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.
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.
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.
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.
Sharp Spectral Gap Estimates on Manifolds under Integral Ricci Curvature Bounds (with X. Ramos and S. Seto), arXiv2510.27083.
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), ACM Trans. Math. Softw. (2025).