Algebra: algebraic groups and monoids, invariant theory, torsors and stacks, Galois cohomology, quadratic forms, algebraic geometry, combinatorial algebra, computer algebra, derived categories, representation theory.
The algebra group at Western studies a variety of topics that connect to many areas of mathematics. The topics include algebraic groups and monoids, invariant theory, torsors and stacks, Galois cohomology, quadratic forms, algebraic geometry, combinatorial algebra, computer algebra, derived categories and representation theory.
If you are interested in graduate work in this research area, direct your application to the Department of Mathematics
- Janusz Adamus - Analytic geometry, commutative algebra, singularities.
- Dan Christensen - Homotopy theory, representation theory, derived categories, homotopy type theory.
- Graham Denham - Algebraic and geometric combinatorics.
- Ajneet Dhillon - Algebraic geometry, algebraic stacks, moduli of bundles.
- Matthias Franz - Toric geometry and topology, computational algebra.
- Chris Hall - Number theory, Graph theory, Cryptography.
- Rick Jardine - Homotopy theory, algebraic K-theory, algebraic geometry, number theory and category theory.
- Chris Kapulkin - Higher category theory, Homotopy type theory, Formal verification, Cryptography.
- Nicole Lemire - Invariant theory, representation theory, Lie theory and algebraic groups.
- Ján Minác - Algebraic number theory, field theory, Galois cohomology, quadratic forms, Brauer groups, algebraic K-theory.
- David Riley - Combinatorial algebra.