Algebraic geometry, a venerable branch of mathematics, focuses on the study of algebraic varieties—geometric ... including progress in cryptography, coding theory, and mathematical physics.

Algebraic groups ... but also paved the way for applications in areas spanning cryptography to the arithmetic of abelian varieties. Recent investigations have made significant strides in ...

Our faculty and students research all aspects of theoretical computer science, from core areas such as algorithms, complexity, and cryptography, to connections with other fields such as machine ...

Both these topics are central to mathematics— and connect to subjects ranging from Number Theory and cryptography ... linear subspaces of varieties, modular curves, and rational points on ...

A simple geometric idea has been used to power advances in information theory, cryptography and even blockchain technology ... curve — through given points on that curve. These so-called algebraic ...

from analytic to algebraic. There is a focus on arithmetic geometry, including arithmetic dynamics, elliptic curves and higher genus curves. Another theme is cryptography and coding theory, including ...

These are so-called algebraic varieties, which are the zero-sets of polynomials, and certain geometric objects called manifolds." Manifolds are smooth topological spaces that can be considered in ...

2024.3359988 Kathryn Haymaker et al, Algebraic hierarchical locally recoverable codes with nested affine subspace recovery, Designs, Codes and Cryptography (2024). DOI: 10.1007/s10623-024-01510-x ...