Xuan Wu

Xuan Wu is an Assistant Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. Their research focuses on probability theory, stochastic processes, and mathematical physics, with particular emphasis on topics such as the KPZ universality class, line ensembles, and random matrix theory. Key contributions include studies on the convergence properties of the KPZ line ensemble, Bessel processes, and directed polymer models under various scaling regimes.

Research Interests:

• Stochastic Analysis
• Integrable Probability
• Statistical Mechanics
• Random Matrix Theory
• Non-equilibrium Systems
• Scaling Limits

Recent work explores applications of optimal transport theory to Dyson Brownian motions and investigates determinantal structures in Bessel fields. Publications often address tightness criteria for Gibbsian line ensembles and regularity properties of stochastic processes. No awards or grants are explicitly listed in the provided materials.

Advising and Labs: Currently no advisees listed. Research activities are centered in the Department of Mathematics, with potential collaborations in mathematical physics and probability groups at UIUC.