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About Me

I am an Assistant Professor in the Department of Mathematics at Iowa State University. I got my B.S. degree in 2012 from the School of Mathematical Sciences (Yuanpei Program), Peking University. I graduated in 2016 from the Department of Statistics and Operations Research, UNC at Chapel Hill, under the supervision of Professor Amarjit Budhiraja. After graduation, I was a postdoctoral research associate in the Division of Applied Mathematics at Brown University, mentored by Professor Paul Dupuis. From 2018 to 2020, I was a Byrne research post-doctoral assistant professor in the Department of Mathematics at University of Michigan, working with Professor Erhan Bayraktar.

My research interests lie in probability and its applications. In particular, I am interested in weakly interacting particle systems, moderate and large deviations (with applications in rare events simulation), random graphs, uncertainty quantification, queuing theory, and mean-field games.

Click here for my complete CV.

I am co-organizing the Analysis and Probability Seminar (formerly known as PADS) at ISU.

My research is partially supported by the National Science Foundation DMS-2308120 (2023-2026) and Simons Foundation MP-TSM-00002346 (2023-2028).

I am currently recruiting a postdoc (MathJobs link).

Preprints and Publications

Marginal dynamics of probabilistic cellular automata on trees. With D. Lacker and K. Ramanan. Near completion.
Probabilistic cellular automata with local transition matrices: synchronization, ergodicity, and inference. With E. Bayrakta, F. Lu, M. Maggioni, and S. Yang. 2024. [arXiv:2405.02928]
Exploiting data locality to improve performance of heterogeneous server clusters. With Z. Zhao, D. Mukherjee. Stochastic Systems, 14(3):229--272, 2024. [arXiv:2211.16416][Journal]
Propagation of chaos of forward-backward stochastic differential equations with graphon interactions. With E. Bayraktar and X. Zhang. Applied Mathematics and Optimization, 88, 25, 2023. [arXiv:2202.08163][Journal]
Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees. With D. Lacker and K. Ramanan. Probability Theory and Related Fields, 187:817--884, 2023. [arXiv:2009.11667][Journal]
Local weak convergence for sparse networks of interacting processes. With D. Lacker and K. Ramanan. The Annals of Applied Probability, 33(2):643--688, 2023. [arXiv:1904.02585v3][Journal]
Graphon mean field systems. With E. Bayraktar, S. Chakraborty. The Annals of Applied Probability, 33(5):3587--3619, 2023. [arXiv:2003.13180][Journal]
Graphon particle system: Uniform-in-time concentration bounds. With E. Bayraktar. Stochastic Processes and their Applications, 156:196--225, 2022. [arXiv:2105.11040][Journal]
The L-shaped Selection Algorithm for Multi-trait Genomic Selection. With F. Amini, G. Hu and L. Wang. Genetics, 221(3), 2022. [Journal]
Stationarity and uniform in time convergence for the graphon particle system. With E. Bayraktar. Stochastic Processes and their Applications, 150:532--568, 2022. [arXiv:2008.10173][Journal]
Rare event asymptotics for exploration processes for random graphs. With S. Bhamidi, A. Budhiraja and P. Dupuis. The Annals of Applied Probability, 32(2):1112--1178, 2022. [arXiv:1912.04714][Journal]
Mean field interaction on random graphs with dynamically changing multi-color edges. With E. Bayraktar. Stochastic Processes and their Applications, 141:197--244, 2021. [arXiv:1912.01785][Journal]
Locally interacting diffusions as Markov random fields on path space. With D. Lacker and K. Ramanan. Stochastic Processes and their Applications, 140:81--114, 2021. [arXiv:1911.01300][Journal]
Many-server asymptotics for join-the-shortest-queue: Large deviations and rare events. With A. Budhiraja and E. Friedlander. The Annals of Applied Probability, 31(5):2376--2419, 2021. [arXiv:1904.04938][Journal]
Robust bounds and optimization at the large deviations scale for queueing models via Renyi divergence. With R. Atar, A. Budhiraja and P. Dupuis. The Annals of Applied Probability, 31(3):1061--1099, 2021. [arXiv:2001.02110][Journal]
Large deviations for the single server queue and the reneging paradox. With R. Atar, A. Budhiraja and P. Dupuis. Mathematics of Operations Research, 47(1):232--258, 2021. [arXiv:1903.06870][Journal]
Supermarket model on graphs. With A. Budhiraja and D. Mukherjee. The Annals of Applied Probability, 29(3):1740--1777, 2019. [arXiv:1712.07607][Journal]
Weakly interacting particle systems on inhomogeneous random graphs. With S. Bhamidi and A.Budhiraja. Stochastic Processes and their Applications, 129(6):2174--2206, 2019. [arXiv:1612.00801][Journal]
Open problem---Weakly interacting particle systems on dense random graphs. Stochastic Systems, 9(3):315--317, 2019. [Journal]
Large deviations for Brownian particle systems with killing. With A. Budhiraja and W.-T. Fan. Journal of Theoretical Probability, 31(3):1779--1818, 2018. [arXiv:1609.03107][Journal]
Moderate deviation principles for weakly interacting particle systems. With A. Budhiraja. Probability Theory and Related Fields, 168(3):721--771, 2017. [arXiv:1510.02187] [Journal]
Some fluctuation results for weakly interacting multi-type particle systems. With A. Budhiraja. Stochastic Processes and their Applications, 126(8):2253--2296, 2016. [arXiv:1505.00856] [Journal]

Last updated: 2024-05