A. Lerario:
Homology invariants of quadratic maps
Sissa Digital Library (Phd Thesis) 2011
A. Agrachev, A. Lerario:
Systems of Quadratic Inequalities
Proc. London Math. Society 2012
A. Lerario:
Convex pencils of real quadratic forms
Discrete and Computational Geometry 2012
A. Lerario:
A real viewpoint on the intersection of complex quadrics and its topology preprint on arXiv
(Preprint) 2012
A. Lerario:
The total Betti number of the intersection of three real quadrics
Advances in Geometry 2014
D. Barilari, A. Lerario:
Geometry of Maslov Cycles
Geometric Control and Sub-Riemannian Geometry Vol. Springer INdAM , 2014
A. Lerario, E. Lundberg:
Statistics on Hilberts Sixteenth Problem
International Mathematics Research Notices 2014
A. Lerario:
Plenty of Morse functions by peturbing with sums of squares
Proc. Gokova Geometry and Topology 2014
A. Lerario:
Complexity of intersection of real quadrics and topology of symmetric determinantal varieties
Journal of the European Mathematical Society (Accepted Paper) 2014
A. Lerario:
Random matrices and the average topology of the intersection of two quadrics
Proceedings of the American Mathematical Society 2015
S. Y. Lee, A. Lerario, E. Lundberg:
Remarks on Wilmshursts Theorem
Indiana University Mathematics Journal 2015
A. Agrachev, A. Gentile, A. Lerario:
Geodesics and horizontal path spaces in Carnot groups
Geometry & Topology 2015
J. Hauenstein, A. Lerario, E. Lundberg, D. Mehta:
Experiments on the zeroes of harmonic polynomials using certified counting
Experimental Mathematics 2015
Y. Fyodorov, A. Lerario, E. Lundberg:
On the number of connected components of random algebraic hypersurfaces
Journal of Geometry and Physics 2015
A. Lerario, E. Lundberg:
Gap probabilities and Betti numbers of a random intersection of quadrics
Discrete and Computational Geometry 2015
A. Lerario:
Intrinisic volumes of sets of singular matrices and applications to real algebraic geometry
(Submitted Paper) 2015
F. Boarotto, A. Lerario:
Homotopy properties of horizontal path spaces and a theorem of Serre in subriemannian geometry
(Submitted Paper) 2015
A. Lerario, E. Lundberg:
On the zeroes of random harmonic polynomials: the truncated model
(Submitted Paper) 2015
A. Lerario, A. Mondino:
Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics
Transactions of the American Math Society, Series B. (Accepted Paper) 2015
A. Lerario, L. Rizzi:
How many geodesics join two points on a contact sub-Riemannian manifold?
Journal of symplectic geometry Vol. Volume 15, N. 1, p. 247 305, 2017
D. Barilari, I. Beschastnyi, A. Lerario:
Volume of small balls and sub-Riemannian curvature in 3D contact manifolds
Journal of Symplectic Geometry Vol. 18, N. 2, p. 355-384, 2020
A. Lerario, F. Tripaldi:
Multicomplexes on Carnot groups and their associated spectral sequence
(preprint) 2022