Welcome to my website!
I am a visiting assistant professor at UC Irvine. I previously obtained my PhD from UC Santa Barbara working with Guofang Wei.
My research interests are in Geometric Analysis.
Here is my CV (updated Jan 2025).
Welcome to my website!
I am a visiting assistant professor at UC Irvine. I previously obtained my PhD from UC Santa Barbara working with Guofang Wei.
My research interests are in Geometric Analysis.
Here is my CV (updated Jan 2025).
Papers:
Modulus of Concavity and Fundamental Gap Estimates on Surfaces (with G. Khan and G. Wei), arXiv:2306.06053.
Spectral Gap Estimates on Conformally Flat Manifolds (with G. Khan), arXiv:2404.15645.
Learning from landmarks, curves, surfaces, and shapes in Geomstats (with L. Pereira, A. Brigant, A. Myers, E. Hartman, A. Khan, T. Dold, P. Suarez-Serrato, N. Miolane), arXiv:2406.10437.
On the Identifiability of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds (with S. Tang, H. Zhou), SIAM Journal on Applied Mathematics 84 (2024), no 5, 2067-2086.
Log-concavity and Fundamental Gap Estimates on Surfaces Positive Curvature (with G. Khan, X. H. Nguyen, G. Wei), Communications in Analysis and Geometry 33 (2025), no 1, 239-260.
Concavity Properties of Solutions of Elliptic Equations under Conformal Deformations (with G. Khan and S. Saha), Mathematische Zeitschrift 310 (2025), no. 70.
A Priori Log-Concavity Estimates for Dirichlet Eigenfunctions (with G. Khan and S. Saha), Annals of Global Analysis and Geometry 67 (2025), no. 26.