| Statistics on Hilbert's sixteenth problem A Lerario, E Lundberg Int. Math. Res. Notices (2014) doi: 10.1093/imrn/rnu069 First published …, 2012 | 55* | 2012 |
| On the number of connected components of random algebraic hypersurfaces YV Fyodorov, A Lerario, E Lundberg Journal of Geometry and Physics 95, 1-20, 2015 | 49 | 2015 |
| Probabilistic schubert calculus P Bürgisser, A Lerario Journal für die reine und angewandte Mathematik (Crelles Journal) 2020 (760 …, 2020 | 38 | 2020 |
| Remarks on Wilmshurst's theorem SY Lee, A Lerario, E Lundberg Indiana University Mathematics Journal, to appear, 2013 | 38 | 2013 |
| Systems of quadratic inequalities A Agrachev, A Lerario Proceedings of the London Mathematical Society 105 (3), 622-660, 2012 | 34 | 2012 |
| Random fields and the enumerative geometry of lines on real and complex hypersurfaces S Basu, A Lerario, E Lundberg, C Peterson Mathematische Annalen 374, 1773-1810, 2019 | 23 | 2019 |
| On the zeros of random harmonic polynomials: the truncated model A Lerario, E Lundberg Journal of Mathematical Analysis and Applications 438 (2), 1041-1054, 2016 | 22 | 2016 |
| Gap probabilities and Betti numbers of a random intersection of quadrics A Lerario, E Lundberg Discrete & Computational Geometry 55, 462-496, 2016 | 21 | 2016 |
| Experiments on the zeros of harmonic polynomials using certified counting JD Hauenstein, A Lerario, E Lundberg, D Mehta Experimental Mathematics, to appear, 2014 | 21 | 2014 |
| On the geometry of the set of symmetric matrices with repeated eigenvalues P Breiding, K Kozhasov, A Lerario Arnold Mathematical Journal 4 (3), 423-443, 2018 | 20 | 2018 |
| Geodesics and admissible-path spaces in Carnot groups AA Agrachev, A Gentile, A Lerario Geometry & Topology, to appear, 2013 | 20* | 2013 |
| Random matrices and the average topology of the intersection of two quadrics A Lerario Proceedings of the American Mathematical Society 143 (8), 3239-3251, 2015 | 17* | 2015 |
| Convex Pencils of Real Quadratic Forms A Lerario Discrete and computational Geometry 48 (4), 1025-1047, 2012 | 17 | 2012 |
| Complexity of intersections of real quadrics and topology of symmetric determinantal varieties A Lerario Journal of the European Mathematical Society (JEMS), to appear, 2012 | 16* | 2012 |
| Low-degree approximation of random polynomials DN Diatta, A Lerario Foundations of Computational Mathematics 22 (1), 77-97, 2022 | 15 | 2022 |
| Homotopy properties of horizontal path spaces and a theorem of Serre in subriemannian geometry F Boarotto, A Lerario Communications in Analysis and Geometry 25 (2), 269-301, 2017 | 13 | 2017 |
| On the geometry of random lemniscates A Lerario, E Lundberg Proceedings of the London Mathematical Society 113 (5), 649-673, 2016 | 13 | 2016 |
| Quantitative singularity theory for random polynomials P Breiding, H Keneshlou, A Lerario International Mathematics Research Notices 2022 (8), 5685-5719, 2022 | 11 | 2022 |
| Maximal and typical topology of real polynomial singularities A Lerario, M Stecconi arXiv preprint arXiv:1906.04444, 2019 | 11 | 2019 |
| Differential topology of Gaussian random fields A Lerario, M Stecconi arXiv preprint arXiv:1902.03805, 2019 | 11 | 2019 |
Andrei AgrachevProfessor of Mathematics, SISSA, TriesteVerified email at sissa.it
