Preprints
-
Conformally compact metrics and the Lovelock tensors
arXiv:2505.24188
-
Witten instanton complex and Morse-Bott inequalities on stratified pseudomanifolds
with Hadrian Quan and Gayana Jayasinghe
arXiv:2412.12003
Reading Group/Seminar Notes
- 4D Ricci flow (Fall 2025)
- Ricci flow (Spring 2025)
Talks
The following are slides/notes of the talks that I have given.
| Date | Title | Event | Links |
|---|---|---|---|
| Oct 18, 2025 | Asymptotic Behavior of Conformally Compact Lovelock Metrics | AMS Sectional Meeting 2025, Saint Louis University | Abstract |
| Sep 18, 2025 | Boundary Expansions and Singular Yamabe Compactifications in Lovelock Geometry | Geometric Analysis Seminar, UIUC | Abstract, Notes |
| Jun 7, 2025 | Asymptotic Behavior of Conformally Compact Lovelock Metrics | Great Lakes Mathematical Physics Meeting, University of Kentucky | Abstract |
| 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 |