Leitung

Peter Bürgisser and Yinan Li and Harold Nieuwboer and Michael Walter - Interior-point methods for unconstrained geometric programming and scaling problems [11], Preprint 2020.

Peter Bürgisser and Antonio Lerario - Probabilistic Schubert Calculus [12]. Journal für die reine und angewandte Mathematik 760 pp. 1–58, 2020.

Peter Bürgisser and Felipe Cucker and Pierre Lairez - Rigid continuation paths II. Structured polynomial systems [13], Preprint 2020.

Peter Bürgisser - Correction To: The Complexity of Factors of Multivariate Polynomials [14]. Foundations of Computational Mathematics , 2020.

Bürgisser, Peter and Cucker, Felipe and Tonelli-Cueto, Josué - Computing the Homology of Semialgebraic Sets I: Lax Formulas [15]. Foundations of Computational Mathematics 20(1) pp. 71–118, 2020.

Iréné Briquel and Peter Bürgisser - The real tau-conjecture is true on average [16]. 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 [17], Preprint 2019.

Peter Bürgisser and Felipe Cucker and Josué Tonelli-Cueto - Computing the Homology of Semialgebraic Sets. II: General formulas [18], Preprint 2019.

Peter Bürgisser and Christian Ikenmeyer and Greta Panova - No occurence obstructions in geometric complexity theory [19]. 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 [20]. 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 [21]. 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 [22]. 60th Annual IEEE Symposium on Foundations of Computer Science–FOCS 2019 pp. 845–861, 2019.

Diego Armentano and Carlos Beltrán and Peter Bürgisser and Felipe Cucker and Michael Shub - A stable, polynomial-time algorithm for the eigenpair problem [23]. 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 [24]. 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 [25]. 9th Innovations in Theoretical Computer Science Leibniz International Proceedings in Informatics (LIPIcs) 94 pp. 24:1–24:20, 11/ 2017.