[lerario]

Assistant Professor, Sissa

**Email:** *lerario AT sissa.it*

- A. Lerario - L. Rizzi (Accepted Paper:
*Journal of symplectic geometry*)

How many geodesics join two points on a contact sub-Riemannian manifold? (2015) - A. Lerario - A. Mondino (Submitted Paper)

Homotopy properties of horizontal loop spaces and applications to closed sub-riemannian geodesics (2015) - A. Lerario (
*Proceedings of the American Mathematical Society*)

Random matrices and the average topology of the intersection of two quadrics (2015) - A. Lerario - S. Y. Lee - E. Lundberg (
*Indiana University Mathematics Journal*)

Remarks on Wilmshurstâ€™s Theorem (2015) - A. Lerario - A. Agrachev - A. Gentile (
*Geometry & Topology*)

Geodesics and horizontal path spaces in Carnot groups (2015) - A. Lerario - E. Lundberg - D. Mehta - J. Hauenstein (
*Experimental Mathematics*)

Experiments on the zeroes of harmonic polynomials using certified counting (2015) - A. Lerario - Y. Fyodorov - E. Lundberg (
*Journal of Geometry and Physics*)

On the number of connected components of random algebraic hypersurfaces (2015) - A. Lerario - E. Lundberg (
*Discrete and Computational Geometry*)

Gap probabilities and Betti numbers of a random intersection of quadrics (2015) - A. Lerario (Submitted Paper)

Intrinisic volumes of sets of singular matrices and applications to real algebraic geometry (2015) - A. Lerario - F. Boarotto (Submitted Paper)

Homotopy properties of horizontal path spaces and a theorem of Serre in subriemannian geometry (2015) - A. Lerario - E. Lundberg (Submitted Paper)

On the zeroes of random harmonic polynomials: the truncated model (2015) - A. Lerario (
*Advances in Geometry*)

The total Betti number of the intersection of three real quadrics (2014) - A. Lerario - D. Barilari (
*Geometric Control and Sub-Riemannian Geometry*)

Geometry of Maslov Cycles (2014) - A. Lerario - E. Lundberg (
*International Mathematics Research Notices*)

Statistics on Hilbertâ€™s Sixteenth Problem (2014) - A. Lerario (
*Proc. Gokova Geometry and Topology*)

Plenty of Morse functions by peturbing with sums of squares (2014) - A. Lerario (Accepted Paper:
*Journal of the European Mathematical Society*)

Complexity of intersection of real quadrics and topology of symmetric determinantal varieties (2014) - A. Lerario - A. Agrachev (
*Proc. London Math. Society*)

Systems of Quadratic Inequalities (2012) - A. Lerario (
*Discrete and Computational Geometry*)

Convex pencils of real quadratic forms (2012) - A. Lerario (Preprint)

A real viewpoint on the intersection of complex quadrics and its topology preprint on arXiv (2012) - A. Lerario (Phd Thesis:
*Sissa Digital Library*)

Homology invariants of quadratic maps (2011)