Yier Lin

My curriculum vitae.

Research interests: Probability theory, particularly the asymptotic behaviors of large interacting particle systems, and the interplay among partial differential equations (PDEs), stochastic PDEs, and integrable probability.

Before joining University of Chicago, I was a postdoctoral researcher at Simons Laufer Mathematical Sciences Institute (2021 Aug–2021 Dec). I obtained my Ph.D. in Mathematics at Columbia University in 2021. I obtained my B.S. in Mathematics at Tsinghua University in 2016.

Publications

See also Google Scholar.

Preprint

1. Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates [arXiv]
   with Pierre Yves Gaudreau Lamarre.
2. Multi-point Lyapunov exponents of the Stochastic Heat Equation [arXiv].
3. Spacetime limit shapes of the KPZ equation in the upper tails [arXiv]
   with Li-Cheng Tsai.
4. Long and short time laws of iterated logarithms for the KPZ fixed point [arXiv]
   with Sayan Das and Promit Ghosal.

Published / To appear

1. A lower-tail limit in the weak noise theory [arXiv]
   with Li-Cheng Tsai. To appear in Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
2. Hydrodynamics of the t-PNG model via a colored t-PNG model [arXiv]
   with Hindy Drillick. To appear in Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques
3. Strong law of large numbers for the stochastic six vertex model [arXiv]
   with Hindy Drillick. Electron. J. Probab. 28 1–21, 2023
4. Classification of stationary distributions for the stochastic vertex models [arXiv]
   Electron. J. Probab. 28 1–40, 2023
5. KPZ equation with a small noise, deep upper tail and limit shape [arXiv]
   with Pierre Yves Gaudreau Lamarre and Yier Lin. Probab. Theory Related Fields. 185 885–920, 2023
6. Lyapunov exponents of the SHE under general initial data [arXiv]
   with Promit Ghosal. Ann. Inst. H. Poincaré Probab. Statist. 59 (1) 476 - 502, February 2023
7. Lyapunov Exponents of the Half-Line SHE [arXiv]
   J Stat Phys 183, 37 (2021)
8. Short time large deviations of the KPZ equation [arXiv]
   with Li-Cheng Tsai. Comm. Math. Phys. 386 (1) 359–393, 2021
9. The stochastic telegraph equation limit of the stochastic higher spin six vertex model [arXiv]
   Electron. J. Probab. 25 1–30, 2020
10. KPZ equation limit of stochastic higher spin six vertex model [arXiv]
    Math Phys Anal Geom 23, 1 (2020)
11. Markov duality for stochastic six vertex model [arXiv]
    Electron. Commun. Probab. 24 1–17, 2019.
12. Second order behavior of the block counting process of beta coalescents [arXiv]
    with Bastien Mallein. Electron. Commun. Probab. 22 1–8, 2017

Teaching

University of Chicago

1. STAT 38520 Topics on Random Matrix Theory 2024 Spring
2. STAT 23400 Statistical Theory and method 2024 Spring
3. STAT 23400 Statistical Theory and method 2023 Spring
4. STAT 36510 Topics on Random Growth Model 2023 Winter
5. STAT 23400 Statistical Theory and method 2022 Spring
6. STAT 36510 Topics on Random Growth Model 2022 Spring

Columbia University

1. MATHUN 1102 Calculus II 2021 Spring
2. MATHUN 1003 College Algebra-Analytic Geometry 2020 Spring

Invited Talks

2023

2022

2021