# 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