Preprints

Peter Bürgisser and Cole Franks and Ankit Garg and Rafael Oliveira and Michael Walter and Avi Wigderson - Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes, Preprint 2019.

Peter Bürgisser and Felipe Cucker and Josué Tonelli-Cueto - Computing the Homology of Semialgebraic Sets. II: General formulas, Preprint 2019.

M. Levent Doğan and Alperen A. Ergür and Jake D. Mundo and Elias Tsigaridas - The Multivariate Schwartz-Zippel Lemma, Preprint 2019.

Paul Breiding and Nick Vannieuwenhoven - The condition number of Riemannian approximation problems, Preprint 2019.

Paul Breiding and Hanieh Keneshlou and Antonio Lerario - Quantitative singularity theory for random polynomials, Preprint 2019.

Peter Bürgisser - The Complexity of Factors of Multivariate Polynomials (Erratum), Preprint 2018. This is an updated version of a paper published in J. FoCM in 2004. Here we have corrected an error in the statement and proof of Theorem 5.7.

Kathlén Kohn and Boris Shapiro and Bernd Sturmfels - Moment Varieties of Measures on Polytopes, Preprint 2018.

Iréné Briquel and Peter Bürgisser - The real tau-conjecture is true on average, Preprint 2018. Accepted for publication in Random Structures and Algorithms.

Carlos Améndola, Kathlén Kohn, Sara Lamboglia, Diane Maclagan, Ben Smith, Jeff Sommars, Paolo Tripoli, Magdalena Zajaczkowska - Computing Tropical Varieties in Macaulay2, Preprint 2017.

Paul Breiding and Nick Vannieuwenhoven - A Riemannian Trust Region Method for the Canonical Tensor Rank Approximation Problem, Preprint 2017.

Kathlén Kohn and Ernst Ulrich Deuker - The Complex of Non-Chromatic Scales, Preprint 2017.

Paul Breiding - The average number of critical rank-one-approximations to a symmetric tensor, Preprint 2017.

Kathlén Kohn - Coisotropic Hypersurfaces in the Grassmannian, Preprint 2016.

Paul Breiding - An adaptive linear homotopy method to approximate eigenpairs of homogeneous polynomial systems, Preprint 2015.

Peter Bürgisser and Felipe Cucker and Elisa Rocha Cardozo - Characteristic polynomials of typical matrices are ill-conditioned, Preprint 2015.