I'm interested in Differential Geometry and Geometric Analysis. They have strong relationships to theoretical physics; like General Relativity, Quantum Field Theory and more.
Currently my main interest is theory of p-Harmonic maps between Riemannian Manifolds and into non-positively curved metric spaces (CAT(0) spaces) including the case there p is infinity.
I'm interested in Guage theory and applications of Geometric Analysis in Quantum Field Theory.
"There is a difference between knowing what is true and knowing why it is true"
- Edward Witten -
DRP workshop 2026 - Tufts University, Oct 2026
Soul and Shape: Metric Structures and Geometric Analysis Conference - University of Oklahoma, April 2026
GTA Philadeplphia 2025 (Funded by Temple University)
GATSBY (Geometry and Topology at Brown and Yale) seminar 2025 Spring - Brown University
Joint Mathematics Meetings (JMM) 2025 January - Seattle, WA (Funded by Brown University)
New England Algebraic Topology and Mathematical Physics Seminar, 2024 November - Providence College, RI
GATSBY (Geometry and Topology at Brown and Yale) seminar 2024 Fall - Yale University
PCMI USS in Quantum Computing (by IAS) 2023 summer- Park City, UT (Funded by NSF, Simons Foundation)
Parabolic rescaling of Ricci flow: Ricci Flows reading seminar (2025 April at Brown)
Mini Talks
Introduction to Clifford Algebras (2026 Spring, Brown University)
Introduction to Model Categories and Abstract Homotopy theory (2025 Spring, Brown University)
Abelian Kummer Theory (2025 Fall)
What is talk, 2025 April 8 @Brown: Persistent Homology
Unimodular lattices, equidistributions and 3-gap theorem (2024 Summer at PCMI Park City UT by IAS)