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Bürgisser, P., Cucker, F. and Tonelli-Cueto, J. - Computing the Homology of Semialgebraic Sets. II: General formulas [12], Preprint 2019.


Bürgisser, P., Ikenmeyer, C. and Panova, G. - No occurence obstructions in geometric complexity theory [13]. 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 [14], Preprint 2019.


Breiding, P. and Vannieuwenhoven, N. - The condition number of Riemannian approximation problems [15], Preprint 2019.


Breiding, P., Keneshlou, H. and Lerario, A. - Quantitative singularity theory for random polynomials [16], Preprint 2019.


Breiding, P. - How many eigenvalues of a random symmetric tensor are real? [17]. Transactions of the American Mathematical Society 372(11) pp. 7857–7887, 2019.


Breiding, P., Kozhasov, K. and Lerario, A. - Random spectrahedra [18]. 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 [19]. 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 [20]. 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 [21]. 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 [22]. 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 [23], Preprint 2018.


Blömer, J. and Kohn, K. - Voronoi cells of lattices with respect to arbitrary norms [24]. 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 [25]. 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 [26]. Journal of the European Mathematical Society (JEMS) 20(6) pp. 1375–1437, 2018.


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