Research Papers
Weighted Hinge Comparison and Rigidity from Modified Hessian Estimates
In Preparation
Comparison Geometry on Manifolds with Density via Modified Hessians
Preprint (2026). arXiv:2605.24407
On homogeneous closed gradient Laplacian solitons
Differential Geometry and its Applications 93, (2024). arXiv:2302.11441
On homogeneous closed gradient Laplacian solitons and the modified conformal Hessian
Syracuse University Ph.D. Thesis (2023).
Research Interests
My research interests are in Riemannian geometry. I am broadly interested in weighted curvature of manifolds with density and solitons of geometric flows. Recently, I am interested in the geometric consequences of a modified Hessian tensor arising from the framework of Kennard-Wylie-Yeroshkin for studying manifolds with density.
Upcoming Talks
"On homogeneous closed gradient Laplacian solitons", Informal Geometric Analysis Seminar - Northwestern University, October 26, 2023
"Homogeneous Closed Gradient Laplacian Solitons", Joint Mathematics Meeting, AMS Special Session on New Developments in Differential Geometry and Topology - Boston, Massachusetts, January 5, 2023
"Normed Divison Algebras, Vector Cross Products, and G_2-Structures", MGO Colloquium - Syracuse University, October 20, 2022
"Homogeneous Closed Gradient Laplacian Solitons", Geometry and Topology Seminar - Syracuse University, October 7, 2022