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  
MAS369 Machine Learning Information  
MAS469 Machine Learning Information  
MAS6019 Machine Learning and Time Series Information Home page
MAS61007 Machine learning Information  


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


Director of Teaching, Programme Level Lead

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.