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| Nicaise J, Payne S. (2019) A tropical motivic Fubini theorem with applications to Donaldson–Thomas theory Duke Mathematical Journal. 168: 1843-1886 |
| Nicaise J, Payne S, Schroeter F. (2018) Tropical refined curve counting via motivic integration Geometry & Topology. 22: 3175-3234 |
| Jensen D, Payne S. (2016) Tropical independence, II: The maximal rank conjecture for quadrics Algebra & Number Theory. 10: 1601-1640 |
| Abramovich D, Caporaso L, Payne S. (2015) The tropicalization of the moduli space of curves Annales Scientifiques De L'Ecole Normale Superieure. 48: 765-809 |
| Payne S. (2015) Topology of nonarchimedean analytic spaces and relations to complex algebraic geometry Bulletin of the American Mathematical Society. 52: 223-247 |
| Clancy J, Leake T, Payne S. (2015) A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs Experimental Mathematics. 24: 1-7 |
| Clancy J, Kaplan N, Leake T, et al. (2015) On a Cohen–Lenstra heuristic for Jacobians of random graphs Journal of Algebraic Combinatorics |
| Jensen D, Payne S. (2014) Tropical independence I: Shapes of divisors and a proof of the Gieseker–Petri theorem Algebra & Number Theory. 8: 2043-2066 |
| González J, Hering M, Payne S, et al. (2012) Cox rings and pseudoeffective cones of projectivized toric vector bundles Algebra and Number Theory. 6: 995-1017 |
| Lim CM, Payne S, Potashnik N. (2012) A Note on Brill–Noether Theory and Rank-Determining Sets for Metric Graphs International Mathematics Research Notices. 2012: 5484-5504 |