My research interests focus on the analysis of partial differential equations, including dispersive and wave evolution equations, and their applications to hydrodynamics and geometric analysis. I am also interested in calculus of variations and stochastic analysis.

Papers and Preprints

Interaction Between Long Internal and Free Surface Waves in Deep Water (joint with Adilbek Kairzhan and Catherine Sulem), in preparation
A Bochner Formula on Path Space for the Ricci Flow, Calc. Var. PDE 62(83), 2023 [journal | pdf | arXiv]

Thesis, Lecture Notes, Etc.

Two Problems in Non-Linear Evolution Equations (PhD thesis), University of Toronto, 2023 [TSpace | pdf]
Stochastic Differential Equations (solutions to Oksendal), 2021 [pdf]