Daniel Plaumann - Publications

Listing on arXiv.org

Toric completions and bounded functions on real algebraic varieties
with Claus Scheiderer
Submitted (2015)
Computing hermitian determinantal representations of hyperbolic curves
with Rainer Sinn, David E Speyer, and Cynthia Vinzant
To appear in the International Journal of Algebra and Computation (2015)
A relative Grace theorem for complex polynomials
with Mihai Putinar
Mathematical Proceedings of the Cambridge Philosophical Society. Appeared online (2016)
Hyperbolic polynomials, interlacers, and sums of squares
with Mario Kummer and Cynthia Vinzant
Mathematical Programming 153, no.1, Ser. B, 223-245 (2015).
Determinantal representations of hyperbolic curves via polynomial homotopy continuation
with Anton Leykin
Submitted (2014)
Supplementary material
Determinantal representations of hyperbolic plane curves: An elementary approach
with Cynthia Vinzant
Journal of Symbolic Computation 57, No. 1, 48-60 (2013)
Determinantal Representations and the Hermite Matrix
with Tim Netzer and Andreas Thom
Michigan Mathematical Journal 62, 407-420 (2013)
The ring of bounded polynomials on a semi-algebraic set
with Claus Scheiderer
Transactions of the American Mathematical Society 364, No. 9, 4663-4682 (2012).
Positivity of continuous piecewise polynomials
Bulletin of the London Mathematical Society, 44, No. 4, 749-757 (2012).
Computing linear matrix representations of Helton-Vinnikov curves
with Bernd Sturmfels and Cynthia Vinzant
Volume in honor of Bill Helton, Mathematical Methods in Systems, Optimization and Control, (eds. Harry Dym, Mauricio de Oliveira, Mihai Putinar), Operator Theory: Advances and Applications", Birkhäuser, Basel, 2011
Supplementary material
Quartic curves and their bitangents
with Bernd Sturmfels and Cynthia Vinzant
Journal of Symbolic Computation 46, No. 6, 712-733 (2011)
Supplementary material
Exposed faces of semidefinitely representable sets
with Tim Netzer and Markus Schweighofer
SIAM Journal on Optimization 20, No. 4, 1944-1955 (2010)
Sums of squares on reducible real curves
Mathematische Zeitschrift 265, No. 4, 777-797 (2009)
Bounded polynomials, sums of squares and the moment problem
PhD thesis (Universität Konstanz)
Konstanzer Online-Publikationssystem (2008)

last edited 28 February 2016