Rainer Sinn

Max Planck Institute for Mathematics in the Sciences — Germany

Computer Science · Physical Sciences

6h-index142citations84works0.52yr avg
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Research Topics

Polynomial and algebraic computation(29), Algebraic Geometry and Number Theory(16), Commutative Algebra and Its Applications(12), Point processes and geometric inequalities(11), Advanced Optimization Algorithms Research(10)

Publications84 total

Stubborn Polynomials
ArXiv.org·2026Open Access
Stubborn Polynomials
arXiv (Cornell University)·2026Open Access
Positive Genus Pairs from Amplituhedra
arXiv (Cornell University)·2026Open Access
Positive Genus Pairs from Amplituhedra
arXiv (Cornell University)·2026Open Access
Positive Genus Pairs from Amplituhedra
Zenodo (CERN European Organization for Nuclear Research)·2026Open Access
Positive Genus Pairs from Amplituhedra
Zenodo (CERN European Organization for Nuclear Research)·2026Open Access
Toric extensions of Pólya's theorem
arXiv (Cornell University)·2025Open Access
Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society·2025Open Access
Pythagoras numbers for ternary forms
Proceedings of the American Mathematical Society·2025
Adjoints and canonical forms of polypols
Documenta Mathematica·2025· 4 citedOpen Access
Adjoints and canonical forms of tree amplituhedra
MATHEMATICA SCANDINAVICA·2024· 4 cited
Spurious local minima in nonconvex sum-of-squares optimization
arXiv (Cornell University)·2024Open Access
Pythagoras Numbers for Ternary Forms
arXiv (Cornell University)·2024Open Access
Nonnegativity certificates on real algebraic surfaces
arXiv (Cornell University)·2024Open Access
Plane quartics and heptagons
arXiv (Cornell University)·2024Open Access
Nonnegative Polynomials and Moment Problems on Algebraic Curves
arXiv (Cornell University)·2024Open Access
Corrigendum to “Tropical Positivity and Determinantal Varieties”
Algebraic Combinatorics·2024· 2 citedOpen Access
Convex hulls of surfaces in fourspace
Collectanea mathematica·2024Open Access
Adjoints and Canonical Forms of Tree Amplituhedra
arXiv (Cornell University)·2024Open Access
Tropical positivity and determinantal varieties
Algebraic Combinatorics·2023· 7 citedOpen Access
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Frequent Co-authors

Grigoriy Blekherman(11), Günter M. Ziegler(9), Daniel Plaumann(6), Cynthia Vinzant(6), Kristian Ranestad(4), Simon Telen(4), Andreas Loos(4), Marie-Charlotte Brandenburg(3), Georg Loho(3), Kathlén Kohn(3), Felix Rydell(3), Andreas Loos(3), Lynn Chua(2), David E Speyer(2), Simone Naldi(2), Ragni Piene(2), Boris Shapiro(2), Miruna‐Ştefana Sorea(2), Sameer Agarwal(2), Andrew Pryhuber(2)