Research
Research Papers
Sharp Hausdorff Bounds for the Interior Singular Set of Convex k-Hessian Solutions (2026). arXiv:2607.28988.
Factorial residues modulo a prime: beyond the square-root bound (2026). arXiv:2608.01781.
Phase-randomised Riesz products and a further improvement towards the lonely runner conjecture (joint statement with Benjamin Bedert, 2026; both authors independently obtained the exponent 13/8, each with AI assistance; the proof presented in the statement was developed primarily by AI). PDF.
Research Notes
Separating Prime Blocks and Phase-Resolved Asymptotics for Harmonic Subset Sums.
Reflection Completions and Weighted Stability for Strongly 2-Primitive Sets.
A Gibbs-Greedy N2/3 Construction for Sine Sums and Riesz-Product Consequences of Two-Dissociation.
A logarithmic-square construction for squarefree pairwise sums.
From Isospectrality to Geometry.
Notes on Erdos Problem 143: GCD Graphs, LYM Flows, and Multiscale Packing.