3 papers
math.AG2026
Graded Keller maps and the Jacobian Conjecture
T. Shaska
Rational points on weighted projective spaces are sparse: a point of lifts along the Veronese morphism only when a Kummer condition holds at every prime…
cs.DB2026
A Unified Mathematical Framework for Distributed Data Fabrics: Categorical Hypergraph Models
T. Shaska, I. Kotsireas
Current distributed data fabrics lack a rigorous mathematical foundation, often relying on ad-hoc architectures that struggle with consistency, lineage, and scale. We propose a mat…
quant-ph2025
Graded Quantum Codes
Tony Shaska
This work develops a geometric framework for constructing quantum error-correcting codes from weighted projective and orbifold structures, integrating algebraic geometry, divisor t…