Chul-hee Lee

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, 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 mathematics website (in Korean) for fun