Research

My research concerns theoretical and computational questions in severeal topics. I am particularly interested in symmetries in polynomial optimization, real algebraic geometry and algebraic combinatorics.

Preprints

• with K. K. Gottwald: Posets for Specht ideals of essential real reflection groups , 2025

Publications

• with T. Metzlaff: Additive and Multiplicative Coinvariant Spaces of Weyl Groups in the Light of Harmonics and Graded Transfer in Journal of Algebra Volume 690, 15 March 2026, Pages 806-831

• with J. Acevedo, G. Blekherman and C. Riener: The Wonderful Geometry of the Vandermonde map Online first in FoCM

• with A. Kretschmer: Symmetric Ideals and Invariant Hilbert Schemes in Journal of Algebra Volume 686, 15 January 2026, Pages 595-634

• with C. Riener und R. Schabert: Stable and Hurwitz slices, a degree principle and a generalized Grace-Walsh-Szegő theorem in Journal of Symbolic Computation 133, March–April 2026 (Special issue for the conference MEGA 2024: Effective Methods in Algebraic Geometry)

• with J. Acevedo, G. Blekherman and C. Riener: Symmetric nonnegative functions, the tropical Vandermonde cell and superdominance of power sums Online first in Collectanea Mathematica

• with C. Goel, S. Kuhlmann und C. Riener: On nonnegative invariant quartics in type A in Journal of Symbolic Computation 128, May–June 2025

• with P. Moustrou, C. Riener und H. Verdure: The poset of Specht ideals for hyperoctahedral groups in Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1593-1619.

• with C. Riener: Reflection groups and cones of sums of squares in Journal of Symbolic Computation 119, 112-144, 2023