Difference between revisions of "Chul-hee Lee"

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I am a postdoctoral researcher in the School of Mathematics and Physics at the University of Queensland.
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I am a postdoctoral research fellow at the Korea Institute for Advanced Study.
 
[[이철희|Korean page]]
 
[[이철희|Korean page]]
  
 
   
 
   
 
==contact==
 
==contact==
* '''Email''': c.lee1 at uq.edu.au
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* '''Email''': chlee@kias.re.kr
  
  
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==research articles==
 
==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., [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]  
 
* 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-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]
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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], [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], [http://arxiv.org/abs/1210.1669 arXiv:1210.1669]
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* 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]
* 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]
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* 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] [http://arxiv.org/abs/1412.1638 arXiv:1412.1638]
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* 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]
* Linear recurrence relations in $Q$-systems via lattice points in polyhedra, [http://arxiv.org/abs/1602.02347 arXiv:1602.02347]
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* Linear recurrence relations in $Q$-systems via lattice points in polyhedra, ''Transformation Groups'' (to appear), [https://arxiv.org/abs/1602.02347 arXiv:1602.02347]
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* Product formula for the limits of normalized characters of Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1807.11194 arXiv:1807.11194]
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* Computation of Gross-Keating invariants, [https://arxiv.org/abs/1809.10323 arXiv:1809.10323]
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* On polyhedral formula for Kirillov-Reshetikhin modules, [https://arxiv.org/abs/1901.00104 arXiv:1901.00104]
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* Minor corrections to Nipp's tables of quaternary quadratic forms, [https://arxiv.org/abs/1902.08459 arXiv:1902.08459]
  
 
==seminars==
 
==seminars==
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==etc==
 
==etc==
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* [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 00:34, 26 February 2019

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

seminars

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