Add to ORKGIn this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation.Final versio
peer reviewedWe study modular Galois representations mod p^m. We show that there are three progressi...
This thesis is made up of $3$ separate pieces of work in two themes. In the first half, we prove a ...
We prove modularity of certain residually reducible ordinary 2- dimensional p-adic Galois represent...
In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a c...
peer reviewedWe show that any two-dimensional odd dihedral representation \rho over a finite field o...
We introduce Galois families of modular forms. They are a new kind of family coming from Galois repr...
peer reviewedIn this article we consider mod p modular Galois representations which are unramified a...
peer reviewedA two-dimensional Galois representation into the Hecke algebra of Katz modular forms of...
We study the approach of N.M. Katz to define $p$-adic modular forms, first as sections of tensor pow...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
We propose an algebraic definition of the space of l-new mod-p modular forms for Gamma0(Nl) in the c...
In this thesis we extend the work of Dummigan and Fretwell on congruences of ``local origin''. Such ...
The thesis deals with certain aspects of Katz modular forms over finite fields, in particular of wei...
[cat] Aquesta tesi té dos objectius. El primer és contribuir en la teoria de congruències entre form...
The main result of this article states that the Galois representation attached to a Hilbert modular ...
peer reviewedWe study modular Galois representations mod p^m. We show that there are three progressi...
This thesis is made up of $3$ separate pieces of work in two themes. In the first half, we prove a ...
We prove modularity of certain residually reducible ordinary 2- dimensional p-adic Galois represent...
In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a c...
peer reviewedWe show that any two-dimensional odd dihedral representation \rho over a finite field o...
We introduce Galois families of modular forms. They are a new kind of family coming from Galois repr...
peer reviewedIn this article we consider mod p modular Galois representations which are unramified a...
peer reviewedA two-dimensional Galois representation into the Hecke algebra of Katz modular forms of...
We study the approach of N.M. Katz to define $p$-adic modular forms, first as sections of tensor pow...
We define oldforms and newforms for Drinfeld cusp forms of level t and conjecture that their direct ...
We propose an algebraic definition of the space of l-new mod-p modular forms for Gamma0(Nl) in the c...
In this thesis we extend the work of Dummigan and Fretwell on congruences of ``local origin''. Such ...
The thesis deals with certain aspects of Katz modular forms over finite fields, in particular of wei...
[cat] Aquesta tesi té dos objectius. El primer és contribuir en la teoria de congruències entre form...
The main result of this article states that the Galois representation attached to a Hilbert modular ...
peer reviewedWe study modular Galois representations mod p^m. We show that there are three progressi...
This thesis is made up of $3$ separate pieces of work in two themes. In the first half, we prove a ...
We prove modularity of certain residually reducible ordinary 2- dimensional p-adic Galois represent...