Eknath Ghate's Papers

My papers are available below. A complete list of publications is here.

Special values of twisted tensor L-functions

Congruences for modular forms

Modular endomorphism algebras

There is a program that we wrote which illustrates some of the theorems proved in the paper above. The code builds on the 1999  C++ version of the modular symbols engine HECKE written by W. Stein. Our program can be run locally by

Splitting of Galois representations

Filtered modules and Galois representations

Reductions of Galois representations

Non-admissible representations

Weight one forms

Images of modular Galois representations

Products of Eigenforms

Sums of Fractions and Monodromy

Salem numbers

Lecture notes, slides etc.