Homological algebra and representation theory are two interconnected fields in mathematics that focus on the study of algebraic structures and their relationships. Homological algebra deals with ...

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 ...

Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...

Interactions between theoretical computer science and mathematics (particularly algebraic geometry, representation theory, and group theory). In particular, this currently involves studying orbit ...

Research Area A will focus on problems of algebraic nature with methods ranging from representation and cohomology theory to model theory and mathematical logic. The p-adic and characteristic p ...

Representation theory transforms abstract algebra groups into things like simpler matrices. The field’s founder left a list of 43 problems for others to study, iterate on, and prove. One ...