معرفی
Professor Neil Dummigan is a Professor of Mathematics at the School of Mathematical and Physical Sciences, University of Sheffield. He specializes in number theory, arithmetic geometry, and automorphic forms, with a focus on congruences involving Hecke eigenvalues, Galois representations, and L-functions. His research explores connections between modular forms, motivic L-functions, and Selmer groups, often applying the Langlands program framework.
Research interests include:
- Modular forms and their congruences modulo critical L-values
- Galois representations and their modularity
- Bloch-Kato conjectures and Selmer group constructions
- Automorphic forms on groups like GSp₄ and U(2,2)
Teaching includes modules such as MAS345 Codes and Cryptography and MAS211 Advanced Calculus and Linear Algebra. He has led grants including Congruences of Siegel Modular Forms (EPSRC-funded) and published extensively in journals like Experimental Mathematics and Selecta Mathematica. His work often combines theoretical insights with computational experiments to explore L-function properties and arithmetic conjectures.
Professional roles include serving as Mathematics and Statistics Senior Tutor. His research has contributed to understanding links between algebraic geometry, representation theory, and number theory through automorphic forms and their arithmetic applications.
