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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.


Bürgisser, P., Franks, C., Garg, A., Oliveira, R., Walter, M. and Wigderson, A. - Towards a Theory of Non-Commutative Optimization: Geodesic 1st and 2nd Order Methods for Moment Maps and Polytopes. 60th Annual IEEE Symposium on Foundations of Computer Science–FOCS 2019 pp. 845–861, 2019.


Kohn, K., Shapiro, B. and Sturmfels, B. - Moment Varieties of Measures on Polytopes, Preprint 2018.


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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