This is the homepage of S. Gillеs. I am a doctoral candidate in the mathematics department.

S Gillеs

Contact

Research

Recently, a lot of progress has been made in effectively computing interesting properties of hyperbolic 3-manifolds. I am trying to use this progress to find relations between hyperbolic 3-manifolds and other objects, specifically cluster algebras. My current project is to expand Thurston's gluing equations to detect representations π₁(M) → G for arbitrary Lie groups G.

Software

I have also written some software. Much of it is extremely specific to my own use (this list itself is also for my own use), but someone may find it useful someday.