Preprints

Bürgisser, Peter and Cucker, Felipe and Tonelli-Cueto, Josué - Computing the Homology of Semialgebraic Sets I: Lax Formulas, Preprint 2018.

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.

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.

Felipe Cucker and Peter Bürgisser and Pierre Lairez - Computing the homology of basic semialgebraic sets in weak exponential time, Preprint 2017. To appear in J. ACM.

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

Peter Bürgisser and Antonio Lerario - Probabilistic Schubert Calculus, Preprint 2016. Accepted for J. reine angew. Math.

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.

Peter Bürgisser - Condition of intersecting a projective variety with a varying linear subspace, Preprint 2015. To appear in SIAGA.

Pierre Lairez - A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time, Preprint 2015. To appear in Foundations of computational mathematics (2016), 23 pages.

Peter Bürgisser and Felipe Cucker - A stable, polynomial-time algorithm for the eigenpair problem, Preprint 2014. This preprint was merged in 2015 with arXiv:1410.2179 into arXiv:1505.03290.