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
Moduli of stable maps in genus one and logarithmic geometry I
– Algebra & Number Theory
(2019)
13,
1765
(doi: 10.2140/ant.2019.13.1765)
Rational curves in the logarithmic multiplicative group
– Proceedings of the American Mathematical Society
(2019)
148,
103
(doi: 10.1090/proc/14749)
Realization of Groups with Pairing as Jacobians of Finite Graphs
– Annals of Combinatorics
(2018)
22,
781
(doi: 10.1007/s00026-018-0406-0)
MOTIVIC HILBERT ZETA FUNCTIONS OF CURVES ARE RATIONAL
– Journal of the Institute of Mathematics of Jussieu
(2018)
19,
947
(doi: 10.1017/s1474748018000269)
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
– The Michigan Mathematical Journal
(2018)
67,
175
(doi: 10.1307/mmj/1519095622)
Skeletons of stable maps II: superabundant geometries
– Research in the Mathematical Sciences
(2017)
4,
11
(doi: 10.1186/s40687-017-0101-5)
Skeletons of stable maps I: rational curves in toric varieties
– Journal of the London Mathematical Society
(2017)
95,
804
(doi: 10.1112/jlms.12039)
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