I am interested in the interplay between geometry, topology and group theory, which puts me somewhere in the nexus of geometric group theory, geometric topology, and low-dimensional topology. I am particularly interested in the relationship between mapping class groups, Teichmüller geometry, and flat surfaces.
papers and preprints:
Shear-shape cocycles for measured laminations and ergodic theory of the earthquake flow (with James Farre) In preparation, preprint available upon request.
Framed mapping class groups and the monodromy of strata of Abelian differentials (with Nick Salter) Submitted (2020). (pdf)(arXiv)
Higher spin mapping class groups and strata of Abelian differentials over Teichmüller space (with Nick Salter) Submitted (2019). (pdf)(arXiv)
Volume and determinant densities of hyperbolic rational links. (with Colin Adams, Xinyi Jiang, Alex Kastner, Greg Kehne, Nat Mayer, and Mia Smith) J. Knot Theory Ramifications26 (1), 2017. (arXiv)(journal)