Research and Publications

Papers and Preprints

  1. Walter Gubler, Philipp Jell, and Joseph Rabinoff, Dolbeault Cohomology of Graphs and Berkovich Curves (56 pages). Preprint.

  2. Walter Gubler, Philipp Jell, and Joseph Rabinoff, Forms on Berkovich spaces based on harmonic tropicalizations (81 pages). Preprint.

  3. Taylor Dupuy, Eric Katz, Joseph Rabinoff, and David Zureick-Brown, Total p-differentials on schemes over Z/p2, J. Algebra 524 (2019), 110–123 (14 pages).

  4. Tyler Foster, Joseph Rabinoff, Farbod Shokrieh, and Alejandro Soto, Non-Archimedean and tropical theta functions, Math. Ann. 372 (2018), no. 3–4, 891–914 (24 pages).

  5. Taylor Dupuy and Joseph Rabinoff, A rigid analytic proof that the Abel-Jacobi map extends to compact-type models, Canadian Math. Bull. (2024), 1–7 (7 pages).

  6. Eric Katz, Joseph Rabinoff, and David Zureick-Brown, Diophantine and tropical geometry, and uniformity of rational points on curves, Algebraic geometry: Salt Lake City 2015, 231–279, Proc. Sympos. Pure Math., 97.2, Amer. Math. Soc., Providence, RI, 2018 (49 pages).

  7. Walter Gubler, Joseph Rabinoff, and Annette Werner, Tropical skeletons, Ann. Inst. Fourier (Grenoble) 67 (2017), no. 5, 1905–1961 (56 pages).

  8. Eric Katz, Joseph Rabinoff, and David Zureick-Brown, Uniform bounds for the number of rational points on curves of small Mordell–Weil rank, Duke Math. J. 165 (2016), no. 16, 3189–3240 (51 pages).

  9. Walter Gubler, Joseph Rabinoff, and Annette Werner, Skeletons and Tropicalizations, Adv. Math. 294 (2016), 150–215 (65 pages).

  10. Matthew Baker and Joseph Rabinoff, The skeleton of the Jacobian, the Jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves, Int. Math. Res. Not. IMRN 16 (2015), 7436–7472 (36 pages).

  11. Omid Amini, Matthew Baker, Erwan Brugallé, and Joseph Rabinoff, Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta, Res. Math. Sci. 2 (2015), Art. 7 (67 pages).

  12. Omid Amini, Matthew Baker, Erwan Brugallé, and Joseph Rabinoff, Lifting harmonic morphisms II: tropical curves and metrized complexes, Algebra Number Theory 9 (2015), no. 2, 267–315 (48 pages).

  13. Mihran Papikian and Joseph Rabinoff, Optimal quotients of Jacobians with toric reduction and component groups, Canad. J. Math. 68 (2016), no. 6, 1362–1381 (19 pages).

  14. Brian Osserman and Joseph Rabinoff, Lifting non-proper tropical intersections, Tropical and Non-Archimedean Geometry, 15–44, Contemp. Math., 605, Amer. Math. Soc., Providence, RI, 2013 (29 pages).

  15. Matthew Baker, Sam Payne, and Joseph Rabinoff, On the structure of non-archimedean analytic curves, Tropical and Non-Archimedean Geometry, 93–121, Contemp. Math., 605, Amer. Math. Soc., Providence, RI, 2013 (28 pages).

  16. Matthew Baker, Sam Payne, and Joseph Rabinoff, Nonarchimedean geometry, tropicalization, and metrics on curves, Algebr. Geom. 3 (2016), no. 1, 63–105 (42 pages).

  17. Joseph Rabinoff, Tropical analytic geometry, Newton polygons, and tropical intersections, Adv. Math. 229 (2012), 3192–3255, 63 pages.

  18. Joseph Rabinoff, Higher-level canonical subgroups for p-divisible groups, J. Inst. Math. Jussieu 11 (2012), no. 2, 363–419, 56 pages.

  19. Joseph Rabinoff, Hybrid grids and the Homing Robot, Discrete Appl. Math 140 (2004), no. 1–3, 155–168, 13 pages. [From the Duluth REU.]

Expository Articles

  1. The theory of Witt vectors, a write-up of various "well-known" results about Witt vectors.

  2. The Bruhat-Tits building of a p-adic Chevalley group and an application to representation theory, my senior thesis at Harvard University.

Other Work

  1. Appendix to Geometric generalizations of the square sieve, with an application to cyclic covers by Alina Bucur, Alina Carmen Cojocaru, Matilde N. Lalín, and Lillian B. Pierce.