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
 


Weight one forms
 


Images of modular Galois representations
 


Products of Eigenforms
 


Sums of Fractions and Monodromy
 


Salem numbers
 


Lecture notes, slides etc.