Publications
2020
- Generalized eigenvalue methods for Gaussian quadrature rules
G Blekherman, M Kummer, C Riener, M Schweighofer, C Vinzant, Annales Henri Lebesgue - Symmetric ideals, Specht polynomials, and solutions to symmetric systems of equations
P. Moustrou, C. Riener, H. Verdure (Journal of Symbolic Computation)
2019
- Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets
S. Basu, C. Riener (Revision) - Symmetric nonnegative forms and sums of squares
G. Blekherman, C. Riener, Discrete & Computational Geometry
2018
- Optimization approaches to quadrature
C. Riener, M. Schweighofer, Journal of Complexity - Reflection groups, reflection arrangements, and invariant real varieties
T. Friedl, C. Riener, S. Sanyal, Proceedings of AMS - On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities
S. Basu, C. Riener, International Mathematics Research Notices - On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms
S. Basu, C. Riener, Selecta Mathematica