Stefano Riolo

tenure-track researcher in Bologna, working in geometric topology

email: stefano,.,riolo,@unibo.it

institutional web page here

            

published or accepted papers:

• A small cusped hyperbolic 4-manifold
  Bulletin of the London Mathematical Society journal arXiv


• The signature of cusped hyperbolic 4-manifolds, with Sasha Kolpakov and Steve Tschantz
  International Mathematics Research Notices 2023:9 (2023) 7961-7975 journal 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

            

the animations (taken from here) represent the six regular 4-polytopes

            

last update: September '23