I am now a Tenure Track Assistant Professor at Beijing International Center for Mathematical Research (BICMR) , Peking University. I was a Hans Rademacher Instructor of Mathematics at Department of Mathematics , University of Pennsylvania from July 2017 to June 2020. From Sep. 2012 - May 2017, I completed a PhD in Mathematics at Department of Mathematics , University of Maryland, College Park, under the supervision of Prof. Pierre-Emmanuel Jabin. Email: zwang@bicmr.pku.edu.cn Mail: Beijing Internatinoal Center for Mathematical Research, Peking University, 5 Yiheyuan Road, Beijing 100871. 地址：100871北京市海淀区颐和园路5号北京大学北京国际数学中心 Office: 镜春园78号院77102 Office Phone Number: (010)-62744092. |

Fall 2024 实变函数 每周周三7-8节，双周周五3-4节，理教211.

Spring 2024 偏微分方程选讲 每周周五3-4节，单周周三7-8节，三教408.

Fall 2023 实变函数 每周周三7-8节，双周周五3-4节，理教403.

Spring 2023 实分析 每周周二3-4节，单周周四7-8节，一教308.

Fall 2022 实变函数 每周周三7-8节，双周周五3-4节，理教406.

Spring 2022 偏微分方程选讲（Optimal Transport） Lecture Notes .

Fall 2021 高等数学B （上）（Advanced Mathematics B (1)） 每周周一周三10-11节，理教306.

Spring 2021 分析与方程专题 每周周一1-2节，双周周三7-8节，三教306.

My Research Bilibili Channel . Summer Course on Mean Field Limit .

- With P.E. Jabin, Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces. J. Funct. Anal. 271 (2016) 3588-3627. [Journal] or [arXiv]
- With P.E. Jabin, Mean Field Limit for Stochastic Particle Systems. In Active Particles, Volume 1: Theory, Models, Applications, Birkhauser-Springer (Boston), series Modelling and Simulation in Science Engineering and Technology. (2017) [Link] or [PDF]
- With P.E. Jabin, Quantitative estimates of propagation of chaos for stochastic systems with $W^{-1,\infty}$ kernel. Invent. Math. (2018). [Journal] or [arXiv] (This paper has been presented by Prof. Laure Saint-Raymond in the Bourbaki Seminar. See [Article] and [YouTube]. )
- With R. M. Strain, Uniqueness of Bounded Solutions for the Homogeneous Relativistic Landau Equation with Coulomb Interactions. Quart. Appl. Math. (2019). [Journal] or [arXiv]
- With D. Bresch and P.E. Jabin, On Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels: Application to the Patlak-Keller-Segel Model. C.R. Acd. Sci. (2019). [Journal] or [arXiv]
- With D. Bresch and P.E. Jabin, Modulated Free Energy and Mean Field Limit. In Séminaire Laurent Schwartz — EDP et applications. (2019-2020), Talk no.2, 22 p. [arXiv]
- With D. Bresch and P.E. Jabin, Mean-Field Limit and Quantitative Estimates with Singular Attractive Kernels. Duke Mathematical Journal 172, no. 13 (2023): 2591-2641. [arXiv]
- With Z. Shen, A. Ribeiro and H. Hassani, Sinkhorn Barycenter via Functional Gradient Descent. NeurIPS 2020. [arXiv]
- With Z. Shen, A. Ribeiro and H. Hassani, Sinkhorn Natural Gradient for Generative Models. NeurIPS 2020. [arXiv]
- With X. Zhao and R. Zhu, Gaussian fluctuations for interacting particle systems with singular kernels. Archive for Rational Mechanics and Analysis 247, no. 5 (2023): 101. [arXiv]
- With Z. Shen, S. Kale, A. Ribeiro, A. Karbasi and H. Hassani, Self-Consistency of the Fokker-Planck Equation. COLT 2022. [arXiv] [Repo]
- With X. Zhao and R. Zhu, Mean-field limit of Non-exchangeable interacting diffusions with singular kernels. Preprint. [arXiv]
- With Z. Shen, Entropy-Dissipation Informed Neural Network for McKean-Vlasov type PDEs. NeurIPS 2023. [PDF]
- With L. Lei and S. Ling, Analysis and Computation for Interacting Particle Systems. China Basic Science, Issue 4, pages 59-64, 2023.
- With X. Feng, Quantitative Propagation of Chaos for 2D Viscous Vortex Model on the Whole Space. Submitted. [arXiv]
- With V. Ilin and J. Hu, Transport based particle methods for the Fokker-Planck-Landau equation. Submitted. [arXiv]
- With J. Carrillo, X. Feng, S. Guo and P.-E. Jabin, Relative Entropy Method for Particle Approximation of the Landau Equation for Maxwellian Molecules. Submitted. [arXiv]
- With Y. Gong and P. Xie, Uniform-in-time propagation of chaos for second order interacting particle systems. Preprint.
- With L. Chen, J. Jung and P. Pickl, On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations. Preprint.

We have not succeeded in answering all our problems. The answers we have found only serve to raise a whole set of new questions. In some ways we feel we are as confused as ever, but we believe we are confused on a higher level and about more important things.

Last Updated at Feb., 2024.