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Categories and Combinatorics

Category theory is a recent branch of mathematics originating in algebraic topology, but rapidly establishing connections with algebra, logic, algebraic and differential geometry, and most recently computer science. Category theory is particularly suited to providing conceptual frameworks for mathematical areas. The most rapidly developing areas in recent years have been in computer science, quantum groups and homotopy theory. The Sydney Category Seminar is a world centre of research in Category Theory.

The main interests of the Combinatorics group concern applications of category theory to computer science, one of the hottest research areas of theoretical computer science, and to algebraic combinatorics, the name given to the recent cross-fertilization between two great areas of mathematics: algebra and combinatorics.

Research Areas
Categorical computer science, computational category theory, categories with structure, enriched category theory, braided tensor categories, quantum groups, higher dimensional categories.

Dr K. Wehrhahn (K.Wehrhahn@maths.usyd.edu.au)


Related Pages

Categories and Combinatorics Research Group
The members of the categories and combinatorics group.

The Australian Categories Seminar
The Australian Category Seminar meets each Wednesday afternoon, alternating between Sydney University and Macquarie University.

Recent publications by members of the group.

For questions or comments please contact the Webmaster. Last updated August 2002.
Copyright 2002, The University of Sydney, School of Mathematics and Statistics. All rights reserved.