Contact
JWellsMath [at] ProtonMail [dot] comAbout Me
Born: Yes
Died: TBD
Hobbies: Math, Music,
Pets: Un gato
Favorite Music: Neo-classical Post-progressive Jazz Metal
Favorite Movie Genre: Comedy
Favorite Color: Green
Favorite Quote: "Good night Wesley. Good work. Sleep well. I'll most likely kill you in the morning." - The Princess Bride
Research
If it involves complex hyperbolic geometry in any way, I'm probably interested in it. Specifically, my research is focused around discrete subgroups of complex hyperbolic isometries, and in particular lattices (both arithmetic and non-). I'm interested in finding techniques analogous to "hybridization" (a process produced by Gromov and Piatetski-Shapiro for real hyperbolic lattices) to allow for the construction of new commensurability classes of lattices in PU(n,1).- (with J. Lafont, B. Minemyer, G. Sorcar, M. Stover) High dimensional hyperbolic Coxeter groups that virtually fiber. (In preparation)
- (with M. Cook, K. Pine, B. Robinson) Fisher-Rao distances on the covariance cone. Preprint. October 2020. (arχiv Preprint)
- Hyperbolic groups are finitely presented. Newsletter of the Ramanujan Math Society. 31.1 (June 2020), pp. 9--12. (Expository). (Preprint)
- Non-arithmetic hybrid lattices in PU(2,1). Geom. Dedicata 208 (2020), pp 1-11. (arχiv Preprint) (errata)
- (with J. Paupert) Hybrid lattices and thin subgroups of Picard modular groups. Topology and its Appl. 269 (2020). pp 106918, 15. (arχiv Preprint)
- Hybrid subgroups of complex hyperbolic isometries. PhD Thesis. May 2019. (PDF)