Hello! I'm Xinyuan Xie. I am doing my PhD with Prof. Paata Ivanisvili at UC Irvine.
My research lies at the intersection of probability theory, analysis, and convex and discrete geometry, with connections to combinatorics and theoretical computer science.
Email: xinyuax7@uci.edu
Before starting my PhD, I did my undergraduate at the University of Science and Technology Beijing in 2022 where my mentor is Prof. Weifeng Zhao.
Papers
- A simple and efficient curved boundary scheme of the lattice Boltzmann method for Robin boundary conditions of convection–diffusion equations, with Weifeng Zhao and Ping Lin. Applied Mathematics Letters (2021).
- Jackson's inequality on the hypercube, with Paata Ivanisvili and Roman Vershynin (2024).
- Counterexample to majority optimality in NICD with erasures, with Paata Ivanisvili (2025). Invited presentation at STOC 2026 AI + TCS Day.
- Sharp isoperimetric inequalities on the Hamming cube II: The critical exponent, with Polona Durcik, Paata Ivanisvili, and Joris Roos (2026).
- Grokability in five inequalities, with Paata Ivanisvili (2026).
- Sharp log-Sobolev inequalities on finite cyclic groups, with Haonan Zhang (2026).
- Sharp hypercontractivity for free group von Neumann algebras, with Haonan Zhang (2026).
- A Beckmann boundary form of Talagrand's conjecture on the discrete cube, with Paata Ivanisvili and Haonan Zhang (2026).
- The König constant is one, with Haonan Zhang (2026).