activity
20032025
most citedSeparating invariants over finite fields

13 citations · 25 across the 16 of their papers we have counts for

collaborators

18 papers

math.AC2025

On Noether's Degree Bound for Finite Group Schemes

Gregor Kemper, Christian Liedtke, Christiane Ott

This paper establishes Noether's classical degree bound for finite and linearly reductive group schemes. On the other hand, we provide examples of infinitesimal grou…

math.AC2024

Invariant Theory: a Third Lease of Life

Gregor Kemper

In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30 years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels approach…

math.AC2022

Can a Ground-Based Vehicle Hear the Shape of a Room?

Mireille Boutin, Gregor Kemper

Assume that a ground-based vehicle moves in a room with walls or other planar surfaces. Can the vehicle reconstruct the positions of the walls from the echoes of a single sound eve…

math.RT2020★ 13 cited

Separating invariants over finite fields

Gregor Kemper, Artem Lopatin, Fabian Reimers

We determine the minimal number of separating invariants for the invariant ring of a matrix group over the finite field . We show th…

math.AC2019

Valuative dimension and monomial orders

Gregor Kemper, Ihsen Yengui

The main result from this note provides a constructive characterization of the valuative dimension, which bears a strong analogy to Lombardi's constructive characterization of the…

math.AC2019

A Drone Can Hear the Shape of a Room

Mireille Boutin, Gregor Kemper

We show that one can reconstruct the shape of a room with planar walls from the first-order echoes received by four non-planar microphones placed on a drone with generic position a…