Current Duke Appointments & Affiliations
Professor of Mathematics
·
2024 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Scholarly Works
Absence of anomalous dissipation for vortex sheets
Journal article Journal of Functional Analysis · March 15, 2026 A family of solutions of the incompressible Navier-Stokes equations is said to present anomalous dissipation if energy dissipation due to viscosity does not vanish in the limit of small viscosity. In this article we present a proof of absence of anomalous ... Full text CiteInvertibility of a Linearized Boussinesq Flow: A Symbolic Approach
Journal article Communications in Mathematical Physics · November 1, 2025 We develop a computer-assisted symbolic method to show that a linearized Boussinesq flow in self-similar coordinates gives rise to an invertible operator. ... Full text CiteOn the long-time behavior of scale-invariant solutions to the 2d Euler equation and applications
Journal article Annales Scientifiques de l'École Normale Supérieure · September 15, 2025 Full text CiteRecent Grants
Singularity Formation in Incompressible Fluids
ResearchPrincipal Investigator · Awarded by Simons Foundation · 2025 - 2030Singularities, Steady Structures, and Mixing in Incompressible Fluid Flows
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2025 - 2028CAREER:Formation of Small Scales and Dissipation in Incompressible Fluids
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2020 - 2025View All Grants
Education
New York University ·
2014
Ph.D.