Li-Cheng Tsai

Curriculum Vitae

https://lc-tsai.github.io/lctsai@gmail.com

Education
Stanford University

Sep 2011 – Jun 2016

Ph.D. Mathematics, June 2016
Thesis advisor: Amir Dembo

Institute of Mathematics, Academia Sinica

Jul 2010 – Jun 2011

Research Trainee
Mentor: Tai-Ping Liu

National Taiwan University

Sep 2005 – June 2009

Bachelor of Science in Physics
with minor in Mathematics, June 2009

Positions
The University of Utah

Jul 2022 –Tenure-track Assistant Professor of Mathematics

Rutgers University—New Brunswick

Jul 2019 – Jun 2022

Tenure-track Assistant Professor of Mathematics

Columbia University

Jul 2016 – Jun 2019

Junior Fellow of the Simons Society of Fellows
Postdoctoral Research Scientist in Department of Mathematics
Mentor: Ivan Corwin

Honors and awards
Sloan Research Fellowships

2022

Bernoulli Society New Researcher Award

2020

Junior Fellow, Simons Society of Fellows

2016

Grants and fellowships
Sloan Research Fellowships

2022$75,000

Jul 2022 – Jun 2026

Standard NSF Grant
DMS-2153739 transferred to DMS-2243112

2022$225,000

Jul 2022 – Jun 2025

Standard NSF Grant
DMS-1712575 transferred to DMS-1953407

2017$149,111

Jul 2017 – Jun 2022

Professional service
Associate Editor

Journal of Statistical Physics

Jan 2022 –PublicationsPreprint[31] Sayan Das and Li-Cheng Tsai
Solving marginals of the LDP for the directed landscapearXiv: 2405.17041[30] Yier Lin and Li-Cheng TsaiSpacetime limit shapes of the KPZ equation in the upper tails
arXiv:2304.14380[29] Li-Cheng TsaiHigh moments of the SHE in the clustering regimes
arXiv:2304.14375

Published or to appear[28] Jeremy Quastel and Li-Cheng Tsai
Hydrodynamic large deviations of TASEP
To appear in Communications on Pure and Applied Mathematics
arXiv:2104.04444[27] Yier Lin and Li-Cheng Tsai
A lower-tail limit in the weak noise theory
To appear in Annales de l'Institut Henri Poincaré (B) Probabilités etStatistiques. arXiv:2210.05629
2023[26] Li-Cheng Tsai
Integrability in the weak noise theory
Transactions of the American Mathematical Society 376, pp 6521–6572 (2023)[25] Pierre Yves Gaudreau Lamarre, Yier Lin, and Li-Cheng TsaiKPZ equation with a small noise, deep upper tail and limit shape
Probability Theory and Related Fields 185, pp 885–920 (2023)

2022[24] Li-Cheng Tsai
Exact lower tail large deviations of the KPZ equation
Duke Mathematical Journal 171(9), pp 1879–1922 (2022)

2021[23] Li-Cheng Tsai
Large deviations of the KPZ equation via the Stochastic Airy operator
Advanced Studies in Pure Mathematics 87, pp 415–429 (2021)

[22] Yier Lin and Li-Cheng Tsai
Short time large deviations of the KPZ equation
Communications in Mathematical Physics 386(1), pp 359–393 (2021)[21] Sayan Das* and Li-Cheng Tsai
Fractional moments of the Stochastic Heat Equation
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 57(2), pp
778–799 (2021)[20] Yu Gu, Jeremy Quastel, and Li-Cheng Tsai
Moments of the 2D SHE at criticalityProbability and Mathematical Physics 2(1), pp 179–219 (2021)
2020[19] Ivan Corwin and Li-Cheng Tsai
SPDE Limit of Weakly Inhomogeneous ASEPElectronic Journal of Probability 25, pp 1–55 (2020)[18] Ivan Corwin, Promit Ghosal*, Hao Shen, and Li-Cheng Tsai
Stochastic PDE Limit of the Six Vertex Model
Communications in Mathematical Physics 375, pp 1945–2038 (2020)2019[17] Yu Gu and Li-Cheng Tsai
Another look into the Wong-Zakai Theorem for Stochastic Heat Equation
Annals of Applied Probability 29(5), pp 3037–3061 (2019)[16] Hao Shen and Li-Cheng Tsai
Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model
Proceedings of American Mathematical Society 147(6), pp 2685–2705 (2019)[15] Stefano Olla and Li-Cheng Tsai
Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process
Electronic Journal of Probability 24(16), pp 1–71 (2019)[14] Amir Dembo and Li-Cheng Tsai
Criticality of a Randomly-Driven Front
Archive for Rational Mechanics and Analysis 233(2), pp 643–699 (2019)2018[13] Ivan Corwin, Promit Ghosal*, Alexandre Krajenbrink*, Pierre Le Doussal, andLi-Cheng Tsai
Coulomb-gas electrostatics controls large fluctuations of the KPZ equation
Physical Review Letters 121(6), page 060201-1 to page 060201-6 (2018)[12] Li-Cheng Tsai
Stationary Distributions of the Atlas Model
Electronic Communications in Probability 23(10) pp 1–10 (2018)[11]

Ivan Corwin, Hao Shen, and Li-Cheng Tsai
ASEP(𝑞,𝑗) converges to the KPZ equation
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 54(2), pp995–1012 (2018)

[10] Wenpin Tang and Li-Cheng Tsai
Optimal Surviving Strategy for Drifted Brownian Motions with Absorption
Annals of Probability 46(3), pp 1597–1650 (2018)2017–2016[9]

Andrey Sarantsev and Li-Cheng Tsai
Stationary Gap Distributions for Infinite Systems of Competing BrownianParticles
Electronic Journal of Probability 22, pp 1–20 (2017)[8]

Amir Dembo and Li-Cheng Tsai
Equilibrium Fluctuation of the Atlas Model
Annals of Probability 45(6B), pp 4529–4560 (2017)[7]

Ivan Corwin and Li-Cheng TsaiKPZ equation limit of higher-spin exclusion processes
Annals of Probability 45(3), pp 1771–1798 (2017)[6]

Li-Cheng TsaiInfinite Dimensional Stochastic Differential Equations for Dyson’s Model
RIMS Kôkyûroku Bessatsu B59, pp 175–201 (2016)[5]Li-Cheng TsaiInfinite Dimensional Stochastic Differential Equations for Dyson’s Model
Probability Theory and Related Fields 166(3), pp 801–850 (2016)[4]

Amir Dembo and Li-Cheng Tsai
Weakly Asymmetric Non-Simple Exclusion Process and the
Kardar-Parisi-Zhang Equation
Communications in Mathematical Physics 341(1) 219–261 (2016)[3]

Hung-Wen Kuo, Tai-Ping Liu, and Li-Cheng Tsai
Equilibrating effects of boundary and collision in rarefied gasses
Communications in Mathematical Physics 328(2) pp 421–480 (2014)[2]

Hung-Wen Kuo, Tai-Ping Liu, and Li-Cheng Tsai
Free Molecular Flow with Boundary EffectCommunications in Mathematical Physics 318(2), pp 375–409 (2013)[1]

Li-Cheng Tsai
Viscous Shock Propagation with Boundary Effect
Bulletin, Institute of Mathematics, Academia Sinica (New Series) 6(1), pp 1–25(2011)