A. Fiori

activity

20182021

most citedThe unbounded denominator conjecture for the noncongruence subgroups of index

7

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.RT2021

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Clifton Cunningham, Andrew Fiori, Qing Zhang

We begin this paper by reviewing the Langlands correspondence for unipotent representations of the exceptional group of type $G_{2}$ over a $p$ -adic field $F$ and present it in an ex…

math.NT2020★ 1 cited

The unbounded denominator conjecture for the noncongruence subgroups of index $7$

Andrew Fiori, Cameron Franc

We study modular forms for the minimal index noncongruence subgroups of the modular group. Our main theorem is a proof of the unbounded denominator conjecture for these groups, and…

math.AG2019

Embeddings of maximal tori in groups of type $F_{4}$

Andrew Fiori, Federico Scavia

We classify maximal tori in groups of type $F_{4}$ over a local or global field of characteristic different from $2$ and $3$ . We prove a local-global principle for embeddings of maxi…

math.NT2018

Lower Bounds for the Least Prime in Chebotarev

Andrew Fiori

In this paper we show there exists an infinite family of number fields $L$ , Galois over $Q$ , for which the smallest prime $p$ of $Q$ which splits completely in $L…

Toward the endoscopic classification of unipotent representations of p-adic G2​

The unbounded denominator conjecture for the noncongruence subgroups of index 7

Embeddings of maximal tori in groups of type F4​

Lower Bounds for the Least Prime in Chebotarev

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

The unbounded denominator conjecture for the noncongruence subgroups of index $7$

Embeddings of maximal tori in groups of type $F_{4}$