Sebastian Debus Forschung

Fachbereich Mathematik und Statistik
Schwerpunkt Reelle Geometrie und Algebra > Prof. Dr. M. Schweighofer > Mitarbeiter > Sebastian Debus

Preprints

with K. K. Gottwald
Posets for Specht ideals of essential real reflection groups
^{https://arxiv.org/abs/2506.15335}

Published articles

with T. Metzlaff
Additive and Multiplicative Coinvariant Spaces of Weyl Groups in the Light of Harmonics and Graded Transfer
Journal of Algebra 690 (2026)
^{https://doi.org/10.1016/j.jalgebra.2025.11.008}

with J. Acevedo, G. Blekherman and C. Riener
The Wonderful Geometry of the Vandermonde map
FOCM (online first)
^{https://doi.org/10.1007/s10208-025-09718-6}

with A. Kretschmer
Symmetric Ideals and Invariant Hilbert Schemes
Journal of Algebra 686 (2026)
^{https://doi.org/10.1016/j.jalgebra.2025.08.023}

with C. Riener and R. Schabert
Slices of stable polynomials and connections to the Grace-Walsh-Szegő theorem
Journal of Symbolic Computation 133 (2026)
^{doi.org/10.1016/j.jsc.2025.102488}

with J. Acevedo, G. Blekherman and C. Riener
Symmetric nonnegative functions, the tropical Vandermonde cell and superdominance of power sums
Collectanea Mathematica (online first)
^{https://doi.org/10.1007/s13348-025-00481-z}

with C. Goel, S. Kuhlmann and C. Riener
On nonnegative invariant quartics in type A
Journal of Symbolic Computation 128 (2025)
^{https://doi.org/10.1016/j.jsc.2024.102393}

with P. Moustrou, C. Riener and H. Verdure
The poset of Specht ideals for hyperoctahedral groups
Algebraic Combinatorics 6 (2023)
^{https://alco.centre-mersenne.org/item/10.5802/alco.316.pdf}

with C. Riener
Reflection groups and cones of sums of squares
Journal of Symbolic Computation 119 (2023)
^{https://doi.org/10.1016/j.jsc.2023.03.001}

Thesis:

Combinatorics of Reflection Groups and Real Algebraic Geometry

Doctoral dissertation at UiT - The Arctic University of Tromsø (2022)

^{https://hdl.handle.net/10037/27224}