Publications

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• Efficiently deciding if an ideal is toric after a linear coordinate change

  joint with Thomas Kahle

  arxiv | Code on github

  

• Sums of even powers of polynomials

  joint with Tomasz Kowalczyk

  arxiv

  

• Bounds on Hilbert functions with application to convexity

  arxiv, accepted in Journal of commutative algebra

• Integrating Spectrahedra

  arxiv

  

• Decomposable Context-Specific Models

  joint with Yulia Alexandr and Eliana Duarte

  SIAM Journal on Applied Algebra and Geometry Vol.8, No.2, 363-393, 2024 arxiv | journal

  

• Gram spectrahedra of ternary quartics

  Journal of Symbolic Computation, 116, 263-283, 2023 arxiv | journal

  

• Ideals of spaces of degenerate matrices

  joint with Mateusz Michałek and Alexander Taveira Blomenhofer

  Linear Algebra Appl. 648, 56-69, 2022 arxiv | journal

• Dimensions of faces of Gram spectrahedra

  PhD thesis, Universität Konstanz link