Papers
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Semilinear wave equations on the Witten bubble spacetime (in preparation)
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Late-time tails for linear waves on radially symmetric stationary spacetimes of two space dimensions (2026)
arXiv:2605.03220 -
Late-time tails and mass inflation for the spherically symmetric Einstein–Maxwell–scalar field system (2024)
arXiv:2412.17927
Talks
| ICMS workshop on PDE perspectives in gravity (lightning talk) | 09.2026 |
| Fields Institute conference on singularities and cosmic censorship (video) | 05.2026 |
| Georgia Tech, Elaine Hubbard PDE seminar (slides) | 01.2026 |
| ICERM workshop on extremal black holes (slides, video) | 01.2026 |
| Princeton general relativity student seminar (notes) | 11.2025 |
| Princeton graduate student seminar (notes) | 11.2025 |
| Princeton general relativity student seminar (notes) | 04.2025 |
Notes
Any errors are my own! Comments welcome.
Stable Big Bang formation (notes
on this paper)
Kaluza–Klein reduction
The Weyl tube formula
Decay without a rate
Klein–Gordon on
Schwarzschild (notes
on this paper)
Morawetz estimate on Schwarzschild
Morawetz estimate on
Minkowski
Generals transcript
Endpoint Sobolev embedding
Teaching
In Spring 2026, I was a grader for MAT 425: Analysis III: Integration Theory and Hilbert Spaces.
In Fall 2025, I was a TA for MAT 203: Advanced Vector Calculus.
I have also mentored undergraduate students in directed reading programs. Topics include the pigeonhole principle, category theory, and curve shortening flow.