Algebraic-Geometry

• Tropical Geometry: Algorithmic Applications in Optimization, Phylogenetics, and Deep Learning · 2022-09-15

  A rigorous exploration of tropical geometry—the min-plus semiring, tropical varieties, and the unexpected connections between algebraic geometry and combinatorial algorithms.

• Algebraic Geometry in Computer Science: Gröbner Bases, the Nullstellensatz, and Applications in Cryptography and Coding Theory · 2022-08-21

  A rigorous exploration of how algebraic geometry—Gröbner bases, Hilbert's Nullstellensatz, and elliptic curves—powers modern cryptography, error-correcting codes, and complexity theory.