Logarithmic Gromov-Witten theory and double ramification cycles. With A. Urundolil Kumaran.
Counting curves on P1xP1: computation & polynomiality properties. With D. Corey and H. Markwig.
Pluricanonical cycles and tropical covers. With R. Cavalieri and H. Markwig.
A case study of intersections on blowups of the moduli of curves. With S. Molcho. A generalization is available.
Logarithmic Donaldson-Thomas theory. With D. Maulik.
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.
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.
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.
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
Brill-Noether theory of maximally symmetric graphs. With T. Leake. In European Journal of Combinatorics.
* indicates local version contains minor corrections or changes since the publication.
Skeletons, degenerations, & Gromov-Witten theory. 2016 Doctoral thesis, Yale University.
Gromov-Witten theory of blowups of toric threefolds 2012 Undergraduate thesis, Harvey Mudd College.
Two simple toric geometry cartoons. I noticed two toric pictures I like, one about the twisted cubic and another about the adjunction formula.
Logarithmic Gromov-Witten cycles from toric varieties. I explain how to generalize results with Molcho in our 2021 paper on toric contact cycles.
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.
Toric Severi degrees are logarithmic Gromov-Witten invariants. Sam asked me if the logarithmic GW invariants of toric surfaces were enumerative.