Manuscripts (arXiv, GoogleScholar)

• Virtual genus one curve counting on hypersurfaces. With L. Battistella and N. Nabijou. In preparation.
• Logarithmic Gromov-Witten theory with expansions.
• Rational curves in the logarithmic multiplicative group. With J. Wise
• Moduli of stable maps in genus one & logarithmic geometry II. With K. Santos-Parker & J. Wise.
• Curve counting on toric surfaces: tropical geometry & the Fock space. With R. Cavalieri, P. Johnson, & H. Markwig.
• Brill-Noether theory for curves of a fixed gonality. With D. Jensen. See also Sam Payne's notes.

Publications

• Moduli of stable maps in genus one & logarithmic geometry I. With K. Santos-Parker & J. Wise. Geometry & Topology.
• Topology of tropical moduli of weighted stable curves. With A. Cerbu, S. Marcus, L. Peilen, & A. Salmon. Advances in Geometry.
• Motivic Hilbert zeta functions of curves are rational. With D. Bejleri & R. Vakil. Journal of the Institute of Mathematics, Jussieu.
• Incidence geometry and universality in the tropical plane. With M. Brandt, M. Jones, & C. Lee. Journal of Combinatorial Theory, Series A.
• Logarithmic Picard groups, chip firing, and the combinatorial rank. With T. Foster, M. Talpo, & M. Ulirsch. In Mathematische Zeitschrift.
• Skeletons of stable maps II: superabundant geometries. In Research in the Mathematical Sciences.
• A note on Brill-Noether existence for graphs of low genus. With S. Atanasov. In Michigan Mathematical Journal.
• A graphical interface for the Gromov-Witten theory of curves. With R. Cavalieri, P. Johnson, & H. Markwig. In Algebraic Geometry: Salt Lake City 2015.
• Tropical Hurwitz numbers. With H. Markwig. Appendix to A First Course in Hurwitz theory by Cavalieri and Miles.
• Enumerative geometry of elliptic curves on toric surfaces. With Y. Len. In Israel Journal of Mathematics.
• Degenerations of toric varieties over valuation rings. With T. Foster. In Bulletin of the London Mathematical Society
• Skeletons of stable maps I: rational curves in toric varieties. In Journal of the London Mathematical Society
• Superabundant curves and the Artin fan. In International Mathematics Research Notices.
• Hahn analytification and connectivity of higher rank tropical varieties. With T. Foster. In Manuscripta Mathematica.
• Toric graph associahedra and compactifications of M0,n. With R. Ferreira da Rosa & D. Jensen. In Journal of Algebraic Combinatorics
• Realization of groups with pairing as Jacobians of finite graphs. With L. Gaudet, D. Jensen, N. Wawrykow, & T. Weisman. In Annals of Combinatorics.
• Tropical compactification and the Gromov-Witten theory of P1. With R. Cavalieri & H. Markwig. In Selecta Mathematica.
• Moduli spaces of rational weighted stable curves and tropical geometry. With R. Cavalieri, S. Hampe, & H. Markwig. In Forum of Mathematics (Sigma)
• Tropicalizing the space of admissible covers. With R. Cavalieri & H. Markwig. In Mathematische Annalen.
• Brill-Noether theory of maximally symmetric graphs. With T. Leake. In European Journal of Combinatorics.
• Gromov-Witten theory of P1xP1xP1. With D. Karp. In Journal of Pure and Applied Algebra.
• Toric Symmetry of CP3. With D. Karp, P. Riggins, & U. Whitcher. In Advances in Theoretical and Mathematical Physics.

Theses

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

Unpublished Notes

• 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.
• Toric Severi degrees are logarithmic Gromov-Witten invariants. Sam asked me if the logarithmic GW invariants of toric surfaces were enumerative.
• The well-spacedness equation. Proves Speyer's realizability theorem tropical curves via deformation theory. It is self-contained but substantially subsumed by this.