Tutorial Fellow in Mathematics, Brasenose College
University Lecturer in Pure Mathematics
MMath (Oxford), PhD (Cambridge)
Academic Background and Previous Positions
After reading mathematics at Christ Church, I received my PhD from the University of Cambridge in 2004 and stayed at Christ's College, Cambridge as a Junior Research Fellow until 2006. I held academic positions at the Universities of Sheffield, Nottingham and Queen Mary University of London before returning to Oxford in 2013.
Undergraduate Teaching Areas
First and second year tutorials in pure mathematics, third and fourth year intercollegiate classes in algebra and number theory.
I am interested in applying techniques from algebraic geometry and noncommutative algebra to study problems in representation theory, arising from areas of algebraic number theory such as non-commutative Iwasawa theory and the Langlands programme.
On irreducible representations of compact p-adic analytic groups, with S.J.Wadsley, Annals of Mathematics 178 (2013) 453-557.
Prime ideals in nilpotent Iwasawa algebras, Inventiones mathematicae 190(2) (2012) 439-503.
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