Yier Lin

  • Email: yierlin.math [at] gmail.com
Picture of Yier Lin

I am currently a Quantitative Reserach Intern at Citadel Securities.

My curriculum vitae.

Research interests: Probability theory, particularly the asymptotic behaviors of interacting particle systems, and the interplay among PDEs, stochastic PDEs, and integrable probability.

Before moving to industry, I was a Kruskal Instructor of of Department of Statistics, University of Chicago . Before that, I was a postdoctoral researcher at Mathematical Sciences Research Institute. 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.

  1. A lower-tail limit in the weak noise theory [arXiv]
    with Li-Cheng Tsai. Ann. Inst. H. Poincaré Probab. Statist. 61 (2) 1334 - 1347, August 2025
  2. Spacetime limit shapes of the KPZ equation in the upper tails [arXiv]
    with Li-Cheng Tsai. Comm. Math. Phys. Volume 406, article number 113, 2025
  3. Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates [arXiv]
    with Pierre Yves Gaudreau Lamarre. Electron. Commun. Probab. 29 1–13, 2024
  4. Multi-point Lyapunov exponents of the Stochastic Heat Equation [arXiv].
    Electron. J. Probab. 29 1–22, 2024
  5. Long and short time laws of iterated logarithms for the KPZ fixed point [arXiv]
    with Sayan Das and Promit Ghosal. Electron. J. Probab. 29 1–38, 2024
  6. Hydrodynamics of the t-PNG model via a colored t-PNG model [arXiv]
    with Hindy Drillick. Ann. Inst. H. Poincaré Probab. Statist. 60 (2) 1215 - 1245, February 2023
  7. Strong law of large numbers for the stochastic six vertex model [arXiv]
    with Hindy Drillick. Electron. J. Probab. 28 1–21, 2023
  8. Classification of stationary distributions for the stochastic vertex models [arXiv]
    Electron. J. Probab. 28 1–40, 2023
  9. KPZ equation with a small noise, deep upper tail and limit shape [arXiv]
    with Pierre Yves Gaudreau Lamarre and Li-Cheng Tsai. Probab. Theory Related Fields. 185 885–920, 2023
  10. 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
  11. Lyapunov Exponents of the Half-Line SHE [arXiv]
    J Stat Phys 183, 37 (2021)
  12. Short time large deviations of the KPZ equation [arXiv]
    with Li-Cheng Tsai. Comm. Math. Phys. 386 (1) 359–393, 2021
  13. The stochastic telegraph equation limit of the stochastic higher spin six vertex model [arXiv]
    Electron. J. Probab. 25 1–30, 2020
  14. KPZ equation limit of stochastic higher spin six vertex model [arXiv]
    Math Phys Anal Geom 23, 1 (2020)
  15. Markov duality for stochastic six vertex model [arXiv]
    Electron. Commun. Probab. 24 1–17, 2019.
  16. 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

UCSD, UCSB, USC, UCLA, Northwestern University, University of Pennsylvania, University of Wisconsin Madision, MIT, University of Chicago, Columbia University

2022

University of Maryland College Park, KTH Royal Institute of Technology, Purdue University, University of Utah, Instituto Superior Técnico

2021

Texas A&M University, Simons Laufer Mathematical Sciences Institute, University of Virgina, Columbia University