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. Infinite circle packings on surfaces with conical singularities (with P. Bowers) - [ arXiv ]

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

3. 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) - [ bioRxiv ]

Papers

4. Special cubulation of strict hyperbolization (with J.-F. Lafont)
   To appear in Invent. Math. - [ journal ] [ arXiv ] [ 3 slides ] [ NCNGT postcard ] [ CRM talk ]

5. 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. - [ arXiv ]

6. Tame and relatively elliptic CP1-structures on the thrice-punctured sphere (with S. Ballas, P. Bowers, and A. Casella)
   To appear in Algebr. Geom. Topol. - [ arXiv ]

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

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

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

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

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

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

13. 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 ]