Add to ORKGABSTRACT. Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arithmetic applications. In this article, we generalize some of his work to square-free level. More specifically, we compute the index of an Eisenstein ideal and the dimension of the m-torsion of the modular Jacobian variety, where m is an Eisenstein maximal ideal. In many cases, th
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
Abstract. Most rank two Drinfeld modules are known to have infinitely many supersingular primes. But...
Mazur’s fundamental work on the Eisenstein ideal of prime level has a variety of arithmetic applicat...
Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arith- metic applicat...
In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congr...
Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide ...
AbstractLet N be a prime number, and let J0(N) be the Jacobian of the modular curve X0(N). Let T den...
Let CN be the cuspidal subgroup of the Jacobian J0(N) for a square-free integer N > 6. For any Eisen...
Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide ...
We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to eac...
Thesis (Ph.D.)--University of Washington, 2019In this thesis, we aim to give algorithms for computin...
AbstractLet N be a prime number, and let J0(N) be the Jacobian of the modular curve X0(N). Let T den...
Consider the Fourier expansions of two elements of a given space of modular forms. How many leading ...
In these notes, we present various useful results concerning prime ideals. We characterize prime and...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
Abstract. Most rank two Drinfeld modules are known to have infinitely many supersingular primes. But...
Mazur’s fundamental work on the Eisenstein ideal of prime level has a variety of arithmetic applicat...
Mazur’s fundamental work on Eisenstein ideals for prime level has a variety of arith- metic applicat...
In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congr...
Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide ...
AbstractLet N be a prime number, and let J0(N) be the Jacobian of the modular curve X0(N). Let T den...
Let CN be the cuspidal subgroup of the Jacobian J0(N) for a square-free integer N > 6. For any Eisen...
Let N be a non-squarefree positive integer and let l be an odd prime such that l(2) does not divide ...
We explicitly write the Eisenstein elements inside the space of modular symbols corresponding to eac...
Thesis (Ph.D.)--University of Washington, 2019In this thesis, we aim to give algorithms for computin...
AbstractLet N be a prime number, and let J0(N) be the Jacobian of the modular curve X0(N). Let T den...
Consider the Fourier expansions of two elements of a given space of modular forms. How many leading ...
In these notes, we present various useful results concerning prime ideals. We characterize prime and...
If M is a torsion-free module over an integral domain, then we show that for each submodule N of M t...
AbstractAn ideal I in a Noetherian ring R is normally torsion-free if Ass(R/It)=Ass(R/I) for all t≥1...
Abstract. Most rank two Drinfeld modules are known to have infinitely many supersingular primes. But...