A 4D geometric topology approach to high-speed cryptography.

Interactive model of a 3-dimensional Rep-Tile constructed by a procedure described in the 2024 paper 'Rep-Tiles' by Ryan Blair, Patricia Cahn, Alexandra Kjuchukova, Hannah Schwartz.

The Smooth 4-Dimensional Poincare Conjecture via smooth-structure persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Borel conjecture via topological-rigidity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Poincaré Conjecture: A Reframed Optimization of the Hamilton-Perelman Proof

The Novikov conjecture via higher-signature persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The L-theory assembly conjecture via quadratic-form persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

The Stable Borel conjecture via topological-rigidity persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Conditional combinatorial descent framework for the Poincare Conjecture via triangulated 3-manifolds and Pachner moves