Research Interests
My research lies in the interface between integrable systems theory and combinatorial mathematics. My doctoral research, completed under the supervision of Professor Nicholas M. Ercolani, culminated in a dissertation entitled "The Kostant-Toda Lattice, Combinatorial Algorithms and Ultradiscrete Dynamics", the main focus of which was establishing clear and tractable con-
nections between Schensted insertion (of the Robinson-Schensted-Knuth correspondence) and the Toda lattice dynamical system in three spatiotemporal settings: continuous space (for both continuous and discrete time) and discrete space with discrete time (the ultradiscrete setting).
My continued research interests lie in developing these ideas further and looking ahead into extension to general semisimple Lie algebras and the stochastic setting. In current collaboration with Professor Ercolani, we are exploring the phase shift phenomenon of the solitonic cellular automaton known as the box-ball-system.
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Last modified on January 30, 2021