Photo of Prof Nigel Byott

Prof Nigel Byott

Associate 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. 

I 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 am also interested in Hopf-Galois theory, in particular, the enumeration of all Hopf-Galois structures  on a given field  extension, and in comparing the behaviour of rings of integers in different Hopf-Galois structures.


Over the years I have taught a number of topics within Pure Mathematics, and also Mathematics: History and Culture, and Mathematical Theory of Option Pricing.

In 2013/14 I am teaching the modules ECM1706 Numbers, Symmetries and Groups and ECM3738 Galois Theory.

Other Responsibilities

Within the College, I am a member of the Mathematics Admissions team, and am seminar organiser for Pure Mathematics,

I am also Exeter representative for the London Mathematical Society, and am a member of the LMS Editorial Advisory Board.