CONTACT Department of Mathematics Texas A&M University Blocker Building, Room 525L College Station, TX 77843 Email: jkuan(at)math.tamu.edu

Research My arXiv author page is here. Stochastic Baxterisation of a fused Hecke algebra Interacting particle systems with type D symmetry and duality Determinantal expressions in multi-species TASEP Two dualities: Markov and Schur-Weyl Coxeter Group Actions on Interacting Particle Systems Algebraic Symmetry and Self-Duality of an Open ASEP A Short Note on Markov Duality in Multi-species Higher Spin Stochastic Vertex Models Stochastic Fusion of Interacting Particle Systems and Duality Functions Explicit central elements of U_{q}(gl_{n}) Probability distributions of multi-species q-TAZRP and ASEP as double cosets of parabolic subgroups An algebraic construction of duality functions for the stochastic U_{q}(A_{n}^{(1)}) vertex model and its degenerations Hard-edge asymptotics of the Jacobi growth process A multi-species ASEP(q,j) and q-TAZRP with stochastic duality An interacting particle system with geometric jump rates near a partially reflecting boundary A (2+1)-dimensional Gaussian field as fluctuations of quantum random walks on quantum groups Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths Two Constructions of Markov Chains on the Dual of U(n) Strong Szego asymptotics and zeros of the zeta function Asymptotics of a discrete-time particle system near a reflecting boundary The Gaussian free field in interlacing particle systems Random surface growth with a wall and Plancherel measures for O(infinity) Asymptotics of Plancherel measures for the infinite-dimensional unitary group Summer Undergraduate Research Fellowship with Professor Michael Aschbacher, 2007 Animations Animation for Random surface growth with a wall Animation for Discrete Time Particle System with a wall Miscellaneous Texas A&M Probability Seminar