Leitung

Peter Bürgisser and Antonio Lerario - Probabilistic Schubert Calculus [11]. Journal für die reine und angewandte Mathematik 760 pp. 1–58, 2020.

Bürgisser, Peter and Cucker, Felipe and Tonelli-Cueto, Josué - Computing the Homology of Semialgebraic Sets I: Lax Formulas [12]. Foundations of Computational Mathematics 20(1) pp. 71–118, 2020.

Iréné Briquel and Peter Bürgisser - The real tau-conjecture is true on average [13]. Random Structures & Algortihms , 2020.

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 [14], Preprint 2019.

Peter Bürgisser and Felipe Cucker and Josué Tonelli-Cueto - Computing the Homology of Semialgebraic Sets. II: General formulas [15], Preprint 2019.

Peter Bürgisser and Christian Ikenmeyer and Greta Panova - No occurence obstructions in geometric complexity theory [16]. Journal of the American Mathematical Society 32(1) pp. 163–193, 2019.

Felipe Cucker and Peter Bürgisser and Pierre Lairez - Computing the homology of basic semialgebraic sets in weak exponential time [17]. Journal of the Association for Computing Machinery 66(1) , 2019.

Peter Bürgisser and Alperen A. Ergür and Josué Tonelli-Cueto - On the Number of Real Zeros of Random Fewnomials [18]. SIAM Journal on Applied Algebra and Geometry 3(4) pp. 721–732, 2019.

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 1st and 2nd Order Methods for Moment Maps and Polytopes [19]. 60th Annual IEEE Symposium on Foundations of Computer Science–FOCS 2019 pp. 845–861, 2019.

Peter Bürgisser - The Complexity of Factors of Multivariate Polynomials (Erratum) [20], 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.

Diego Armentano and Carlos Beltrán and Peter Bürgisser and Felipe Cucker and Michael Shub - A stable, polynomial-time algorithm for the eigenpair problem [21]. Journal of the European Mathematical Society (JEMS) 20(6) pp. 1375–1437, 2018.

Peter Bürgisser and Cole Franks and Ankit Garg and Rafael Oliveira and Michael Walter and Avi Wigderson - Efficient algorithms for tensor scaling, quantum marginals and moment polytopes [22]. Proceedings 59th Annual IEEE Symposium on Foundations of Computer Science pp. 883-897, 04/ 2018.

Peter Bürgisser and Ankit Garg and Rafael Oliveira and Michael Walter and Avi Wigderson - Alternating minimization, scaling algorithms, and the null-cone problem from invariant theory [23]. 9th Innovations in Theoretical Computer Science Leibniz International Proceedings in Informatics (LIPIcs) 94 pp. 24:1–24:20, 11/ 2017.

Peter Bürgisser and Felipe Cucker and Elisa Rocha Cardozo - On the condition of the zeros of characteristic polynomials [24]. J. Complexity 42 pp. 72–84, 2017.

Peter Bürgisser - Condition of intersecting a projective variety with a varying linear subspace [25]. SIAM Journal on Applied Algebra and Geometry 1(1) pp. 111–125, 2017.