Published papers



  1. 2017 (with M. Yakimov) Recovering the topology of surfaces from cluster algebras. (To appear in Mathematische Zeitschrift)
  2. 2017 (with M. Mills) Maximal green sequences for cluster algebras associated to the orientable surfaces of genus n with arbitrary punctures. (To appear in Journal of Algebraic Combinatorics)
  3. 2016 Maximal green sequences for cluster algebras associated to orientable surfaces with boundary. Arnold Math Journal. 2016.

Preprints




  1. (with J. Matherne) A cancellation-free antipode formula for the restriction-contraction matroid Hopf algebra.

In progress



  1. (with M. Shapiro) Cluster structures for traintracks from surfaces.

  2. (with J. Machacek) Connections between Bruhat orders and labeled chip firings.