I am a Professor of Pure Mathematics in the School of Mathematics and Statistics at the University of Sydney.
School of Mathematics and Statistics F07
University of Sydney, NSW 2006.
Office    Carslaw 718
+61 2 9351 6058 (W)
+61 2 9351 4534 (Fax)
andrew dot mathas at sydney dot edu dot au
Curriculum vitae

Research Interests

The representation theory of the symmetric groups, and the closely related cyclotomic Hecke algebras of type A, was transformed when Brundan and Kleshchev's discovery of a grading on these algebras following work of Khovanov-Lauda and Rouquier. The graded theory is harder than the "classical" approach to this subject but it reveals deeper underlying features of the representation theory that we could not see before.

The theory is now best understood in terms of categorification, which gives intimate connectors between the symmetric groups and the highest weight representation theory of the quantised affine special linear groups, The underlying problems are still the same - we want to compute the (graded) dimensions and the (graded) decomposition numbers of these algebras - but there is now more structure to work with.

Other active interests include:

I am a member of the Algebra research group and an associate editor for Algebras and Representation Theory.  


See the arXiv and MathSciNet. The versions on the arXiv may differ slightly from the published articles.







I am one of the developers for the Sage-combinat group, an open-source platform for computer calculations in algebraic combinatorics, which is part of the Sage project. I have a large amount of code that is included in the current version of Sage. When I have time to streamline and document the code I will add my implementation of graded Specht modules to Sage.



I have contributed to the Gap 3 project, including to chevie. (I have to confess that I never liked Gap 4 so I have never used it. As Gap4 is not backwardly compatible my code does not run on it.) The following programs are included in Gap 3.4.4, however, slightly updated versions can be downloaded from Jean Michel's Gap 3 distribution.


Other programs

Some mathematics links

Mathematics preprint archives

If I were a Springer-Verlag Graduate Text in Mathematics, I would be J.-P. Serre's Linear Representations of Finite Groups.

My creator is a Professor at the College de France. He has previously published a number of books, including Groupes Algebriques et Corps de Classes, Corps Locaux, and Cours d'Arithmetique (A Course in Arithmetic, published by Springer-Verlag as Vol. 7 in the Graduate Texts in Mathematics).

Which Springer GTM would you be? The Springer GTM Test