Stefano Riolo

researcher in Bologna, working in low-dimensional geometry and topology

news: three days of geometry, topology, and geometric group theory in Bologna
March 22-23, 2023 ~~> Manifolds and groups in Bologna
March 24, 2023 ~~> Non-positive curvature in manifolds and groups

published or accepted papers:

• The signature of cusped hyperbolic 4-manifolds, with Sasha Kolpakov and Steve Tschantz
  to appear in International Mathematics Research Notices ~~> arXiv


• Character varieties of a transitioning Coxeter 4-orbifold, with Andrea Seppi
  Groups, Geometry, and Dynamics 16:3 (2022), 779-842 ~~> journal, arXiv


• A small closed convex projective 4-manifold via Dehn filling, with Gye-Seon Lee and Ludovic Marquis
  Publicacions Matemàtiques 66:1 (2022), 369-403 ~~> journal, arXiv


• Geometric transition from hyperbolic to anti-de Sitter structures in dimension four, with Andrea Seppi
  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze XXIII:1 (2022), 115-176 ~~> journal, arXiv


• Embedding non-arithmetic hyperbolic manifolds, with Sasha Kolpakov and Leone Slavich
  Mathematical Research Letters 29:1 (2022), 247-274 ~~> journal, arXiv


• Convex plumbings in closed hyperbolic 4-manifolds, with Bruno Martelli and Leone Slavich
  Geometriae Dedicata 212:1 (2021), 243-259 ~~> journal, arXiv


• Compact hyperbolic manifolds without spin structures, with Bruno Martelli and Leone Slavich
  Geometry & Topology 24:5 (2020), 2647-2674 ~~> journal, arXiv


• Many cusped hyperbolic 3-manifolds do not bound geometrically, with Sasha Kolpakov and Alan Reid
  Proceedings of the American Mathematical Society 148:5 (2020), 2223-2243 ~~> journal, arXiv


• Counting cusped hyperbolic 3-manifolds that bound geometrically, with Sasha Kolpakov
  Transactions of the American Mathematical Society 373:1 (2020), 229-247 ~~> journal, arXiv


• New hyperbolic 4-manifolds of low volume, with Leone Slavich
  Algebraic & Geometric Topology 19:5 (2019), 2653-2676 ~~> journal, arXiv


• Hyperbolic Dehn filling in dimension four, with Bruno Martelli
  Geometry & Topology 22:3 (2018), 1647-1716 ~~> journal, arXiv


• Spines of minimal length, with Bruno Martelli, Matteo Novaga, and Alessandra Pluda
  Annali della Scuola Normale Superiore di Pisa, Classe di Scienze XVII:3 (2017), 1067-1090 ~~> journal, arXiv

phd thesis:

• Cone-manifolds and hyperbolic surgeries, advisor Bruno Martelli
  University of Pisa (2017) ~~> link
  

papers in preparation or work in progress: (tentative titles)

• Dehn filling all the cusps of a hyperbolic 4-manifold, with Gye-Seon Lee, Ludovic Marquis, and Tomoshige Yukita


• Filling and drilling complex hyperbolic surfaces, with Pietro Sabatino

Last update: January 2023