Preprints
-
Witten instanton complex and Morse-Bott inequalities on stratified pseudomanifolds
with Hadrian Quan and Gayana Jayasinghe, arxiv 2412.12003
Reading Group
- Ricci flow (Spring 2025)
Talks
The following are slides/notes of the talks that I have given.
| Date | Title | Event | Links |
|---|---|---|---|
| Oct 14, 2024 | Fefferman-Graham expansion and Dirichlet-to-Neumann map of conformally compact Einstein metrics | Graduate Geometry and Topology Seminar, UIUC | Abstract, Notes |
| Apr 9, 2024 | Conformal Geometry in Lovelock Gravity Theories | AWM Graduate Student Colloquium, UIUC | Abstract |
| Feb 22, 2024 | The fractional Laplacian through Dirichlet problem formulation | Graduate Geometry and Analysis Seminar, UIUC | Abstract, Notes |
| Nov 10, 2023 | Introduction to Lovelock metrics | Graduate Geometry and Analysis Seminar, UIUC | Abstract, Notes |
| Feb 3, 2023 | The ambient obstruction tensor | Graduate Geometry and Analysis Seminar, UIUC | Abstract, Notes |
| Oct 26, 2022 | Introduction to Einstein-Maxwell equations | Graduate Geometric Analysis Seminar, UIUC | Abstract, Notes |
| Oct 12, 2022 | The renormalized volume of conformally compact Einstein manifolds | Graduate Geometric Analysis Seminar, UIUC | Abstract, Notes |
| Feb 11, 2022 | Einstein metrics with prescribed conformal infinity | Graduate Analysis Seminar, UIUC | Abstract, Notes |
| Apr 9, 2021 | The Yamabe problem | Graduate Geometry and Topology Seminar, UIUC | Slides |