MY PRIMARY RESEARCH INTEREST

I am interested in low-dimensional topology, differential geometry, and global analysis. In particular, I have interest in problems concerning topology and geometry of manifolds and knots in 3 and 4 dimensions. 

Most recently, I have been focusing on Seiberg-Witten equations and Floer homology, exploring their applications to 4-dimensional topology. 

PUBLICATION

SELECTED TALKS

• Review Monopole Floer Homology and Invariant Theta Characteristics- Taubes’ Seminar, Harvard Mathematics Department (Jan 2023)

• Entanglement Entropy (EE) and Factorization map of the Hilbert Spaces in JT Gravity- Harvard Mathematical Physics Seminar (Jun 2020)

• Introduction to the Reeh-Schlieder Theorem and EE in Quantum Field Theory- Harvard Mathematical Physics Seminar (Jun 2020)

• Search for H→ bb decay channel of the standard model Higgs Boson- Undergraduate Research Conference, Imperial College London (Jan 2016)

EVENTS (that I am organizing or attending)

Seminars and Conferences

Georgia International Topology Conference 2025
May 19-30, 2025 - University of Georgia

Georgia Topology Summer School and Conference 2024
May 15-24, 2024 - University of Georgia

UGA/ GA Tech Joint Topology Seminar
November 13, 2023 - 3:00pm- Boyd University of Georgia

UGA's Research Topology Seminar
[On Going Seminar] Every Monday- 3:00pm ET- Boyd University of Georgia

Tangled in Knot Theory Conference
May 22-25, 2023- ICERM Brown University  

Taube's Secret Weekly Seminar (Gauge-theory and it's interaction with 3- and 4-manifolds)
Every Wednesday, Sep 2022- May 2023- 7pm ET- Zoom
[No Seminars in the Fall of 2023]