Homotopy Theory and its relations with Homological Algebra and Representation Theory.
The homotopy theory of fusion systems and applications to modular representation theory.
Funding and Grants
Nuffield Foundation (2004)
EPSRC (2006), Project Title: "Combinatorial and Homotopy Theory of Classifying Spaces of Fusion Systems"
Probablity Thoery (MA2505)
Engineering Analysis and Methods (EG3006)
Understanding Data (ST1506)
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The complex of injective words of permutations which are not derangements is contractibleWorking Papers: Preprint Papers
Punctured groups for exotic fusion systemsTransactions of the London Mathematical Society, vol. 10, no. 1, pp. 21-99Contributions to Journals: Articles
Pricing Multi-Asset Contingent Claims in a Multi-Dimensional Binomial MarketJournal of Stochastic Analysis, vol. 4, no. 1, 2Contributions to Journals: Articles
European baskets in discrete-time continuous-binomial market modelsWorking Papers: Preprint Papers
Hedging of European type contingent claims in discrete time binomial market modelsWorking Papers: Preprint Papers
Directional asymptotic cones of groups equipped with bi-invariant metricsWorking Papers: Preprint Papers
Analytical Solutions for the Inverse Problem within Gradual SemanticsWorking Papers: Preprint Papers
Uniform boundedness for algebraic groups and Lie groupsWorking Papers: Preprint Papers
Strong and uniform boundedness of groupsJournal of Topology and AnalysisContributions to Journals: Articles
Pricing and hedging contingent claims in a multi-asset binomial marketWorking Papers: Working Papers