F. Thorne

works on

abelian extensions 1 asymptotic counting 1 galois groups 1 malle's conjecture 1 symmetric groups 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

G \times A

, with

G = S_{3}, S_{4}, S_{5}

4 citations · 4 across the 1 of their papers we have counts for

collaborators

3 papers

math.NT2026★ 4 cited

Malle's Conjecture for $G \times A$ , with $G = S_{3}, S_{4}, S_{5}$

Riad Masri, Frank Thorne, Wei-Lun Tsai +1

The authors prove Malle’s conjecture for number fields whose Galois group is a direct product of S3, S4, or S5 with any abelian group, extending earlier results that required restr…

math.NT2025

Asymptotics for $6$ -torsion and $D_{6}$ -extensions

Peter Koymans, Robert J. Lemke Oliver, Efthymios Sofos +1

We prove a composite case of the Cohen--Lenstra--Gerth heuristics. Specifically, we establish an asymptotic for the average $6$ -torsion of the class group of quadratic number field…

math.NT2024

Improved bounds on number fields of small degree

Theresa C. Anderson, Ayla Gafni, Kevin Hughes +5

We study the number of degree $n$ number fields with discriminant bounded by $X$ . In this article, we improve an upper bound due to Schmidt on the number of such fields that was pr…

Malle's Conjecture for G×A, with G=S3​,S4​,S5​

Asymptotics for 6-torsion and D6​-extensions

Improved bounds on number fields of small degree

Malle's Conjecture for $G \times A$ , with $G = S_{3}, S_{4}, S_{5}$

Asymptotics for $6$ -torsion and $D_{6}$ -extensions