Frazer Jarvis

Dr Frazer Jarvis is a Professor in Pure Mathematics and Mathematics Programme Lead at the School of Mathematical and Physical Sciences, University of Sheffield. His research focuses on algebraic number theory, modular forms, elliptic curves, and Galois representations, with contributions to the Langlands Program and generalizations of Fermat's Last Theorem. He has held a grant from the EPSRC on modularity of elliptic curves over totally real fields.

Research Interests: Dr Jarvis explores advanced topics in number theory, including the interplay between modular forms and elliptic curves, Galois representations, and arithmetic geometry. He investigates extensions of Fermat's Last Theorem to other fields and equations, leveraging techniques from algebraic geometry and representation theory.

• Publications span 20+ years, including work on isogenies, theta lifts, and combinatorial problems like Sudoku enumeration.
• Teaching responsibilities include modules like MAS111 Mathematics Core II and MAS369 Machine Learning.
• Member of the Number Theory research group at the University of Sheffield.

His recent articles address cutting-edge questions in number theory, such as the modularity of elliptic curves, p-adic analysis, and applications to algebraic structures. He actively contributes to both theoretical advancements and pedagogical innovations.