Adèlic spectral frameworks for computational number theory: exploring exact discrete bounds for pattern avoidance via CP-SAT, and quantum-physical realizations of automorphic L-function zeros.

Framework for spectral confinement in Ring-LWE. Proves ETH violation via the Pi_2 Gaussian primorial attractor. Features IPR analysis yielding a sub-extensive fractal dimension D2 ~ 0.2329 and geometric renormalization (eps = pi*sqrt(2G)) based on Catalan's constant. Includes reproducible Jupyter Notebooks for lattice cryptanalysis.

Sato-Tate general forms via equidistribution persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Generalized Riemann Hypothesis via L-function zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

A Thermodynamic Heuristic Framework for the Birch and Swinnerton-Dyer Conjecture

The Beilinson conjectures via regulator-L-value persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Book IV of Dark Geometry: complete spectral theory of the holographic fibration H = M^d ×σ F; the Hertault Axiom e^(dσ)=I; spectral reformulations of RH/BSD/Yang–Mills; black-hole thermodynamics; G₄, σ_s from d=3. 400+ theorems, zero free parameters. Verification code.

The Bloch-Kato conjecture via Selmer-L-value persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Formalization experiments around structural behavior near critical points of arithmetic functions.

Ghost Rank: Spectral Phase Transitions and the 1/√e Diffusion Law in Elliptic Curves

The Grand Riemann Hypothesis via Artin-automorphic zero persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Sueda Senturk Avci - Master of Mathematics Student - University of Manitoba