Professors with interests in algebra

Group Theory: Properties of almost-simple groups, applications to the inverse Galois problem and braid groups.

Finite Groups and Finite Geometries: Geometries associated with groups of Lie type, generalized n-gons and their automorphism groups.

Character Theory: Character value estimates in finite groups.

Non-Commutative Ring Theory: Free algebras, matrix localizations, division rings of quotients of enveloping algebras of Lie algebras, and matrices over these.

Module Theory: Infinite-dimensional modules over finite-dimensional algebras, irreducible modules over Heisenberg algebras.

Lie Algebras, Linear Algebra, and Number Theory: Root systems, evaluation of determinants, and Diophantine equations.

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