School of Mathematics

Rainer Sinn - Publications

Here are my publications on arXiv.org and MathSciNet.
  • Generic Completion Rank and Maximum Likelihood Threshold of Graphs
    with Grigoriy Blekherman
    Preprint (2017)
  • Gram Spectrahedra
    with Lynn Chua, Daniel Plaumann, and Cynthia Vinzant
    Preprint (2016)
  • Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree
    with Grigoriy Blekherman, Daniel Plaumann, and Cynthia Vinzant
    Preprint (2016)
  • Do Sums of Squares Dream of Free Resolutions?
    with Grigoriy Blekherman and Mauricio Velasco
    SIAM Journal on Applied Algebra and Geometry, 1, No. 1, 175-199 (2017)
  • Extreme Rays of the Hankel Spectrahedra for Ternary Forms
    with Grigoriy Blekherman
    Journal of Symbolic Computation, 79, Part 1, 23-42 (2017)
  • Real Rank with Respect to Varieties
    with Grigoriy Blekherman
    Linear Algebra and its Applications, 505, 344-360 (2016)
  • Computing hermitian determinantal representations of hyperbolic curves
    with Daniel Plaumann, David E Speyer, and Cynthia Vinzant
    Our implementation of the algorithm in Mathematica is available here.
    International Journal on Algebra and Computation, 25, No. 8, 1327-1336 (2015).
  • Generic Spectrahedral Shadows
    with Bernd Sturmfels
    SIAM Journal on Optimization, 25, No. 2, 1209-1220 (2015)
  • Algebraic Boundaries of Convex Semi-algebraic Sets
    Research in the Mathematical Sciences, 2, No. 1 (2015)
    Click this link for pictures.
  • Algebraic Boundaries of Convex Semi-algebraic Sets
    PhD thesis (Universität Konstanz, 2014)
  • Algebraic Boundaries of SO(2)-Orbitopes
    Discrete and Computational Geometry, 50, No. 1, 219-235 (2013)
  • Spectrahedra and a Relaxation of Convex, Semialgebraic Sets
    Diploma thesis, Universität Konstanz (2010)
  • A Note on the Convex Hull of Finitely Many Projections of Spectrahedra
    with Tim Netzer

  • last edited 24. March 2017