I am interested in Geometry and Topology, and in particular: geometric group theory, geometric structures on manifolds and cell complexes. A list of my papers can be found here or on my arXiv page.

Preprints

1. On signatures of the atoroidal bundles of Kent-Leininger (with J.-F. Lafont and N. Miller) - [ arXiv ]

2. Relative cubulation of relative strict hyperbolization  (with J.-F. Lafont - with an appendix by D. Groves and J. F. Manning) - [ arXiv ]

Papers

3. Infinite circle packings on surfaces with conical singularities (with P. Bowers)
   To appear in Comput. Geom. - [ journal] [ arXiv ]

4. Special cubulation of strict hyperbolization (with J.-F. Lafont)
   Invent. Math. 236 (2024), 925–997 - [ journal ] [ arXiv ] [ 3 slides ] [ NCNGT postcard ] [ CRM talk ]

5. A psychophysically tuned computational model of human primary visual cortex produces geometric optical illusions  (with C. Retsa, A. H. Ariza, N. W. Noordanus, M. M. Murray, and B. Franceschiello)
   Current Research in Neurobiology 7 (2024) - [ journal ] [ bioRxiv ]

6. A graphical description of  the BNS-invariants of Bestvina-Brady groups and the RAAG recognition problem (with Y.-C. Chang)
   To appear in Groups Geom. Dyn. - [ journal ] [ arXiv ]

7. Tame and relatively elliptic CP1-structures on the thrice-punctured sphere (with S. Ballas, P. Bowers, and A. Casella)
   Algebr. Geom. Topol. 24-8 (2024), 4589--4650 - [ journal ] [ arXiv ]

8. Manifolds without real projective or flat conformal structures
   Proc. Amer. Math. Soc. 151 (2023), 3611-3620 - [ journal ] [ arXiv ]

9. Local deformations of branched projective structures: Schiffer variations and the Teichmüller map (with S. Francaviglia)
   Geom. Dedicata 214, 21–48 (2021) - [ journal ] [ arXiv ]

10. Bubbling complex projective structures with quasi-Fuchsian holonomy
    J. Topol. Anal. 13 (2021), no. 3, 843–887 - [ journal] [ arXiv ]

11. Graphical splittings of Artin kernels (with D. Barquinero(*) and K. Ye)
    J. Group Theory 24 (2021), no. 4, 711–735 - [ journal ] [ arXiv ] [ slides ]

12. Extending an example by Colding and Minicozzi (with F. Tripaldi)
    J. Geom. Anal. 30 (2020), no. 1, 1028–1041 - [ journal ] [ arXiv ]

13. Complex projective structures with maximal number of Möbius transformations (with G. Faraco)
    Math. Nachr. 292 (2019), no. 6, 1260–1270 - [ journal ] [ arXiv ]

14. Multi(de)grafting quasi-Fuchsian complex projective structures via bubbles
    Differential Geom. Appl. 64 (2019), 158–173 - [ journal ] [ arXiv ]

(*) denotes an undergraduate coauthor.

Posters

Projective structures, representations, and ODEs on surfaces [ pdf ]

Bubbling complex projective structures [ pdf ]