Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

Algebraic structures—such as groups, rings, modules and Lie algebras—provide formal frameworks for operations and symmetries that underpin vast areas of mathematics and its applications. Category ...

Many mathematical puzzles in everyday life, like estimating travel time or making a budget, are straightforward. The building blocks that we learn as children — addition, subtraction, multiplication, ...

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 ...