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 ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

It’s not often that a mathematics textbook is described as “gorgeous” or “a work of practical art.” But An Illustrated Theory of Numbers by Martin Weissman, associate professor of mathematics at UC ...

AI software has collaborated with mathematicians to successfully develop a theorem about the structure of knots, but the suggestions given by the code were so unintuitive that they were initially ...