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Areas of Research in Algebra

Professors Drucker, Frohardt, Gluck, Jonah, Magaard, Malcolmson, Makar-Limanov and Okoh
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
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.
Infinite Abelian Groups
Quantum Groups