Group algebras form a central bridge between group theory and ring theory, constructed by taking formal linear combinations of group elements over a chosen coefficient ring or field. When the ...

Algebraic topology seeks to classify and analyse spaces by translating geometric and continuous properties into algebraic invariants. Among these, the fundamental group stands as a primary tool: it ...

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 ...

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 ...