## Papers

**Manuscripts (****arXiv****, ****GoogleScholar****)**

**Pluricanonical cycles and tropical covers****.**With R. Cavalieri and H. Markwig.**Gromov-Witten theory via roots and logarithms**. With L. Battistella and N. Nabijou. A**lecture****.****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.

**Publications**

**Gromov-Witten theory and invariants of matroids****.**With J. Usatine. In**Selecta Mathematica****.****Logarithmic Gromov-Witten theory with expansions.****Notes for a talk at ETH**. In**Algebraic Geometry****.****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. See**Forum of Mathematics, Pi****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. See**Geometry & Topology****Jonathan's notes.****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****. ***

**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**

*** indicates local version contains minor corrections or changes since the publication.**

**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**

**Two simple toric geometry cartoons.****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.**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**.