Joe Rabinoff's Homepage

Personal Information

picture.jpg

I am an assistant professor in mathematics at the Georgia Institute of Technology. My research is in arithmetic and algebraic geometry, in particular in the interplay between non-Archimedean analytic spaces, tropical geometry, and classical algebraic geometry. I am supported by NSF DMS-1601842.

Address:

School of Mathematics
Georgia Institute of Technology
686 Cherry Street
Atlanta, GA 30332-0160

Email: addr.png

Office: Skiles 221

Curriculum Vitæ: CV

Research and Publications

Papers and Preprints

  1. Walter Gubler, Joseph Rabinoff, and Annette Werner, Tropical skeletons, 42 pages. Submitted.
  2. Eric Katz, Joseph Rabinoff, and David Zureick-Brown, Uniform bounds for the number of rational points on curves of small Mordell–Weil rank, 40 pages. To appear in the Duke Mathematical Journal.
  3. Walter Gubler, Joseph Rabinoff, and Annette Werner, Skeletons and Tropicalizations, 46 pages. To appear in Advances in Mathematics.
  4. 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.
  5. 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.
  6. 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.
  7. Mihran Papikian and Joseph Rabinoff, Optimal quotients of Jacobians with toric reduction and component groups, 19 pages. To appear in the Canadian Journal of Mathematics.
  8. 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.
  9. 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.
  10. Matthew Baker, Sam Payne, and Joseph Rabinoff, Nonarchimedean geometry, tropicalization, and metrics on curves, 37 pages. To appear in Algebraic Geometry (Foundation Compositio Mathematica).
  11. Joseph Rabinoff, Tropical analytic geometry, Newton polygons, and tropical intersections, Adv. Math. 229 (2012), 3192–3255, 63 pages.
  12. Joseph Rabinoff, Higher-level canonical subgroups for p-divisible groups, J. Inst. Math. Jussieu 11 (2012), no. 2, 363–419, 56 pages.
  13. 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.

Teaching

Current

  • Math 4107, Abstract Algebra I, Spring 2016.

Previous

Please see my CV for a full list of my teaching experience.

Non-math

Horology

  • My revised notes on H.R. Playtner's 1910 paper, An Analysis of the Lever Escapement.