Mark Chambers

Email: mdchambers1@sheffield.ac.uk

Office: J14B, Hicks Building

I am a PhD Student at the University of Sheffield, supervised by Neil Dummigan, within the Number Theory Group.

My PhD is concerned with showing that congruences of modular forms leads to congruences of their algebraic L-values, and refining this to congruences of Fourier coefficients of their theta lifts to half-integral weight.

Though, more generally, I am interested in how one can gain explicit number theoretic information from automorphic forms e.g. Hecke eigenvalues, L-values, and "special" periods. I am especially interested in mod p aspects of all of these.