Staff and research interests

Yuri Bazlov
Yuri Bazlov

Hopf algebras and quantum groups, applications to representation theory, combinatorics and integrable systems.

Alexandre Borovik
Alexandre Borovik

Group theory: structural properties and finite subgroups of simple algebraic groups, black box groups and non-deterministic methods. Combinatorics: discrete geometries and configurations arising from homogeneous spaces. Model theory: groups of finite Morley rank.

Roger Bryant
Roger Bryant

Groups acting on free Lie algebras; automorphisms of relatively free groups.

Charles Eaton
Charles Eaton

Ordinary and modular representation theory of finite groups.

Marianne Johnson
Marianne Johnson

Free Lie algebras, representation theory, semigroup theory, tropical algebra and geometry.

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Mark Kambites

Combinatorial and geometric group theory, semigroup theory, formal languages and automata, computational complexity, parallel processing, cryptography, and interactions between the above.

Alexander Premet
Alexander Premet

Lie Theory: classifications of finite dimensional simple Lie algebras, enveloping algebras, primitive ideas, finite W-algebras, Modular Representation Theory of Reductive Lie Algebras, Invariant Theory of Algebraic Groups.

Mike Prest
Mike Prest

The Ziegler spectrum of an associative ring, representations of algebras and quivers, structure and complexity of categories of modules and other additive categories.

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Peter Rowley

Finite simple groups, amalgams of groups and completions of amalgams, group geometries, point-line collinearity graphs of sporadic simple groups, coxeter groups, commuting graphs and cages.

Toby Stafford
Toby Stafford

Non-commutative algebra, non-commutative algebraic geometry, rings of differential operators.

Ralph Stohr
Ralph Stöhr

Lie Algebras: Group actions on free Lie algebras. Group Theory: Homological methods in group theory, combinatorial group theory, equations over groups.

Peter Symonds
Peter Symonds

Representation theory and cohomology of groups, homological algebra, profinite groups, group actions on rings, group actions on topological spaces, homotopy theory, and invariant theory.

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