Personal Information

I’m an undergraduate in the School of Mathematical Science(SMS), Peking University(PKU). During my first two years in PKU, I had some interesting research experience on the Homological Mirror Symmetry(HMS) under the supervision of Prof. Lei Yang. Now, my research advisors are Prof. Hao Ge and Dr. Wuchen Li. I’m very lucky and pleased with working with them.

Research Interest

I’m primarily interested in several areas related to optimal transport, including statistical optimal transport, mathematical physics equation(i.e. Schrodinger equation) and Ricci Flow. A detailed list below:

• Wasserstein statistics and data science, Wasserstein barycenter and mathematical theory of GAN.
• Stochastic analysis and stochastic mechanics, and probability dynamics.
• Wasserstein geometry, dynamics and connections with equations in mathematical physics, Ricci Flow. Here is some survey on interaction between Ricci Flow, entropy, and optimal transport.
• Application to the numerical solution of PDE, design of discrete schemes for PDE from geometric property.

Contact

• Email
  • Zhaojx21 [@] pku [DOT] edu [DOT] cn
  • zjx98math [@] gmail [DOT] com
• WeChat
  •