I’m Leonardo Ferrari, an assistant professor of mathematics working at the Polish Academy of Sciences in Warsaw. My main research interests are in the interactions between hyperbolic geometry, combinatorics, and algebraic topology. 

I have been particularly interested in the problems of totally geodesic embeddings and geometric boundaries of hyperbolic manifolds. But other research interests include isometries of hyperbolic manifolds, the geometry of hyperbolic rational homology spheres, the geometry and topology of small covers and colorings of right-angled polytopes, and the uniformization problem for complex algebraic curves.

Publications and pre-prints:

1. Geometric Bordisms of the Accola-Maclachlan, Kulkarni and Wiman Type II Surfaces (arxiv), submitted to publication

2. Dodecahedral L-spaces and hyperbolic 4-manifolds (with L. Battista and D. Santoro), C.A.G. 32: 8 (2024),  2095-2134

3.  Infinitely Many Arithmetic Hyperbolic Rational Homology 3-spheres that Bound Geometrically (with A. Kolpakov and A. Reid) , Trans A.M.S. 376 (2023), 1979–1997

4.  Coloured Symmetries of Rational Homology 3-spheres that Cover Right-Angled Polytopes (arxiv), pre-print

5. Cusps of Hyperbolic 4-Manifolds and Rational Homology Spheres (with A. Kolpakov and L. Slavich), Proc. L.M.S. 123 (2021), 636–648

Here's a link to my CV with more detailed information on my education, experience and academical activities.