Difference between revisions of "Chul-hee Lee"
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| − | I am a postdoctoral researcher at | + | I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland. |
| − | + | [[이철희|Korean page]] | |
| − | |||
==contact== | ==contact== | ||
| − | '''Email''': | + | * '''Email''': c.lee1 at uq.edu.au |
| − | + | ||
| + | |||
==research interests== | ==research interests== | ||
* connections between number theory and mathematical physics | * connections between number theory and mathematical physics | ||
| − | |||
* modular forms and q-hypergeometric series | * 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== | ==research articles== | ||
| − | * A Note on Nahm's Conjecture in Rank 2 Case with An Huang, ''Commun. | + | * A Note on Nahm's Conjecture in Rank 2 Case 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] |
| − | * Nahm's conjecture and Y- | + | * 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] |
| + | * 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 via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347] | ||
| + | |||
| + | ==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== | ||
| + | * [[File:Research statement.pdf]] | ||
| + | * [[File:CV.pdf]] | ||
| + | |||
| + | |||
| + | ==etc== | ||
| + | * developing a wiki-based [http://wiki.mathnt.net/index.php mathematics website] (in Korean) for fun | ||
Revision as of 23:14, 29 September 2017
I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland. Korean page
contact
- Email: c.lee1 at uq.edu.au
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, arXiv:1602.02347
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