Research
Papers & Preprints
My work is in mathematical gauge theory and geometric analysis. I also enjoy interdisciplinary work. I have done work in algebraic geometry, stochastic thermodynamics, and astrophysics. The curriculum vitae carries the complete record, including talks.
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Eliminating the Higgs field and perturbing Yang–Mills connections in cone Yang–Mills theory 2026
In preparation Gauge Theory -
Compactness of Cone Yang-Mills Connections 2026
In preparation Gauge Theory -
Primitive Yang–Mills Theory 2026
In preparation Gauge Theory -
On the Resolvent Degree of \(\mathrm{PSL}(n, q)\) 2026
In preparation Algebraic Geometry -
Finite-time decomposition of stochastic entropy production 2026
In preparation Stochastic Thermodynamics -
Machine- and deep-learning-driven angular momentum inference from BHEX observations of the \(n = 1\) photon ring 2025
Published Astrophysics The \(n = 1\) photon ring is an important probe of black hole properties and will be resolved by the Black Hole Explorer (BHEX) for the first time. However, extracting black hole parameters from observations of the \(n = 1\) subring is not trivial. We present a framework for the study of \(n = 1\) photon-ring behaviour and black hole property measurement from BHEX images.
Using KerrBAM we generate a grid of \(\gtrsim 10^6\) images of \(n = 1\) photon rings spanning the entire space of Kerr spins and inclinations, and extract intensity profiles with a feature-extraction method developed specifically for BHEX, which outperforms existing Event Horizon Telescope methods by a factor of \(\sim 3000\). Testing spin recovery on simulated images with gradient boosting and with an extension of Deep Horizon, we find \(\gtrsim 90\%\) correct recovery of black hole properties, and characterize the space of resolution-dependent geometric degeneracies. On general relativistic magnetohydrodynamic simulations of accretion flows, both approaches recover spin accurately at the expected inclination of \(\mathrm{M87}^*\).