Research
Interests
Kac-Moody Lie algebra representations and applications
Representations of quantum affine algebras -- geometric crystals
Leibniz algebras
Reseach Visits
December 13, 2022 – March 12, 2023 at Sophia University, Tokyo, Japan
STEC Sophia Lecturing - Research Grant 2022, hosted by Professor Toshiki NakashimaApril 1 – 25, 2022 at North Carolina State University, North Carolina, USA
Hosted by Professor Kailash C. Misra
Publications
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.
Talks
Invited talk in the title “D_7^{(1)}-geometric crystal at the spin node and its ultra-discretization” in 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.