60 citations · 106 across the 16 of their papers we have counts for
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math.RT2017
On Integral Forms of Specht Modules Labelled by Hook Partitions
Susanne Danz, Tommy Hofmann
We investigate integral forms of simple modules of symmetric groups over fields of characteristic labelled by hook partitions. Building on work of Plesken and Craig, for every…
cs.MS2017★ 60 cited
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language
Claus Fieker, William Hart, Tommy Hofmann +1
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algori…
math.NT2017★ 8 cited
Valuations of -adic regulators of cyclic cubic fields
Tommy Hofmann, Yinan Zhang
We compute the -adic regulator of cyclic cubic extensions of with discriminant up to for , and observe the distribution of the -adic valuation…