Research & Publications

Manuscripts (arXiv, GoogleScholar)



  1. Skeletons, degenerations, & Gromov-Witten theory. 2016 Doctoral thesis, Yale University.
  2. Gromov-Witten theory of blowups of toric threefolds 2012 Undergraduate thesis, Harvey Mudd College.

Unpublished Notes

  1. Analytification and tropicalization over Z. I establish Sam's inverse limit over the integers. I never found an application, but take a look at this for inspiration.
  2. Toric Severi degrees are logarithmic Gromov-Witten invariants. Sam asked me if the logarithmic GW invariants of toric surfaces were enumerative.
  3. The well-spacedness equation. Proves Speyer's realizability theorem tropical curves via deformation theory. It is self-contained but substantially subsumed by this.