Logarithmic enumerative geometry for curves and sheaves. With D. Maulik.
Counting curves on P1xP1: computation & polynomiality properties. With D. Corey and H. Markwig.
Logarithmic Donaldson-Thomas theory. With D. Maulik.
Published and accepted papers
Logarithmic Gromov-Witten theory and double ramification cycles. With A. Urundolil Kumaran. In Journal für die reine und angewandte Mathematik.
Tropical and logarithmic methods in enumerative geometry. Book from Oberwolfach Seminar Series in 2021. With R. Cavalieri and H. Markwig.
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 AMS.
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.
The Hilbert scheme in logarithmic geometry, after Kennedy-Hunt. My Oberwolfach report for the 2023 workshop on recent trends in algebraic geometry.
Tropical curve counting and double ramification cycles. My Oberwolfach report for the 2023 workshop on tropical geometry.
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.