Manuscripts (arXiv, GoogleScholar)

• Gromov-Witten theory and invariants of matroids. With J. Usatine.

• A case study of intersections on blowups of the moduli of curves. With S. Molcho. See also these notes for a talk.

• Logarithmic Donaldson-Thomas theory. With D. Maulik.

• A note on cycles of curves in a product of pairs.

• Logarithmic Gromov-Witten theory with expansions. The Oberwolfach Report and my notes for a talk at ETH give an introduction.

Publications

• Gromov-Witten theory with maximal contacts. With N. Nabijou. See also these notes for a talk. In Forum of Mathematics, Sigma.

• Curve counting in genus one: elliptic singularities & relative geometry. With L. Battistella & N. Nabijou. In Algebraic Geometry.

• Brill-Noether theory for curves of a fixed gonality. With D. Jensen. In Forum of Mathematics, Pi. See Sam's notes for an introduction.

• Curve counting on toric surfaces: tropical geometry & the Fock space. With R. Cavalieri, P. Johnson, & H. Markwig. In Mathematical Proceedings of the Cambridge Philosophical Society.

• Rational curves in the logarithmic multiplicative group. With J. Wise. In Proceedings of the American Mathematical Society.

• Moduli of stable maps in genus one & logarithmic geometry II. With K. Santos-Parker & J. Wise. In Algebra & Number Theory.

• Moduli of stable maps in genus one & logarithmic geometry I. With K. Santos-Parker & J. Wise. In Geometry & Topology. See Jonathan's notes. for an introduction.

• Topology of tropical moduli of weighted stable curves. With A. Cerbu, S. Marcus, L. Peilen, & A. Salmon. In Advances in Geometry.

• Motivic Hilbert zeta functions of curves are rational. With D. Bejleri & R. Vakil. In Journal of the Institute of Mathematics, Jussieu.

• Incidence geometry and universality in the tropical plane. With M. Brandt, M. Jones, & C. Lee. In 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. Contains corrections to the published version.

Superabundant curves and the Artin fan. In International Mathematics Research Notices. Contains corrections to the published version.

• 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.

Notes

• There and back again: a tale of expansions in Gromov-Witten theory. My Oberwolfach report for the 2019 workshop on logarithmic enumerative geometry and mirror symmetry.

• 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.