Lorenzo Ruffoni
Assistant Professor
Department of Mathematics and Statistics
Background
Lorenzo Ruffoni is interested in geometry and topology, particularly geometric group theory, geometric structures on manifolds and cell complexes.
Select Publications
- "A graphical description of the BNS-invariants of Bestvina-Brady groups and the RAAG recognition problem" (with Y.C. Chang),Groups, Geometry, and Dynamics (to appear)
- "Relative cubulation of relative strict hyperbolization" (with J.F. Lafont, with an appendix by D. Groves and J.F. Manning), Journal of the London Mathematical Society, 111 (2025), no. 4
- "Special cubulation of strict hyperbolization" (with J.F. Lafont), Inventiones Mathematicae, 236 (2024), 925–997
- "Tame and relatively elliptic CP1-structures on the thrice-punctured sphere" (with S. Ballas, P. Bowers, and A. Casella), Algebraic and Geometric Topology, 24-8 (2024), 4589-4650
- "Complex projective structures with maximal number of Möbius transformations" (with G. Faraco), Mathematische Nachrichten, 292 (2019), no. 6, 1260–1270
Education
PhD in Mathematics, University of Bologna (Italy), 2017
Research Interests
- Geometric Group Theory
- Geometric Structures on Manifolds and Cell Complexes
- Geometry and Topology
- Hyperbolic Geometry
- Riemann Surfaces
Teaching Interests
- Algebraic Topology
- Complex Analysis
- Differential Geometry
- General Topology
- Group Theory
Awards
- Postdoctoral Undergraduate Research Mentor Award, Florida State University, 2020