Explicit central elements of U_{q}(gl_{n}), preprint.

Probability distributions of multi-species q-TAZRP and ASEP as double cosets of parabolic subgroups, preprint.

An algebraic construction of duality functions for the stochastic U_{q}(A_{n}^{(1)}) vertex model and its degenerations, to appear in * Communications in Mathematical Physics*.

Hard-edge asymptotics of the Jacobi growth process (with Mark Cerenzia), preprint.

A multi-species ASEP(q,j) and q-TAZRP with stochastic duality, to appear in *International Mathematics Research Notices*.

An interacting particle system with geometric jump rates near a partially reflecting boundary, *Electronic Communications in Probability*, Volume 21 (2016), paper no. 76, 15 pp.

A (2+1)-dimensional Gaussian field as fluctuations of quantum random walks on quantum groups, preprint.

Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two, * Journal of Physics A, Mathematical and Theoretical *, Volume 49, Number 11 (2016), 29 pp.

Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths, *Advances in Mathematics*, Volume 303, 5 November 2016, Pages 716–744.

Two constructions of Markov chains on the dual of U(n), *Journal of Theoretical Probability* (2017).

Strong Szego asymptotics and zeros of the zeta-function (with Paul Bourgade), * Communications on Pure and Applied Mathematics,* Volume 67, Issue 6, 1028–1044, June 2014.

Asymptotics of a discrete-time particle system near a reflecting boundary, * Journal of Statistical Physics *, Volume 150, Issue 2 (2013), Pages 398-411.

The Gaussian free field in interlacing particle systems, * Electronic Journal of Probability * ** 19 ** (2014), no. 72, 1-31.

Random surface growth with a wall and Plancherel measures for O(infinity) (with Alexei Borodin), *Communications on Pure and Applied Mathematics*, Volume 63, Issue 7, July 2010, Pages 831-894.

Asymptotics of Plancherel measures for the infinite-dimensional unitary group (with Alexei Borodin),

*Advances in Mathematics*, Volume 219, Issue 3, 20 October 2008, Pages 894–931.