Dipartimento di Matematica "F. Casorati"
Università di Pavia
Via Ferrata 5
Email: leone.slavich [at] gmail.com, leone.slavich [at] unipv.it
I am interested in geometric topology, particularly in the study of hyperbolic geometry and the geometry and topology of hyperbolic manifolds. I tend to focus on high-dimensional objects (especially 4-manifolds), which I like to build and describe using both arithmetic tools and face pairings on hyperbolic polytopes. My aim is constructing original examples and studying their geometric and topological properties.
Papers and preprints
Subspace stabilisers in hyperbolic lattices (with M. Belolipetski, N. Bogachev and A. Kolpakov).
Cusps of hyperbolic 4-manifolds and rational homology spheres (with L. Ferrari and A. Kolpakov).
Proceedings of the London Mathematical Society 123 636-648 (2021). (arXiv)
Convex plumbings in closed hyperbolic 4-manifolds (with B. Martelli and S. Riolo)
Geom. Dedicata 212 (2020) 243-259. (arXiv)
Embedding non-arithmetic hyperbolic manifolds (with A. Kolpakov and S. Riolo)
Mathematical Research Letters. Vol. 29, No. 1 (2022), 247-274 (arXiv)
Compact hyperbolic manifolds without spin structures (with B. Martelli and S. Riolo)
Geometry & Topology 24, Issue 5 (2020) 2647-2674 (arXiv),
New hyperbolic 4-manifolds of low volume (with S. Riolo)
Algebraic & Geometric Topology 19-5, (2019), 2653-2676. (arXiv)
Embedding arithmetic hyperbolic manifolds (with A. Kolpakov and A. W. Reid)
Mathematical Research Letters 25 (2018), 1305-1328. (arXiv)
The complement of the figure-eight knot geometrically bounds
Proceedings of the American Mathematical Society 145, no. 3 (2017), 1275-1285. (arXiv)
Hyperbolic 4-manifolds, colorings and mutations (with A. Kolpakov)
Proceedings of the London Mathematical Society 113, no. 2 (2016), 163-184. (arXiv)
Symmetries of hyperbolic 4-manifolds (with A. Kolpakov)
International Mathematics Research Notices Volume 2016, Issue 9 (2016), 2677-2716. (arXiv)
Some hyperbolic 4-manifolds with low volume and number of cusps
Topology and its Applications 191, (2015), 1-9. (arXiv)
A geometrically bounding hyperbolic link complement
Algebraic & Geometric Topology 15-2, (2015), 1175-1197. (arXiv)
Mathematics and Music
Some time ago I was a visiting student at Ircam in Paris, where I studied some of the mathematical ideas underlying music theory and composition. If you are curious and you know italian, here you can find the thesis that I wrote there.
Here you will find a link to my CV with some more info on myself.
Last modified 20.09.21