Paul Bourgade

Paul Bourgade is a Professor of Mathematics at New York University's Courant Institute, affiliated with the Faculty of Arts and Science. He holds a Ph.D. from Université Paris 6 (2009), and prior degrees in Mathematics, Physics, and Computer Science from top-tier French institutions. His research focuses on probability theory, particularly random matrices and their connections to statistical physics, partial differential equations, and analytic number theory. He has authored numerous high-impact publications on topics like the random matrix universality class and the Riemann zeta function.

Education:

• Ph.D., Mathematics, Université Paris 6, 2009
• M.S., Probability and Computer Science, 2007
• B.S., Mathematics and Physics, École Polytechnique, 2006

Research Interests:

Bourgade explores the probabilistic structures underlying complex systems. His work bridges random matrix theory with statistical physics, addressing questions about eigenvalue distributions, universality phenomena, and connections to number theory. Recent projects include studies on non-Hermitian dynamics, zeta function zeros, and the universality of β-ensembles.

Professional Roles:

• Editor, Annals of Probability
• Associate Editor, Communications on Pure and Applied Mathematics
• Organizer of the Courant Institute Probability Seminar

Advising:

• Guided undergraduate/master’s research on zeta function extrema, Dirichlet L-functions, and Brownian behavior analogies.