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
- Analysis of a Rigid Structure Floating in a Viscous Fluid in the Shallow Water Regime (joint with Giusy Mazzone), in preparation
- Interaction Between Long Internal Waves and Free Surface Waves in Deep Water (joint with Adilbek Kairzhan and Catherine Sulem), Water Waves, 2024 [journal | pdf | arXiv]
- 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 Øksendal), 2025 [pdf]
Selected Talks
- 2024-Sep-10, BIRS Stochastics and Geometry Workshop, Banff, AB [video]
- 2024-Jun-26, CAIMS Annual Meeting, Kingston, ON
- 2024-Jun-02, CMS Summer Meeting, Saskatoon, SK
