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Journal Publications

Breiding, P., Sturmfels, B. and Timme, S. - 3264 conics in a second. Notices of the American Mathematical Society 67(1) pp. 30–37, 2020.

Breiding, P. - An Algebraic Geometry Perspective on Topological Data Analysis. SIAM News 53(1) pp. 5, 2020.

Bürgisser, P. and Lerario, A. - Probabilistic Schubert Calculus. Journal für die reine und angewandte Mathematik 760 pp. 1–58, 2020.

Bürgisser, P. - Correction To: The Complexity of Factors of Multivariate Polynomials. Foundations of Computational Mathematics , 2020.

Bürgisser, P., Cucker, F. and Tonelli-Cueto, J. - Computing the Homology of Semialgebraic Sets I: Lax Formulas. Foundations of Computational Mathematics 20(1) pp. 71–118, 2020.

Briquel, I. and Bürgisser, P. - The real tau-conjecture is true on average. Random Structures & Algortihms , 2020.

Bürgisser, P., Ikenmeyer, C. and Panova, G. - No occurence obstructions in geometric complexity theory. Journal of the American Mathematical Society 32(1) pp. 163–193, 2019.

Breiding, P. - How many eigenvalues of a random symmetric tensor are real?. Transactions of the American Mathematical Society 372(11) pp. 7857–7887, 2019.

Breiding, P., Kozhasov, K. and Lerario, A. - Random spectrahedra. SIAM Journal on Optimization 29(4) pp. 2608–2624, 2019.

Beltrán, C., Breiding, P. and Vannieuwenhoven, N. - Pencil-based algorithms for tensor rank decomposition are not stable. SIAM Journal on Matrix Analysis and Applications 40(2) pp. 739–773, 2019.

Cucker, F., Bürgisser, P. and Lairez, P. - Computing the homology of basic semialgebraic sets in weak exponential time. Journal of the Association for Computing Machinery 66(1) , 2019.

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

Blömer, J. and Kohn, K. - Voronoi cells of lattices with respect to arbitrary norms. SIAM J. Appl. Algebra Geom. 2(2) pp. 314–338, 2018.

Breiding, P. and Vannieuwenhoven, N. - Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number. Appl. Math. Lett. 78 pp. 42-50, 2018.

Armentano, D., Beltrán, C., Bürgisser, P., Cucker, F. and Shub, M. - A stable, polynomial-time algorithm for the eigenpair problem. Journal of the European Mathematical Society (JEMS) 20(6) pp. 1375–1437, 2018.



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