Difference between revisions of "Chul-hee Lee"
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* 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], [http://arxiv.org/abs/1109.3667 arXiv:1109.3667] | * 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], [http://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], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669] | * 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], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669] | ||
| − | * Positivity and periodicity of $Q$-systems in the WZW fusion ring, | + | * 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], [http://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] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638] | * 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] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638] | ||
| − | * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347] | + | * Linear recurrence relations in $Q$-systems via lattice points in polyhedra, ''Transformation Groups'' (to appear), [http://arxiv.org/abs/1602.02347 arXiv:1602.02347] |
| + | * Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194] | ||
| + | * Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323, arXiv:1809.10323] | ||
==seminars== | ==seminars== | ||
Revision as of 01:29, 9 October 2018
I am a postdoctoral research 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)
research articles
- A Note on Nahm's Conjecture in Rank 2 Case with An Huang, Commun. Number Theory Phys. 4 (2010), no. 4, 609–622., doi:10.4310/CNTP.2010.v4.n4.a1, arXiv:1008.4981
- 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
- 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
- Linear recurrence relations in $Q$-systems via lattice points in polyhedra, Transformation Groups (to appear), arXiv:1602.02347
- Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, arXiv:1807.11194
- Computation of Gross-Keating invariants, arXiv:1809.10323
seminars
- Seminar : Quantum affine algebras and spectra of quantum integrable systems
- Seminar : Affine Lie Algebras
- Seminar : Basic Aspects of Representation Theory (BART)
education
- B.S. Mathematics, Seoul National University, Aug, 2006.
- Ph.D. Mathematics, University of California, Berkeley, May, 2012. (advisor: Richard E. Borcherds)
honors and fellowships
- Samsung Scholarship, 2006-2010
files
etc
- developing a wiki-based mathematics website (in Korean) for fun