60 citations · 106 across the 16 of their papers we have counts for
4 papers · 1 filter
On the computation of the HNF of a module over the ring of integers of a number field
Jean-François Biasse, Claus Fieker, Tommy Hofmann
We present a variation of the modular algorithm for computing the Hermite normal form of an -module presented by Cohen, where is the ring of integers o…
Computing in quotients of rings of integers
Tommy Hofmann, Claus Fieker
We develop algorithms to turn quotients of rings of rings of integers into effective Euclidean rings by giving polynomial algorithms for all fundamental ring operations. In additio…
Zeta Functions of Lattices of the Symmetric Group
Tommy Hofmann
The symmetric group of degree admits an -dimensional irreducible -module corresponding to the hook partition …
Computing tropical points and tropical links
Tommy Hofmann, Yue Ren
We present an algorithm for computing zero-dimensional tropical varieties based on triangular decomposition and Newton polygon methods. From it, we derive algorithms for computing…