CONTACT Department of Mathematics Columbia University Room 509, MC 4406 2990 Broadway New York, NY 10027 Email: kuan(at)math.columbia.edu

Research 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 Columbia Probability Seminar Integrable Probability Seminar The Sarong Theorem Archive