University home | Studying | Research | Business and community | Working here | Alumni and supporters | Our departments | Visiting us | About us

• Homepage
• Key Information
  • Almanac
  • Building Access
  • Building Maps
  • College Policies
  • College Structure
  • Key Academic Roles
  • Academic Groups
  • Key Professional Service Contacts
  • Staff Profiles
    • Academic Staff
    • Research Staff
    • Postgraduate Research Students
    • Professional Services Staff
    • Honorary Staff and Visitors
    • All Staff
  • Events and Colloquia
  • Useful Links
• Students
• Staff
• PGR
• Health and Safety
• Computer Support
• National Student Survey (NSS)
• Intranet Help

Prof Nigel Byott

• Profile
• Publications

Prof Nigel Byott

Professor of Pure Mathematics

Location: Harrison 320

Telephone: 01392 723982

Extension: (Streatham) 3982

Career

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.

Research

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.

PhD Supervision:

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. 

Teaching.  

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.

Other Responsibilities

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.