이철희|Korean page]] | ||
==contact== | ==contact== | ||
| − | * '''Email''': | + | * '''Email''': chlee@kias.re.kr |
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* representations of Lie algebras and quantum groups | * representations of Lie algebras and quantum groups | ||
* functional relations in integrable systems (Q-systems, T-systems and Y-systems) | * functional relations in integrable systems (Q-systems, T-systems and Y-systems) | ||
| − | + | * experimental mathematics and computer algebra systems | |
==research articles== | ==research articles== | ||
| − | * | + | * Spectrum of the Laplacian on the Fricke-Macbeath surface, [https://arxiv.org/abs/2311.02632 arXiv:2311.02632]) |
| − | * | + | * 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]) |
| − | * | + | * On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104] |
| − | * Positivity and periodicity of $Q$-systems in the WZW fusion ring, | + | * 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) |
| − | * Linear recurrence relations in $Q$-systems and difference $L$-operators, ''J. Phys. A: Math. Theor.'' 48 (2015), no. 19, 195201 [http://dx.doi.org/10.1088/1751-8113/48/19/195201 doi:10.1088/1751-8113/48/19/195201] [ | + | * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, ''International Mathematics Research Notices'' (2021), 13 [https://doi.org/10.1093/imrn/rnz113 doi:10.1093/imrn/rnz113] [https://arxiv.org/abs/1807.11194 arXiv:1807.11194] |
| − | * | + | * An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), ''SIGMA'' (2020), 16 :142 [https://arxiv.org/abs/2007.03174 arXiv:2007.03174]) |
| + | * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, ''Transformation Groups'' (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] | ||
| + | * Positivity and periodicity of $Q$-systems in the WZW fusion ring, ''Advances in Mathematics'', 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] | ||
| + | * Linear recurrence relations in $Q$-systems and difference $L$-operators, ''J. Phys. A: Math. Theor.'' 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] | ||
| + | * Nahm's conjecture and Y-systems, ''Commun. Number Theory Phys.'' 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] | ||
| + | * A proof of the KNS conjecture : $D_r$ case, ''J. Phys. A: Math. Theor.'' 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] | ||
| + | * A Note on Nahm's Conjecture in Rank 2 Case (joint with An Huang), ''Commun. Number Theory Phys.'' 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] | ||
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| + | ===notes=== | ||
| + | * Minor corrections to Nipp's tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459] | ||
| + | * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323] | ||
==education== | ==education== | ||
* B.S. Mathematics, Seoul National University, Aug, 2006. | * B.S. Mathematics, Seoul National University, Aug, 2006. | ||
* Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds) | * Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds) | ||
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==etc== | ==etc== | ||
| + | * [https://github.com/chlee-0 personal repository on GitHub] | ||
* developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun | * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun | ||
Latest revision as of 01:52, 25 March 2024
I am a CMC fellow at the Korea Institute for Advanced Study. Korean page
contact
- Email: chlee@kias.re.kr
research interests
- connections between number theory and mathematical physics
- modular forms and q-hypergeometric series
- representations of Lie algebras and quantum groups
- functional relations in integrable systems (Q-systems, T-systems and Y-systems)
- experimental mathematics and computer algebra systems
research articles
- Spectrum of the Laplacian on the Fricke-Macbeath surface, arXiv:2311.02632)
- An explicit formula for the extended Gross-Keating datum of a quadratic form (joint with S. Cho, T. Ikeda, H. Katsurada and T. Yamauchi), arXiv:1709.02772)
- On polyhedral formula for Kirillov-Reshetikhin modules, arXiv:1901.00104
- 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)
- Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, International Mathematics Research Notices (2021), 13 doi:10.1093/imrn/rnz113 arXiv:1807.11194
- An elliptic hypergeometric function approach to branching rules (joint with Eric M. Rains and S. Ole Warnaar), SIGMA (2020), 16 :142 arXiv:2007.03174)
- Linear recurrence relations in $Q$-systems via lattice points in polyhedra, Transformation Groups (2019) 24: 429, doi:10.1007/s00031-018-9502-9, arXiv:1602.02347
- Positivity and periodicity of $Q$-systems in the WZW fusion ring, Advances in Mathematics, Volume 311, 30 April 2017, Pages 532-568, doi:10.1016/j.aim.2017.02.031, arXiv:1302.1467
- Linear recurrence relations in $Q$-systems and difference $L$-operators, J. Phys. A: Math. Theor. 48 (2015), no. 19, 195201 doi:10.1088/1751-8113/48/19/195201 arXiv:1412.1638
- Nahm's conjecture and Y-systems, Commun. Number Theory Phys. 7 (2013), no.1, 1-14., doi:10.4310/CNTP.2013.v7.n1.a1, arXiv:1109.3667
- A proof of the KNS conjecture : $D_r$ case, J. Phys. A: Math. Theor. 46 (2013), no. 16, 165201, doi:10.1088/1751-8113/46/16/165201, arXiv:1210.1669
- A Note on Nahm's Conjecture in Rank 2 Case (joint with An Huang), Commun. Number Theory Phys. 4 (2010), no. 4, 609–622., doi:10.4310/CNTP.2010.v4.n4.a1arXiv:1008.4981
notes
- Minor corrections to Nipp's tables of quaternary quadratic forms, arXiv:1902.08459
- Computation of Gross-Keating invariants, arXiv:1809.10323
education
- B.S. Mathematics, Seoul National University, Aug, 2006.
- Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)
files
etc
- personal repository on GitHub
- developing a wiki-based mathematics website (in Korean) for fun