Algebraic K-theory of algebraic groups is a field that interlaces the structural properties of linear algebraic groups with the deep algebraic invariants encoded in K-groups. At its core, this ...

Representation theory of algebraic groups is the study of how algebraic groups act by linear transformations on vector spaces. Central to the subject is the analysis of modules over the group algebra ...

This workshop focuses on recent advances around the (co-)homology of general linear and related groups. These basic topological invariants are, for example, related to questions in algebraic K-theory ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Inside the symmetries of a crystal shape, a postdoctoral researcher has unearthed a counterexample to a basic conjecture about multiplicative inverses. “I’m nearly at the end of the talk, and it’s ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. Most folks who have been ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

You scrambled up a Rubik’s cube, and now you want to put it back in order. What sequence of moves should you make? Surprise: You can answer this question with modern algebra. You might remember ...