Soergel bimodules provide an influential framework in modern representation theory, serving as a categorification of Hecke algebras and linking algebraic combinatorics with geometry. They are ...

The School of Mathematics and Statistics is one of the largest mathematical sciences schools in Australia, and the University of Sydney is the only Australian university to have received the highest ...

Algebraic groups and their representations lie at the heart of modern mathematics, forming a bridge between abstract algebraic structures and geometric intuition. The study of algebraic groups entails ...

Representation theory was initially dismissed. Today, it’s central to much of mathematics. When representation theory emerged in the late 19th century, many mathematicians questioned its worth. In ...