Coxeter groups are fundamental algebraic structures defined by generators corresponding to reflections and relations encoded in a Coxeter matrix. They provide a rich framework for understanding ...

Algebraic Structures and Combinatorial Geometry represent an increasingly interwoven field that harnesses the rigour of algebra with the spatial intuition of geometry. At its core, the study explores ...

Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...

Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...

The number theory group at Bristol is one of the largest in the UK, and its interests span elliptic curves, computational number theory, quantitative arithmetic geometry, quadratic forms, L-functions ...