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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., 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.


Bürgisser, P., Franks, C., Garg, A., Oliveira, R., Walter, M. and Wigderson, A. - Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes, Preprint 2019.


Bürgisser, P., Cucker, F. and Tonelli-Cueto, J. - Computing the Homology of Semialgebraic Sets. II: General formulas, Preprint 2019.


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.


Doğan, M. L., Ergür, A. A., Mundo, J. D. and Tsigaridas, E. - The Multivariate Schwartz-Zippel Lemma, Preprint 2019.


Breiding, P. and Vannieuwenhoven, N. - The condition number of Riemannian approximation problems, Preprint 2019.


Breiding, P., Keneshlou, H. and Lerario, A. - Quantitative singularity theory for random polynomials, Preprint 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.


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