Alexander J Dunlap

Alexander J. Dunlap is an Assistant Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. He holds a Ph.D. from Stanford University (2020), advised by Lenya Ryzhik, and served as an NSF postdoc at NYU Courant (2020-2023), sponsored by Jean-Christophe Mourrat and Yuri Bakhtin.

His research focuses on stochastic partial differential equations (SPDEs), particularly in critical/super-critical settings, ergodic theory of the stochastic Burgers equation, and Liouville quantum gravity metrics. He has contributed to understanding degenerate heat equations, viscous shock fluctuations, and invariant measures in stochastic conservation laws.

• Education:
  • Ph.D. in Mathematics, Stanford University, 2020
  • Postdoc at NYU Courant Institute, 2020-2023

His work bridges probability theory, PDEs, and applied mathematics, with applications to statistical physics and nonlinear dynamics. He currently organizes the Duke Probability Seminar and has received NSF funding (DMS-2346915) for research on critical-dimension SPDEs and invariant measures.

Recent publications explore topics such as uniqueness in degenerate heat equations, stationary solutions of Burgers flows, and fluctuations in KPZ universality. His research also extends to sum-of-norms clustering algorithms and branching Brownian motion models.