Research
Research Interests
Representation Theory, Number Theory, Combinatorics, Machine Learning
Papers
(49) Kyu-Hwan Lee and Jeongwoo Yu, Rigid reflections of rank 3 Coxeter groups and reduced roots of rank 2 Kac-Moody algebras, submitted.
(48) Yang-Hui He, Kyu-Hwan Lee and Thomas Oliver, Machine-learning arithmetic curves, preprint.
(47) Yang-Hui He, Kyu-Hwan Lee and Thomas Oliver, Machine-learning number fields, submitted.
(46) Yang-Hui He, Kyu-Hwan Lee and Thomas Oliver, Machine-learning the Sato-Tate conjecture, submitted.
(45) Lisa Carbone, Kyu-Hwan Lee and Dongwen Liu, Entirety of cuspidal Eisenstein series on Kac-Moody groups, submitted.
(44) Kyu-Hwan Lee and Se-jin Oh, Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters, submitted.
(43) Lisa Carbone, Howard Garland, Kyu-Hwan Lee, Dongwen Liu and Stephen D. Miller, On the convergence of Kac-Moody Eisenstein series, submitted.
(42) Kyu-Hwan Lee, Dongwen Liu and Thomas Oliver, Character expansion of Kac-Moody correction factors, submitted.
(41) Jonathan D. Axtell and Kyu-Hwan Lee, Quantum generalized Kac-Moody algebras via Hall algebras of complexes, submitted.
(40) Kyu-Hwan Lee, Kyungyong Lee and Matthew R. Mills, Geometric description of c-vectors and real Lösungen, submitted.
(39) Jang Soo Kim, Kyu-Hwan Lee and Se-jin Oh, Weight multiplicities and Young tableaux through affine crystals, to appear in Mem. Amer. Math. Soc.
(38) Kyu-Hwan Lee and Kyungyong Lee, A correspondence between rigid modules over path algebras and simple curves on Riemann surfaces, to appear in Exp. Math.
(37) Gabriel Feinberg, Sungsoon Kim, Kyu-Hwan Lee and Se-jin Oh, Fully commutative elements of the complex reflection groups, J. Algebra 558 (2020), 371-394.
(36) Kyu-Hwan Lee and Jerzy Weyman, Some branching formulas for Kac-Moody Lie algebras, Commun. Korean Math. Soc. 34 (2019), no. 4, 1079-1098.
(35) Suh Hyun Choi, Chang Heon Kim, Yeong-Wook Kwon and Kyu-Hwan Lee, Rationality and p-adic properties of reduced forms of half-integral weight, J. Number Theory 204 (2019), 446-470.
(34) Kyu-Hwan Lee and Kyungyong Lee, Rigid reflections and Kac-Moody algebras, Sci. China Math. 62 (2019), no.7, 1317-1330.
(33) Kyu-Hwan Lee, Cristian Lenart and Dongwen Liu with appendix by Dinakar Muthiah and Anna Puskás, Whittaker functions and Demazure characters, J. Inst. Math. Jussieu 18 (2019), no.4, 759-781.
(32) Kyu-Hwan Lee and Se-jin Oh, Catalan triangle numbers and binomial coefficients, Contemp. Math. 713 (2018), 165-185.
(31) Jang Soo Kim, Kyu-Hwan Lee, and Se-jin Oh, Dominant maximal weights of highest weight modules and Young tableaux, Sém. Lothar. Combin. 78B (2017), Art. 25.
(30) Seok-Jin Kang, Kyu-Hwan Lee and Kyungyong Lee, A combinatorial approach to root multiplicities of rank 2 hyperbolic Kac-Moody algebras, Comm. Algebra. 45 (2017), no.11, 4785-4800.
(29) Lisa Carbone, Kyu-Hwan Lee and Dongwen Liu, Eisenstein series on rank 2 hyperbolic Kac-Moody groups, Math. Ann. 367 (2017), 1173-1197.
(28) Seok-Jin Kang, Kyu-Hwan Lee, Hansol Ryu and Ben Salisbury, A combinatorial description of the affine Gindikin-Karpelevich formula of type A_n^(1), Proc. Sympos. Pure Math. 92 (2016), 145-165.
(27) Konstantina Christodoulopoulou and Kyu-Hwan Lee, Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras, J. Pure Appl. Algebra 220 (2016), 3733-3751.
(26) Gabriel Feinberg and Kyu-Hwan Lee, Homogeneous representations of type A KLR-algebras and Dyck paths, Sém. Lothar. Combin. 75 (2016), Art. B75b.
(25) Henry H. Kim, Kyu-Hwan Lee and Yichao Zhang, Weakly holomorphic modular forms and rank two hyperbolic Kac-Moody algebras, Trans. Amer. Math. Soc. 367 (2015), no. 12, 8843-8860.
(24) Gabriel Feinberg and Kyu-Hwan Lee, Fully commutative elements of type D and homogeneous representations of KLR-algebras, J. Comb. 6 (2015), no. 4, 535-557.
(23) Kyu-Hwan Lee and Yichao Zhang, Weyl group multiple Dirichlet series for symmetrizable Kac-Moody root systems, Trans. Amer. Math. Soc. 367 (2015), 597-625.
(22) Lisa Carbone, Walter Freyn and Kyu-Hwan Lee, Dimensions of imaginary root spaces of hyperbolic Kac-Moody algebras, Contemp. Math. 623 (2014), 23-40.
(21) Kyu-Hwan Lee, Philip Lombardo and Ben Salisbury, Combinatorics of the Casselman-Shalika formula in type A, Proc. Amer. Math. Soc. 142 (2014), 2291-2301.
(20) Henry H. Kim and Kyu-Hwan Lee, Rank 2 symmetric hyperbolic Kac-Moody algebras and Hilbert modular forms, J. Algebra 407 (2014), 81-104.
(19) Kyu-Hwan Lee and Ben Salisbury, Young tableaux, canonical bases and the Gindikin-Karpelevich formula, J. Korean Math. Soc. 51 (2014), no. 2, 289-309.
(18) Kyu-Hwan Lee and Philip Lombardo, Eisenstein series on affine Kac-Moody groups over function fields, Trans. Amer. Math. Soc. 366 (2014), no. 4, 2121-2165.
(17) Henry H. Kim and Kyu-Hwan Lee, Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms, Ramanujan J. 32 (2013), 329-352.
(16) Henry H. Kim and Kyu-Hwan Lee, Automorphic correction of the hyperbolic Kac-Moody algebra E10, J. Math. Phys. 54 (2013), 091701, 13 pp.
(15) Henry H. Kim and Kyu-Hwan Lee, A family of generalized Kac-Moody algebras and deformation of modular forms, Int. J. Number Theory 8 (2012), no. 5, 1107-1131.
(14) Henry H. Kim and Kyu-Hwan Lee, Quantum affine algebras, canonical bases and q-deformation of arithmetical functions, Pacific J. Math. 255 (2012), no. 2, 393-415.
(13) Kyu-Hwan Lee and Ben Salisbury, A combinatorial description of the Gindikin-Karpelevich formula in type A, J. Combin. Theory Ser. A 119 (2012), 1081-1094.
(12) Jonathan D. Axtell and Kyu-Hwan Lee, Vertex operator algebras associated to type G affine Lie algebras, J. Algebra 337 (2011), 195-223.
(11) Henry H. Kim and Kyu-Hwan Lee, Representation theory of p-adic groups and canonical bases, Adv. Math. 227 (2011), no. 2, 945-961.
(10) Kyu-Hwan Lee, Iwahori-Hecke algebras of SL_2 over 2-dimensional local fields, Canad. J. Math. 62 (2010), no. 6, 1310-1324.
(9) Seok-Jin Kang, Dong-il. Lee, Kyu-Hwan Lee and Hyungju Park, Linear algebraic approach to Gröbner-Shirshov basis theory, J. Algebra 313 (2007), 988-1004.
(8) Georgia Benkart, Seok-Jin Kang and Kyu-Hwan Lee, On the center of two-parameter quantum groups, Proc. Roy. Soc. Edinburgh Sect. A 136 (2006), no. 3, 445-472.
(7) Henry H. Kim and Kyu-Hwan Lee, Spherical Hecke algebras of SL_2 over 2-dimensional local fields, Amer. J. Math. 126 (2004), no. 6, 1381-1399.
(6) Seok-Jin Kang, In-Sok Lee, Kyu-Hwan Lee and Hyekyung Oh, Representations of Ariki-Koike algebras and Gröbner-Shirshov bases, Proc. London Math. Soc. (3) 89 (2004), 54-70.
(5) Kyu-Hwan Lee, Gröbner-Shirshov bases for representations of Lie algebras and Hecke algebras of type A, Proceedings of the Third International Algebra Conference (Tainan 2002), 115-128, Kluwer Academic Publishers, Dordrecht, 2003.
(4) Seok-Jin Kang, In-Sok Lee, Kyu-Hwan Lee and Hyekyung Oh, Hecke algebras, Specht modules and Gröbner-Shirshov bases, J. Algebra 252 (2002), 258-292.
(3) Seok-Jin Kang and Kyu-Hwan Lee, Gröbner-Shirshov bases for irreducible sl_{n+1}-modules, J. Algebra 232 (2000), 1-20.
(2) Seok-Jin Kang and Kyu-Hwan Lee, Gröbner-Shirshov bases for representation theory, J. Korean Math. Soc. 37 (2000), 55-72.
(1) Leonid A. Bokut, Seok-Jin Kang, Kyu-Hwan Lee and Peter Malcolmson, Gröbner-Shirshov bases for Lie superalgebras and their universal enveloping algebras, J. Algebra 217 (1999), 461-495.