The representation theory faculty work on a range of problems related to Lie algebras and algebraic groups, using techniques drawn from combinatorics, geometry, and algebra. An algebraic group is an ...

Representation theory studies the ways in which abstract algebraic objects—groups, rings, algebras and categories—can act by linear transformations on vector spaces or modules. By encoding an ...

In a significant advancement for the field of mathematics, Professor Pham Tiep of Rutgers University has solved two fundamental problems that have puzzled mathematicians for decades. Tiep’s ...