Here is my research organized by subjects
Tropical morphisms
- Catalan-many tropical morphisms to trees; Part II: A space and a count (In preparation)
- Combinatorics of higher dimensional tropical covers (In preparation)
- On the gonality of metric graphs
Notices of the AMS, May 2021, Pages 687 - 695
(with Jan Draisma) - Catalan-many tropical morphisms to trees; Part I: Constructions
Journal of Symbolic Computation, Volume 104, May–June 2021, Pages 580-629
(with Jan Draisma)
Classical constructions transported to tropical geometry
- A short note on Cayley-Salmon equations
published Le Matematiche, Vol 75 No 2 (2020), Pages 559-574
(with Marvin Hahn and Sara Lamboglia )
Questions with combinatorial solutions
- One-quasihomomorphisms from the integers into symmetric matrices
(with Tim Seynnaeve, Nafie Tairi) - Group structures on families of subsets of a group
Pi Mu Epsilon Journal, Vol. 14, No. 5 (Fall 2016), pp. 323-326
(with Mario Gómez, Sergio López-Permouth, Fernando Mazariegos and Rigoberto Zelada)
Theses
- Gonality of metric graphs and Catalan-many tropical morphisms to trees [2022, phd thesis]
- Chip Firing, Riemann-Roch, and Brill-Noether Theory for Graphs [2016, master thesis]