Bounding the equivariant Betti numbers and computing the generalized Euler-Poincaré characteristic of symmetric semi-algebraic sets. - Saugata Basu; Cordian Riener (CoRR, 2013)

Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization. - Cordian Riener; Thorsten Theobald; Lina Jansson Andrén; Jean B. Lasserre (Math. Oper. Res., 2013)

On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities. - Saugata Basu; Cordian Riener (CoRR, 2015)

Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets. - Saugata Basu; Cordian Riener (CoRR, 2016)

On the equivariant Betti numbers of symmetric semi-algebraic sets: vanishing, bounds and algorithms. - Saugata Basu; Cordian Riener (CoRR, 2016)

Deciding positivity of multisymmetric polynomials. - Paul Görlach; Cordian Riener; Tillmann Weißer (J. Symb. Comput., 2016)

Real Root Finding for Equivariant Semi-algebraic Systems. - Cordian Riener; Mohab Safey El Din (ISSAC, 2018)

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 (J. Complex., 2018)

#P-hardness proofs of matrix immanants evaluated on restricted matrices. - István Miklós; Cordian Riener (CoRR, 2021)

Symmetric Non-Negative Forms and Sums of Squares. - Grigoriy Blekherman; Cordian Riener (Discret. Comput. Geom., 2021)

Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations. - Philippe Moustrou; Cordian Riener; Hugues Verdure (J. Symb. Comput., 2021)

T-orbit spaces of multiplicative actions and applications. - Evelyne Hubert; Tobias Metzlaff; Philippe Moustrou; Cordian Riener (ACM Commun. Comput. Algebra, 2022)

Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions. - Cordian Riener; Robin Schabert (CoRR, 2022)

Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets. - Saugata Basu; Cordian Riener (Found. Comput. Math., 2022)

Symmetry Reduction in AM/GM-Based Optimization. - Philippe Moustrou; Helen Naumann; Cordian Riener; Thorsten Theobald; Hugues Verdure (SIAM J. Optim., 2022)

Faster real root decision algorithm for symmetric polynomials. - George Labahn; Cordian Riener; Mohab Safey El Din; Éric Schost; Thi Xuan Vu (ISSAC, 2023)

Reflection groups and cones of sums of squares. - Sebastian Debus; Cordian Riener (J. Symb. Comput., 2023)

Connectivity in Symmetric Semi-Algebraic Sets. - Cordian Riener; Robin Schabert; Thi Xuan Vu (ISSAC, 2024)

Orbit Spaces of Weyl Groups Acting on Compact Tori: A Unified and Explicit Polynomial Description. - Evelyne Hubert; Tobias Metzlaff; Cordian Riener (SIAM J. Appl. Algebra Geom., 2024)

On nonnegative invariant quartics in type A. - Sebastian Debus; Charu Goel; Salma Kuhlmann; Cordian Riener (J. Symb. Comput., 2025)

Symmetric SAGE and SONC forms, exactness and quantitative gaps. - Philippe Moustrou; Cordian Riener; Thorsten Theobald; Hugues Verdure (J. Symb. Comput., 2025)

Deciding Connectivity in Symmetric Semi-Algebraic Sets. - Cordian Riener; Robin Schabert; Thi Xuan Vu (CoRR, 2025)

Constructively describing orbit spaces of finite groups by few inequalities. - Philippe Moustrou; Cordian Riener; Robin Schabert (J. Symb. Comput., 2026)