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 ...

Transactions of the American Mathematical Society, Vol. 149, No. 2 (Jun., 1970), pp. 503-537 (35 pages) We construct a general class of Banach algebras which include as special cases the group algebra ...

Current Projects • EXC 2044 - T01: K-Groups and cohomology K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to geometric topology to ...

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, ...

We describe how 1 Algebra I teacher and her 8th-grade students used meta-representational knowledge when generating and evaluating equations to solve word problems. Analyzing data from a sequence of 4 ...

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 ...

Current Projects • CRC 1442 - A01: Automorphic forms and the p-adic Langlands programme The past years have seen tremendous progress in the development of a categorical approach to the arithmetic of ...