Research
Research interests
I work in integrable probability and mathematical physics. My research focuses on interacting particle systems, percolation models, and vertex models within the Kardar–Parisi–Zhang universality class, particularly their long-time asymptotic behaviours and large-deviation phenomena. I am also interested in random matrix theory and related models from statistical mechanics.
Preprints and publications
- The coalescence and exit time of O'Connell–Yor polymers via Gaussian integration by parts, with Firas Rassoul-Agha, Xiao Shen, and Guangqu Zheng.
- An upper tail field of the KPZ fixed point, with Zhipeng Liu. Communications in Mathematical Physics; arXiv:2501.00932.
- Edgeworth-type expansion for the one-point distribution of the KPZ fixed point with a large height at a prior location, with Ron Nissim. arXiv:2210.04999; to appear in Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques.
Simulation: ASEP and the KPZ Fixed Point
An interactive numerical exploration of ASEP with step initial data and the associated KPZ-scaled fluctuation field.
Open the simulation