Prof Nigel Byott
Professor of Pure Mathematics
Telephone: 01392 723982
Extension: (Streatham) 3982
After undergraduate study in Cambridge, and taking "Part III" of the Mathematics Tripos there, I was a PhD student in Manchester, where my thesis was on "Cleft Extensions of Hopf Orders". I was G.H.Hardy Junior Research Fellow at New College, Oxford for two years before coming to Exeter in 1991 as Lecturer in Pure Mathematics.
My research is at the interface of algebraic number theory and abstract algebra.
My main area of research is Hopf-Galois theory (which generalises classical Galois Theory), and its connections certain algebraic structures related to skew braces which arise in connection with the Yang-Baxter Equation in theoretical physics. I also work on various aspects Galois module structure in tamely or wildly ramified extensions of local and global fields, including the determination of realisable classes for tame extensions, and the occurrence of Hopf orders as associated orders of rings of integers.
I may be available to supervise PhD projects related to Hopf-Galois theory, skew braces, integral Galois module theory. Please contact me for further information.
Over the years I have taught a number of topics within Pure Mathematics (Mathematical Structures, Topology & Metric Spaces, Real Analysis, Galois Theory, Number Theory, ..), and also Mathematics: History and Culture, and Mathematical Theory of Option Pricing.
I am currently .co-Director of Education & Student Experience in the Department of Mathematics & Statistics. I have previously held various other administrative roles, including Academic Lead for the Number Theory, Geometry and Algebra groupdmissions Officer and Assessment Officer.
I am also Exeter representative for the London Mathematical Society, and was for 10 years a member of the LMS Editorial Advisory Board.