Cordian Riener
Cordian Riener
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2022
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Mario Kummer
,
Cordian Riener
(2022).
Equivariant algebraic and semi-algebraic geometry of infinite affine space
. arXiv:2203.11921.
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Cordian Riener
,
Robin Schabert
(2022).
Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions
. arXiv:2203.08727.
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Evelyne Hubert
,
Tobias Metzlaff
,
Cordian Riener
(2022).
Polynomial description for the T-Orbit Spaces of Multiplicative Actions
.
arxiv:2203.13152
.
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Saugata Basu
,
Cordian Riener
(2021).
Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets
.
Foundations of Computational Mathematics
.
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Philippe Moustrou
,
Helen Naumann
,
Cordian Riener
,
Thorsten Theobald
,
Hugues Verdure
(2021).
Symmetry reduction in AM/GM-based optimization
.
SIAM J. Optimization
.
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Grigoriy Blekherman
,
Cordian Riener
(2021).
Symmetric nonnegative forms and sums of squares
.
Discrete & Computational Geometry
.
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Philippe Moustrou
,
Cordian Riener
,
Hugues Verdure
(2021).
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
.
Journal of Symbolic Computation
.
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Ragni Piene
,
Cordian Riener
,
Boris Shapiro
(2021).
Return of the plane evolute
.
arXiv:2110.11691
.
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Istvan Miklos
,
Cordian Riener
(2021).
# P-hardness proofs of matrix immanants evaluated on restricted matrices
.
arXiv preprint arXiv:2103.04934
.
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Sebastian Debus
,
Cordian Riener
(2020).
Reflection groups and cones of sums of squares
.
arXiv preprint arXiv:2011.09997
.
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Saugata Basu
,
Cordian Riener
(2020).
On the isotypic decomposition of cohomology modules of symmetric semi-algebraic sets: polynomial bounds on multiplicities
.
International Mathematics Research Notices
.
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Grigoriy Blekherman
,
Mario Kummer
,
Cordian Riener
,
Markus Schweighofer
,
Cynthia Vinzant
(2020).
Generalized eigenvalue methods for Gaussian quadrature rules
.
Annales Henri Lebesgue
.
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Tobias Friedl
,
Cordian Riener
,
Raman Sanyal
(2018).
Reflection groups, reflection arrangements, and invariant real varieties
.
Proceedings of the AMS
.
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Cordian Riener
,
Mohab Safey El Din
(2018).
Real root finding for equivariant semi-algebraic systems
.
International Symposium on Symbolic and Algebraic Computation
.
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Cordian Riener
,
Markus Schweighofer
(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
.
Journal of Complexity
.
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Saugata Basu
,
Cordian Riener
(2018).
On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms
.
Selecta Mathematica
.
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Cordian Riener
,
Nicolai Vorobjov
(2017).
On irreducible components of real exponential hypersurfaces
.
Arnold Mathematical Journal
.
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Saugata Basu
,
Cordian Riener
(2017).
Efficient algorithms for computing the Euler-Poincaré characteristic of symmetric semi-algebraic sets
.
Ordered Algebraic Structures and Related Topics, Contemporary Mathematics
.
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Saugata Basu
,
Cordian Riener
(2017).
Bounding the equivariant Betti numbers of symmetric semi-algebraic sets
.
Advances in Mathematics
.
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DOI
Cordian Riener
(2016).
Symmetric semi-algebraic sets and non-negativity of symmetric polynomials
.
Journal of Pure and Applied Algebra
.
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Paul Görlach
,
Cordian Riener
,
Tillmann Weißer
(2016).
Deciding positivity of multisymmetric polynomials
.
Journal of Symbolic Computation
.
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Cordian Riener
,
Thorsten Theobald
,
Lina Jansson Andrén
,
Jean B Lasserre
(2013).
Exploiting symmetries in SDP-relaxations for polynomial optimization
.
Mathematics of Operations Research
.
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Cordian Riener
(2012).
On the degree and half-degree principle for symmetric polynomials
.
Journal of Pure and Applied Algebra
.
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Alexander Kovačec
,
Salma Kuhlmann
,
Cordian Riener
(2012).
A note on extrema of linear combinations of elementary symmetric functions
.
Linear and Multilinear Algebra
.
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Cordian Benedikt Riener
(2011).
Symmetries in Semidefinite and Polynomial Optimization: Relaxations, Combinatorics, and the Degree Principle
.
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Cordian Riener
,
Thorsten Theobald
(2008).
Positive Polynome und semidefinite Optimierung
.
Jahresbericht der DMV
.
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Cordian Riener
(2006).
On extreme forms in dimension 8
.
Journal de théorie des nombres de Bordeaux
.
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