Overview
My research is primarily in the area of stochastic partial differential equations (SPDE). Some specific topics of recent interest:
- SPDE in "critical" (scale-invariant) and "super-critical" (high-dimensional) settings.
- Ergodic theory of the stochastic Burgers equation.
Current Appointments & Affiliations
Assistant Professor of Mathematics
·
2023 - Present
Mathematics,
Trinity College of Arts & Sciences
Recent Publications
Simultaneous global inviscid Burgers flows with periodic Poisson forcing
Journal Article Annales Henri Lebesgue · December 12, 2025 We study the inviscid Burgers equation on the circle T := R/Z forced by the spatial derivative of a Poisson point process on R × T. We construct global solutions with mean θ simultaneously for all θ ∈ R, and in addition construct their associated global sh ... Full text Open Access CiteEdwards–Wilkinson fluctuations in subcritical 2D stochastic heat equations
Journal Article Electronic Communications in Probability · December 4, 2025 Full text CiteInvariant measures for the open KPZ equation: an analytic perspective
Preprint · December 4, 2025 Full text CiteRecent Grants
Stochastic partial differential equations: the critical dimension and invariant measures
ResearchPrincipal Investigator · Awarded by National Science Foundation · 2024 - 2027View All Grants
Education, Training & Certifications
Stanford University ·
2020
Ph.D.