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.

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

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.

Canonical-lane closure package for the Beilinson conjectures: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

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

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

Canonical-lane closure package for Sato-Tate general forms: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Bloch-Kato conjecture: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

Canonical-lane closure package for the Generalized Riemann Hypothesis: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.

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

Canonical-lane closure package for the Grand Riemann Hypothesis: admissible-class formulation, projection gates, local-to-global bridge, and carried remainder.