Research Interests: Algebraic geometry, in particular, enumerative geometry and Gromov-Witten theory, moduli spaces, tropical geometry, logarithmic structures and the study of degenerations, classical geometry of curves.
Publications
Incidence geometry and universality in the tropical plane
– Journal of Combinatorial Theory, Series A
(2018)
159,
26
(doi: 10.1016/j.jcta.2018.05.002)
Logarithmic Picard groups, chip firing, and the combinatorial rank
– Mathematische Zeitschrift
(2018)
291,
313
(doi: 10.1007/s00209-018-2085-2)
Enumerative geometry of elliptic curves on toric surfaces
– Israel Journal of Mathematics
(2018)
226,
351
(doi: 10.1007/s11856-018-1698-9)
A Note on Brill–Noether Existence for Graphs of Low Genus
– Michigan Mathematical Journal
(2018)
67,
175
(doi: 10.1307/mmj/1519095622)
Skeletons of stable maps I: rational curves in toric varieties
– Journal of the London Mathematical Society
(2017)
95,
804
(doi: 10.1112/jlms.12039)
Superabundant Curves and the Artin Fan
– International Mathematics Research Notices
(2016)
2017,
rnw057
(doi: 10.1093/imrn/rnw057)
Tropicalizing the space of admissible covers
– Mathematische Annalen
(2015)
364,
1275
(doi: 10.1007/s00208-015-1250-8)
Logarithmic tautological rings of the moduli spaces of curves
– Advances in Mathematics
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