I am now a Hans Rademacher Instructor of Mathematics in Department of Mathematics in University of Pennsylvania.
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: zwang423@math.upenn.edu. Mail: Department of Mathematics, David Rittenhouse Lab. 209 South 33rd Street, Philadelphia, PA 19104-6395. Office: 4N63 Office Phone Number: (215) 898-7844. |

- 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. To appear in Séminaire Laurent Schwartz — EDP et applications. (2019) [arXiv]
- With D. Bresch and P.E. Jabin, Mean Field Limit and Quantitative Estimates with a Large Class of Singular Kernels. In preparation.
- With H. Hassani and Z. Shen, Sinkhorn Barycenter via Functional Gradient Descent. Submitted to ICML 2020.

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 July, 2018.