Publications

(2022). The poset of Specht ideals for hyperoctahedral groups. Arxiv.

DOI

(2022). Equivariant algebraic and semi-algebraic geometry of infinite affine space. arXiv:2203.11921.

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(2022). Polynomial description for the T-Orbit Spaces of Multiplicative Actions. arxiv:2203.13152.

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(2021). Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets. Foundations of Computational Mathematics.

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(2021). Symmetry reduction in AM/GM-based optimization. SIAM J. Optimization.

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(2021). Symmetric nonnegative forms and sums of squares. Discrete & Computational Geometry.

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(2021). Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations. Journal of Symbolic Computation.

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(2021). Return of the plane evolute. arXiv:2110.11691.

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(2021). # P-hardness proofs of matrix immanants evaluated on restricted matrices. arXiv preprint arXiv:2103.04934.

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(2020). Reflection groups and cones of sums of squares. arXiv preprint arXiv:2011.09997.

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(2020). Generalized eigenvalue methods for Gaussian quadrature rules. Annales Henri Lebesgue.

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(2018). Reflection groups, reflection arrangements, and invariant real varieties. Proceedings of the AMS.

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(2018). Real root finding for equivariant semi-algebraic systems. International Symposium on Symbolic and Algebraic Computation.

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(2017). On irreducible components of real exponential hypersurfaces. Arnold Mathematical Journal.

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(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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(2017). Bounding the equivariant Betti numbers of symmetric semi-algebraic sets. Advances in Mathematics.

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(2016). Symmetric semi-algebraic sets and non-negativity of symmetric polynomials. Journal of Pure and Applied Algebra.

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(2016). Deciding positivity of multisymmetric polynomials. Journal of Symbolic Computation.

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(2013). Exploiting symmetries in SDP-relaxations for polynomial optimization. Mathematics of Operations Research.

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(2012). On the degree and half-degree principle for symmetric polynomials. Journal of Pure and Applied Algebra.

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(2012). A note on extrema of linear combinations of elementary symmetric functions. Linear and Multilinear Algebra.

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(2008). Positive Polynome und semidefinite Optimierung. Jahresbericht der DMV.

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(2006). On extreme forms in dimension 8. Journal de théorie des nombres de Bordeaux.

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