My work is on the analysis of partial differential equations, with an emphasis on equations arising from fluids.
Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space, with Elaine Cozzi and Nick Harrison, Submitted for Publication, https://arxiv.org/pdf/2510.20773
Well Posedness for the Euler Equations in Function Spaces of Generalized Smoothness, with Nick Harrison, Submitted for Publication, https://arxiv.org/abs/2510.02626
Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations, Journal of Mathematical Fluid Mechanics (2026)
Global Existence for a nonlocal multi-species aggregation-diffusion equation, with Elaine Cozzi, Quarterly of Applied Mathematics (2025)