Publications

On nonnegative invariant quartics in type A
Sebastian Debus, Charu Goel, Salma Kuhlmann, Cordian Riener
Connectivity in Symmetric Semi-Algebraic Sets
Cordian Riener, Robin Schabert, Thi Xuan Vu
The wonderful geometry of the Vandermonde map
Jose Acevedo, Grigoriy Blekherman, Sebastian Debus, Cordian Riener
The poset of Specht ideals for hyperoctahedral groups
Sebastian Debus, Philippe Moustrou, Cordian Riener, Hugues Verdure
Symmetries in polynomial optimization
Philippe Moustrou, Cordian Riener, Hugues Verdure
Symmetric SAGE and SONC forms, exactness and quantitative gaps
Philippe Moustrou, Cordian Riener, Theosten Theobald, Hugues Verdure
Reflection groups and cones of sums of squares
Sebastian Debus, Cordian Riener
Polynomial Optimisation, Moments, and Applications
Michal Kočvara, Bernard Mourrain, Cordian Riener
Optimization of trigonometric polynomials with crystallographic symmetry and spectral bounds for set avoiding graphs
Evelyne Hubert, Tobias Metzlaff, Philippe Moustrou, Cordian Riener
Faster real root decision algorithm for symmetric polynomials
George Labahn, Cordian Riener, Mohab Safey El Din, Éric Schost, Thi Xuan Vu
Attitudes towards mathematics, achievement, and drop-out intentions among STEM and Non-STEM students in Norway
Gabriella Óturai, Cordian Riener, Sarah E Martiny
A semidefinite programming hierarchy for covering problems in discrete geometry
Cordian Riener, Jan Rolfes, Frank Vallentin
Equivariant algebraic and semi-algebraic geometry of infinite affine space
Mario Kummer, Cordian Riener
Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions
Cordian Riener, Robin Schabert
Orbit Spaces of Weyl Groups Acting on Compact Tori - A Unified and Explicit Polynomial Description
Evelyne Hubert, Tobias Metzlaff, Cordian Riener
MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties
Gunnar Fløystad, Satoshi Murai, Cordian Riener, Kohji Yanagawa
# P-hardness of matrix immanants on restricted matrices.
Cordian Riener, Istvan Miklos
Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets
Saugata Basu, Cordian Riener
Symmetry reduction in AM/GM-based optimization
Philippe Moustrou, Helen Naumann, Cordian Riener, Thorsten Theobald, Hugues Verdure
Symmetric nonnegative forms and sums of squares
Grigoriy Blekherman, Cordian Riener
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
Philippe Moustrou, Cordian Riener, Hugues Verdure
Return of the plane evolute
Ragni Piene, Cordian Riener, Boris Shapiro
Polynomial opzimization problems invariant by finite reflection groups
Cordian Riener, Sebastian Debus
# P-hardness proofs of matrix immanants evaluated on restricted matrices
Istvan Miklos, Cordian Riener
Reflection groups and cones of sums of squares
Sebastian Debus, Cordian Riener
On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities
Saugata Basu, Cordian Riener
Generalized eigenvalue methods for Gaussian quadrature rules
Grigoriy Blekherman, Mario Kummer, Cordian Riener, Markus Schweighofer, Cynthia Vinzant
Reflection groups, reflection arrangements, and invariant real varieties
Tobias Friedl, Cordian Riener, Raman Sanyal
Real root finding for equivariant semi-algebraic systems
Cordian Riener, Mohab Safey El Din
Optimization approaches to quadrature: new characterizations of Gaussian quadrature on the line and quadrature with few nodes on plane algebraic curves, on the plane and in higher dimensions
Cordian Riener, Markus Schweighofer
On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms
Saugata Basu, Cordian Riener
On irreducible components of real exponential hypersurfaces
Cordian Riener, Nicolai Vorobjov
Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets
Saugata Basu, Cordian Riener
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets
Saugata Basu, Cordian Riener
Symmetric semi-algebraic sets and non-negativity of symmetric polynomials
Cordian Riener
Deciding positivity of multisymmetric polynomials
Paul Görlach, Cordian Riener, Tillmann Weißer
Bounds on the individual Betti numbers of complex varieties, stability and algorithms
Saugata Basu, Cordian Riener
Exploiting symmetries in SDP-relaxations for polynomial optimization
Cordian Riener, Thorsten Theobald, Lina Jansson Andrén, Jean B Lasserre
On the degree and half-degree principle for symmetric polynomials
Cordian Riener
A note on extrema of linear combinations of elementary symmetric functions
Alexander Kovačec, Salma Kuhlmann, Cordian Riener
Symmetries in Semidefinite and Polynomial Optimization: Relaxations, Combinatorics, and the Degree Principle
Cordian Benedikt Riener
Positive Polynome und semidefinite Optimierung
Cordian Riener, Thorsten Theobald
On extreme forms in dimension 8
Cordian Riener