I'm interested in discrete groups that act on hyperbolic space, and hyperbolic reflection groups in particular.
Publications:
- (with J. Paupert) Presentations for cusped arithmetic hyperbolic lattices preprint. arxiv.
For accompanying pictures and animations, visit Julien's pictures page. - (with D. Allcock and I. Gal) The Conway-Sloane calculus for 2-adic lattices preprint. arxiv
- The classification of Rank 3 Reflective Hyperbolic Lattices over Z[\sqrt{2}] Mat. Proc. Camb. Phil. Soc. 12 (2016), 1-37. arxiv, doi tdl (phd thesis)
- Reflection groups of the quadratic form -px_0^2+x_1^2+...+x_n^2 Pub. Mat. 59 (2015), 353 - 372. arxiv, doi