Preprints

- Tropical curves, graph homology, and top weight cohomology of M
_{g}. (with M. Chan and S. Galatius). Submitted. - On the strong maximal rank conjecture in genus 22 and 23. (with D. Jensen).

Publications

- A tropical motivic Fubini theorem with applications to Donaldson-Thomas theory. (with J. Nicaise). To appear in Duke Math. J.
- Tropical refined curve counting via motivic integration. (with J. Nicaise and F. Schroeter). Geom. Topol. 22 (2018), no. 6, 3175–3234.
- Diagonal splittings of toric varieties and unimodularity. (with J. Chou, M. Hering, R. Tramel, and B. Whitney. Proc. Amer. Math. Soc. 146 (2018), no. 5, 1911–1920.
- Combinatorial and inductive methods for the tropical maximal rank conjecture. (with D. Jensen). J. Combin. Theory Ser. A. 152 (2017), 138–158.
- Tropical independence II: The maximal rank conjecture for quadrics. (with D. Jensen). Algebra Number Theory 10 (2016), no. 8, 1601–1640.
- Nonarchimedean geometry, tropicalization, and metrics on curves. (with M. Baker and J. Rabinoff). Algebraic Geometry 3 (2016), no. 1, 63–105. (See also arXiv:1104.0320v2.)
- Cremona symmetry in Gromov-Witten theory. (with A. Gholampour and D. Karp). Pro Mathematica, 29 (2016), no. 57, 129–149.
- The tropicalization of the moduli space of curves. (with D. Abramovich and L. Caporaso). Ann. Sci. Éc. Norm. Supér. 48 (2015), no. 4, 765–809.
- Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry. Bull. Amer. Math. Soc. 52 (2015), no. 2, 223–247.
- On a Cohen-Lenstra heuristic for Jacobians of random graphs. (with J. Clancy, N. Kaplan, T. Leake, and M. Wood). J. Algebraic Combin. 42 (2015), no. 3, 701–723.
- Operational K-theory. (with D. Anderson). Doc. Math. 20 (2015), 357–399.
- Lifting divisors on a generic chain of loops. (with D. Cartwright and D. Jensen). Canad. Math. Bull. 58 (2015), no. 2, 250–262.
- A note on Tutte polynomials, Jacobians, and two variable zeta functions of graphs. (with J. Clancy and T. Leake). Exp. Math. 24 (2015), no. 1, 1–7.
- Artificial intelligence for Bidding Hex. (with E. Robeva). Games of No Chance 4, MSRI Publications 63 (2015), 207–214.
- Tropical independence I: Shapes of divisors and a proof of the Gieseker-Petri Theorem. (with D. Jensen). Algebra Number Theory 8 (2014), no. 9, 2043–2066.
- Limits of tropicalizations. (with T. Foster and P. Gross). Israel J. Math. 201 (2014), no. 2, 835–846.
- On the structure of non-archimedean analytic curves. (with M. Baker and J. Rabinoff). Contemp. Math. 605 (2013), 93–125.
- Boundary complexes and weight filtrations. Mich. Math. J. 62 (2013), no. 2, 293–322.
- Lifting tropical intersections. (with B. Osserman). Doc. Math. 18 (2013), 121–175.
- Connectivity of tropicalizations. (with D. Cartwright). Math. Res. Lett. 19 (2012), no. 5, 1089–1095.
- A note Brill-Noether theory and rank determining sets for metric graphs. (with C. M. Lim and N. Potashnik). Int. Math. Res. Not. IMRN (2012), no. 23, 5484–5504.
- Cox rings and pseudoeffective cones of projectivized toric vector bundles. (with J. González, M. Hering, and H. Süβ). Algebra Number Theory 6 (2012), no. 5, 995–1017.
- A tropical proof of the Brill-Noether Theorem. (with F. Cools, J. Draisma, and E. Robeva). Adv. Math. 230 (2012), no. 2, 759–776.
- Realization spaces for tropical fans. (with E. Katz). Combinatorial aspects of commutative algebra and algebraic geometry, Abel Symp., 6, Springer 2011, 73–88.
- Discrete bidding games. (with M. Develin). Electronic J. Combin. 17 (2010), no. 1, Research Paper 85, 40 pp.
- Positivity for toric vector bundles. (with M. Hering and M. Mustaţă). Ann. Inst. Fourier 60 (2010), no. 2, 607–640.
- Cayley decompositions of lattice polytopes and upper bounds for h
^{∗}-polynomials. (with C. Haase and B. Nill). J. Reine Angew. Math. 637 (2009), 207–216 - Analytification is the limit of all tropicalizations. Math. Res. Lett. 16 (2009), no. 3, 543–556.
- Lattice polytopes cut out by root systems and the Koszul property. Adv. Math. 220 (2009), no. 3, 926–935.
- Frobenius splittings of toric varieties. Algebra Number Theory 3 (2009), no. 1, 107–119.
- Fibers of tropicalization. Math. Z. 262 (2009), no. 2, 301–311.
- Toric vector bundles, branched covers of fans, and the resolution property. J. Algebraic Geom. 18 (2009), no. 1, 1–36.
- Bidding chess. (with J. Bhatt). Math. Intelligencer 31 (2009), 37–39.
- Adelic amoebas disjoint from open halfspaces. J. Reine Angew. Math. 625 (2008), 115–123.
- Piecewise polynomials, Minkowski weights, and localization on toric varieties. (with E. Katz). Algebra Number Theory 2 (2008), no. 2, 135–155.
- Moduli of toric vector bundles. Compositio Math. 144 (2008), no. 5, 1199–1213.
- Ehrhart series and lattice triangulations. Discr. Comput. Geom. 40 (2008), no. 3, 365–376.
- Stable base loci, movable curves, and small modifications, for toric varieties. Math. Z. 253 (2006), no. 2, 421–431.
- Equivariant Chow cohomology of toric varieties. Math. Res. Lett. 13 (2006), no. 1, 29–41.
- Asymptotic cohomological functions of toric divisors (with M. Hering and A. Küronya). Adv. Math. 207 (2006), no. 2, 634–645.
- Fujita’s very ampleness conjecture for singular toric varieties. Tohoku Math. J. 58 (2006), no. 3, 447–459.
- Ehrhart polynomials and stringy Betti numbers. (with M. Mustaţă). Math. Ann. 333 (2005), no. 4, 787–795.
- Smooth complete toric threefolds with no nontrivial nef line bundles.(with O. Fujino). Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 10, 174–179.
- Alternating graphs. (with C. Adams, R. Dorman, K. Foley, and J. Kravis). J. Combin. Theory Ser. B 77 (1999), no. 1, 96–120.

- Correction to Fibers of tropicalization. Math. Z. 272 (2012), no. 3-4, 1403–1406.

Volume Edited

- Nonarchimedean and Tropical Geometry (with M. Baker). Simons Symposia, Springer 2016.