A modular harmonic sieve for detecting nontrivial Riemann zeta zeros through phase-locked resonance, leveraging the interplay of base-3 and base-π spirals to isolate precise zero locations without statistical approximation. Ideal for mathematical research, numerical experiments, and algorithm development.

Exploring the relationship between conformal rigidity, spectral properties, and genus of graphs.

First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.

An experimental O(N) language model based on mathematical physics (Birman-Schwinger theory). A PyTorch implementation aiming to surpass Mamba in long-context stability and memory efficiency (O(N log N)) through Prime-Bump initialization and scattering theory routing.