Onyx Gautam (they/she)

I am a third-year mathematics PhD student at Princeton University. My advisor is Igor Rodnianski.

I am interested in general relativity and nonlinear wave equations.

I did my undergraduate degree at Stanford University, where I was advised by Jonathan Luk.

You can email me at onyxg [at] institution [dot] edu.

Papers

  1. Late-time tails for linear waves on axisymmetric stationary spacetimes of two space dimensions (in preparation)

  2. Late-time tails and mass inflation for the spherically symmetric Einstein–Maxwell–scalar field system (2024)
    arXiv:2412.17927

Talks

Fields Institute conference on singularities and cosmic censorship 05.2026
Georgia Tech, Elaine Hubbard PDE seminar (slides) 01.2026
ICERM workshop on extremal black holes and the third law of black hole thermodynamics (slides, video) 01.2026

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
Endpoint Sobolev embedding

Teaching

In Spring 2026, I am 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.