Professors Drucker,
Frohardt, Gluck, Jonah,
Magaard, Malcolmson, Makar-Limanov
and Okoh
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Group Theory
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Properties of almost-simple groups,
applications to the inverse Galois problem and braid groups.
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Finite Groups and Finite Geometries
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Geometries associated with groups of Lie type,
generalized n-gons and their automorphism groups.
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Character Theory
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Character value estimates in finite groups.
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Non-Commutative Ring Theory
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Ring Theory
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Free algebras,
matrix localizations,
division rings of quotients of enveloping algebras of Lie algebras,
and matrices over these.
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Module Theory
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Infinite-dimensional modules over finite-dimensional algebras,
irreducible modules over Heisenberg algebras.
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Lie Algebras, Linear Algebra, and Number Theory
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Root systems, evaluation of determinants, and Diophantine equations.
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Infinite Abelian Groups
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Quantum Groups
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