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Non-commutative algebra and geometry and its links to number theory. Arithmetico-geometric properties of Shimura varieties. Cohomology of arithmetic groups. Extremal combinatorics, in particular Turan-type problems for hypergraphs. Application of combinatorics to statistical mechanics. Lattice points and random points related to convex bodies
Researchers
- Prof Imre Barany Visiting Professor
- Prof Andrew Granville Chair of Mathematics
- Dr Richard Hill Reader in Mathematics
- Dr Javier Lopez Pena UCL Teaching Fellow
- Mr Simon Myerson Research Associate
- Prof Yiannis Petridis Professor of Mathematics
- Prof Alan Sokal Professor of Statistical Mechanics & Combinatorics
- Dr John Talbot Reader in Pure Mathematics
- Prof Andrei Yafaev Professor of Pure Mathematics
- Prof Sarah Zerbes Professor of Mathematics