Who's Who in
Sciences Academia

    Andrew Mathas

  • Associate Professor
  • Andrew Mathas
  • http://www.maths.usyd.edu.au/u/mathas
  •  
  • School of Mathematics & Statistics
  • http://www.maths.usyd.edu.au/
  • University of Sydney
  •  
  • Sydney
    Australia
  •  
  • Ph.D
  • 1993
  • University of Illinois at Chicago
  •  
  • Contact by e-mail?
  •  
  • My main area of interest and expertise is the representation theory of Coxeter groups, Iwahori-Hecke algebras and Schur algebras. Recently my work has focused on the modular representation theory of the Ariki-Koike algebras and the associated cyclotomic q-Schur algebras. This theory is intimately connected with the representation theory of affine Hecke algebras and quantum groups; there are also ramifications for the representation theory of the symmetric groups and finite reductive groups.

    Other active interests include:

    * Cyclotomic Hecke algebras, complex reflection groups and their braid groups.
    * The q-Schur algebras and cyclotomic q-Schur algebras.
    * Combinatorics of symmetric groups and Hecke algebras.
    * The theory of Cellular algebras.
    * Affine Hecke algebras.
    * Quantum groups, canonical bases, and crystal graphs.
    * Kazhdan-Lusztig polynomials and cell representations.
    * Coxeter groups and groups of Lie type, and their representation theory.
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