Dr Frazer Jarvis

Position: Reader
Home page: http://www.afjarvis.staff.shef.ac.uk/
Telephone: (0114) 2223845
Office: J12 Hicks building
Photo of Frazer Jarvis


MAS111 Mathematics Core II Information Home page (also MOLE)
MAS465 Multivariate Data Analysis Information uses MOLE
MAS6011 Dependent Data Information uses MOLE


Interests: Algebraic number theory, Galois representations
Research group: Number Theory
Publications: Preprint page, ArXiv, MathSciNet


Past grants, as Principal Investigator
Modularity of elliptic curves over totally real fields EPSRC


Disability Liaison Officer, The Senior Tutor for undergraduate affairs, Tutor for Men Students

Research interests:

Dr Jarvis works in the area of algebraic number theory, an area which uses techniques from algebra, algebraic geometry and classical number theory, amongst others. In particular, he studies the relationship between modular forms, elliptic curves and representations of Galois groups. That this is currently an active area of research is clear from the recent proof of Fermat's Last Theorem by Andrew Wiles; Wiles uses exactly these methods in his proof. Dr Jarvis is particularly interested in generalisations of these ideas (known as the Langlands Philosophy), and even in possible generalisations of Fermat's Last Theorem. For example, one might ask whether the Fermat equation of a given degree (or a similar equation) has solutions in a given field extension of the rationals. Within this speciality, there are a number of possible research topics.