Research

I am Interested In differential geometry problems with physical Inspiration and/or application. 

Coming soon

• Uniqueness Results for Static Asymptotically Locally Hyperbolic Manifolds (available upon request)

• The Penrose Inequality for Asymptotically Hyperbolic Manifolds of Dimension 2 (available upon request)

Travel

2026:

• Geometric Analysis: Parabolic and Elliptic Methods (Stockholm, Sweden)

• scalpotmas2026 : Scalar curvature, potential theory and notions of mass (Nancy, France)

• Talk @ UConn Differential Geometry Seminar

2025:

• HIM Trimester In Metric Analysis (full program; Bonn, Germany)

• Talk @ University of Luxembourg G&T seminar

• Rutgers Gauge Theory, Low-Dimensional Topology, and Geometric Analysis Conference (Rutgers, NJ)

• Topics in Differential Geometry Grad Student Work Shop (Providence, RI)

• Geometry and Convergence in Mathematical General Relativity (full program; Stony Brook, NY)

2024: 

• CHANGE - CHallenges in ANalysis and GEometry (Zurich, Switzerland)

• Recent progress on geometric analysis and Riemannian geometry (Berkeley, CA)

2023:

• VIASM - ICTP Summer School on Differential Geometry  (Hanoi, Vietnam)

Research/activities I did in undergrad.