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.

Publications

• 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

Preprints

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

• with A. Kretschmer: Symmetric Ideals and Invariant Hilbert Schemes

• with C. Riener and R. Schabert: Stable and Hurwitz slices, a degree principle and a generalized Grace-Walsh-Szegő theorem

• with J. Acevedo, G. Blekherman and C. Riener: The wonderful geometry of the Vandermonde map