Research

Some recent publications and preprints:

Reflection-odd functional methods for modular constraints in CFT2

The Riemann Ξ-function from primitive Markovian cycles I: A canonical construction

The Riemann Ξ-function from primitive Markovian cycles II: Strip rigidity and divisor identification

Spectral Geometry of the Primes

Stability bounds on inflationary initial states from UV–IR reflection on a trans-Planckian band

Path Integral approach to Black-hole Evaporation and Accretion

Lapse–Inversion Symmetry of the Minisuperspace Kernel and a Crossover Scale

Interpretive Underdetermination and the No-Boundary Proposal

Tensor-Sum Composability of Two-Term Heat Trace Asymptotics and Spectral Curvature

Spectral-Dimension Obstructions for Operators with Superlinear Counting Laws

Fun projects we are also working on:

A physics-first approach to the Gauss Circle Problem

A mathematical language for David Bohm's Holomovement

An entropic view of the Lonely Runner Conjecture

A spectral geometric approach to Quasinormal Modes of Kerr Black Holes