Research

Kac-Moody Lie algebra representations and applications 

Representations of quantum affine algebras -- geometric crystals

Leibniz algebras

December 13, 2022 – March 12, 2023 at Sophia University, Tokyo, Japan
STEC Sophia Lecturing - Research Grant 2022, hosted by Professor Toshiki Nakashima

April 1 – 25, 2022 at North Carolina State University, North Carolina, USA
Hosted by Professor Kailash C. Misra 

K. C. Misra, T. Nakashima, and S. Pongprasert, D_7^{(1)}-Geometric crystal at the spin node. Algebras and Representation Theory. (2025), 28(1): 1 – 22.

P. Hongsopa, P. Janplee, C. Kimsang, S. Pongprasert, and N. Sirasuntorn, On algorithms for computing derivations and antiderivations of Leibniz algebras. Science Essence Journal. (2024), 40(2), 45 – 57 .

K. C. Misra, S. Patlertsin, S. Pongprasert, and T. Rungratgasame, On derivations of Leibniz algebras. Electronic Research Archive. (2024), 32(7), 4715 – 4722.

S. Patlertsin, S. Pongprasert, and T. Rungratgasame, On inner derivations of Leibniz algebras. Mathematics. (2024), 12, 1152.

Y. Kongsomprach, S. Pongprasert, T. Rungratgasame, and S. Tiansa-ard, Completeness of low-dimensional Leibniz algebras: Annual Meeting in Mathematics 2023. Thai Journal of Mathematics. (2024), 22(1):165 – 178.

S. Duangmoon, P. Kanokladarom, S. Pongprasert, T. Rungratgasame, and N. Srithaisong, Affine magic cubes of order 4: concepts and applications. International Journal of Mathematics and Mathematical Sciences. Article ID 2578562 (2022): 1 – 9.

S. Pongprasert, K. Chaengsisai, W. Kaewleamthong and P. Sriphrom, Real root polynomials and real root preserving transformations. International Journal of Mathematics and Mathematical Sciences. Article ID 5585480 (2021): 1 – 5.

K. C. Misra and S. Pongprasert, Ultra-discretization of D_6^{(1)}-geometric crystal at the spin node. Contemporary Mathematics. (2021), 768: 271 – 304.

K. C. Misra and S. Pongprasert, D_6^{(1)}-Geometric crystal at the spin node. Communications in Algebra. (2020), 48(8): 3382 – 3397.

M. Igarashi, K. C. Misra and S. Pongprasert, D_5^{(1)}-Geometric crystal corresponding to the Dynkin spin node i=5 and its ultra-discretization. Journal of Algebra and Its Applications. (2019), 18(12):1950227, 1 – 31.

Invited talk in the title “D_5^{(1)}, D_6^{(1)} and D_7^{(1)}-geometric crystals at the spin node and their ultra-discretizations” in Interactions of Commutative Algebra, Representation Theory, and Combinatorics in Bangkok, The Meiji University ASEAN Center, Thailand, October 29 – November 1, 2024. 

Contributed talk in the title “D_7^{(1)}-geometric crystal at the spin node” in Quantum Groups and Representation Theory Conference on the occasion of Kailash C. Misra's 70th birthday, North Carolina State University, Raleigh, North Carolina, USA, October 12 – 15, 2024.

Invited talk in the title “D_7^{(1)}-geometric crystal at the spin node and its ultra-discretization” in Crystal Bases and Then... Conference in honor of Toshiki Nakashima's 60th birthday, Karuizawa, Japan, July 9 – 12, 2024. 

Contributed talk in the title “D_7^{(1)}-geometric crystal” in the 13th Southeastern Lie Theory Workshop, North Carolina State University, Raleigh, North Carolina, USA, May 12 – 14, 2023.

MS Seminar (Mathematics – String Theory), Kavli Institute for the Physics and Mathematics of the Universe (IPMU), Tokyo, Japan, February 8, 2023. 

Colloquium talk,  Sophia University, Tokyo, Japan, January 6, 2023.

Invited talk in the title “D_6^{(1)}-geometric crystal at spin node and its ultradiscretization” in AMS Spring Western Virtual Sectional Meeting on special session: Categorical and Combinatorial Methods in Representation Theory, and Related Topics, May 1 – 2, 2021.

Invited talk in the title “Affine geometric crystal of D_5^{(1)} corresponding to the Dynkin spin node i=5 and its ultradiscretization” in Vietnam-USA Joint Mathematical Meeting on special session: Homological methods in the representation theory of groups and algebras, Quy Nhon, Vietnam, June 10 – 13, 2019.

Contributed talk in the title “D_5^{(1)}-geometric crystal corresponding to the Dynkin spin node i=5 and its ultradiscretization” in Southeastern Lie Theory Workshop X, University of Georgia, Athens, Georgia, USA, June 10 – 12, 2018.