Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

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 ...

Algebra teachers should show students both correctly and incorrectly solved problems and have students discuss them, according to a new algebra practice guide published by the U.S. Department of ...

Current Projects • EXC 2044 - T04: Groups and actions The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one ...

University of Chicago mathematicians Alexander Beilinson and Vladimir Drinfeld have been awarded the prestigious Wolf Prize for Mathematics “for their groundbreaking work in algebraic geometry, ...

My primary research interests are in algebra and combinatorics. In particular, I work within the realm of combinatorial representation theory, attempting to connect combinatorial objects (such as ...

Masaki Kashiwara has won the 2025 Abel prize, sometimes called the Nobel prize of mathematics, for his work on algebraic analysis. Kashiwara, a professor at Kyoto University, Japan, received the award ...