I'm interested in Differential Geometry and Geometric Analysis. They have strong relationships to theoretical physics; like General Relativity, Quantum Field Theory and more.
Most recently I'm learning Principle G-bundles and Yang-Mills equations. Also 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 -
GTA Philadeplphia 2025
GATSBY (Geometry and Topology at Brown and Yale) seminar 2025 Spring - Brown University
Joint Mathematics Meetings (JMM) 2025 January - Seattle, WA
New England Algebraic Topology and Mathematical Physics Seminar, 2024 November - Providence, 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)
Ricci Flows reading seminar, 2025 April @Brown: Parabolic rescaling of Ricci flow
Model Categories and Abstract Homotopy theory 2025
What is talk, 2025 April 8 @Brown: Persistent Homology