Research

Research interests

I work in integrable probability and mathematical physics, with a focus on models in the Kardar–Parisi–Zhang universality class. My research concerns interacting particle systems, percolation, and random polymers, especially their fluctuations, long-time asymptotics, large deviations, correlations, and path geometry. I use both integrable techniques and probabilistic methods, and am also interested in random matrix theory and related models in statistical mechanics.

Publications and preprints

• The KPZ Upper-Tail Field as a KPZ Fixed Point with Brownian Initial Data. arXiv(In submission).
• A Stein Proof of the Burke Property for the Stationary O'Connell-Yor Polymer. arXiv(Submitted).
• Coalescence and fluctuations of O'Connell--Yor polymers via the free-energy correlation profile, with Firas Rassoul-Agha, Xiao Shen, and Guangqu Zheng. arXiv (Submitted).
• Edgeworth-type expansion for the one-point distribution of the KPZ fixed point with a large height at a prior location, with Ron Nissim. Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 62(2), 2026. Journal; arXiv.
• An upper tail field of the KPZ fixed point, with Zhipeng Liu. Communications in Mathematical Physics. Journal; arXiv.