Benjamin Breen

activity

20172021

collaborators

3 papers

math.NT2021

The 2-Selmer group of $S_{n}$ -number fields of even degree

Benjamin Breen

This paper is an extension of the work of Dummit and Voight on modeling the 2-Selmer group of number fields. We extend their model to $S_{n}$ -number fields of even degree and develop…

math.NT2019

On unit signatures and narrow class groups of odd degree abelian number fields

Benjamin Breen, Ila Varma, John Voight +1

For an abelian number field of odd degree, we study the structure of its 2-Selmer group as a bilinear space and as a Galois module. We prove structural results and make predictions…

math.RT2017

The Computation of Fourier transforms on $SL_2(\mathbb{Z}/p^n\mathbb{Z}) and related numerical experiments

Benjamin K. Breen, Daryl R. Deford, Jason D. Linehan +1

We detail an explicit construction of ordinary irreducible representations for the family of finite groups $S L_{2} (Z / p^{n} Z)$ for odd primes $p$ and $n \geq 2$ . Fo…

The 2-Selmer group of Sn​-number fields of even degree

On unit signatures and narrow class groups of odd degree abelian number fields

The Computation of Fourier transforms on $SL_2(\mathbb{Z}/p^n\mathbb{Z}) and related numerical experiments

The 2-Selmer group of $S_{n}$ -number fields of even degree