Joseph D Rabinoff | Scholars@Duke

Joseph D Rabinoff
Associate Professor of Mathematics

My research interests lie in number theory and algebraic geometry. More specifically, I do a lot of work on non-Archimedean analytic spaces and their applications to algebraic and tropical geometry.

Current Research Interests

I am interested in the intrinsic geometry of non-Archimedean analytic spaces and tropical varieties, and their applications to classical algebraic geometry and number theory.

Office Hours

Monday, 10--noon, Gross Hall 105
Wednesday, noon--1pm, Gross Hall 111

Current Appointments & Affiliations

Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2019

Contact Information

120 Science Drive, Durham, NC 27708
243 Physics Building, Box 90320, Durham, NC 27708
jdr@math.duke.edu (919) 660-6271
Home page

Background
Education, Training, & Certifications
- Ph.D., Stanford University 2009
Recognition
Awards & Honors
Expertise
Subject Headings
Research
Selected Grants
- Development and Applications of Non-Archimedean Analytic Geometry and Tropical Geometry awarded by National Science Foundation 2019 - 2021
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Dupuy, T., E. Katz, J. Rabinoff, and D. Zureick-Brown. “Total p-differentials on schemes over Z/p².” Journal of Algebra 524 (April 15, 2019): 110–23. https://doi.org/10.1016/j.jalgebra.2019.01.003.
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  - Foster, T., J. Rabinoff, F. Shokrieh, and A. Soto. “Non-Archimedean and tropical theta functions.” Mathematische Annalen 372, no. 3–4 (December 1, 2018): 891–914. https://doi.org/10.1007/s00208-018-1646-3.
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  - Gubler, W., J. Rabinoff, and A. Werner. “Tropical skeletons.” Annales De L’Institut Fourier 67, no. 5 (January 1, 2017): 1905–61. https://doi.org/10.5802/aif.3125.
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  - Papikian, M., and J. Rabinoff. “Optimal quotients of Jacobians with toric reduction and component groups.” Canadian Journal of Mathematics 68, no. 6 (December 1, 2016): 1362–81. https://doi.org/10.4153/CJM-2016-009-9.
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  - Gubler, W., J. Rabinoff, and A. Werner. “Skeletons and tropicalizations.” Advances in Mathematics 294 (May 14, 2016): 150–215. https://doi.org/10.1016/j.aim.2016.02.022.
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  - Baker, M., S. Payne, and J. Rabinoff. “Nonarchimedean geometry, tropicalization, and metrics on curves.” Algebraic Geometry 3, no. 1 (January 1, 2016): 63–105. https://doi.org/10.14231/AG-2016-004.
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  - Katz, E., J. Rabinoff, and D. Zureick-Brown. “Uniform bounds for the number of rational points on curves of small mordell-weil rank.” Duke Mathematical Journal 165, no. 16 (January 1, 2016): 3189–3240. https://doi.org/10.1215/00127094-3673558.
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  - Amini, O., M. Baker, E. Brugallé, and J. Rabinoff. “Lifting harmonic morphisms i: Metrized complexes and berkovich skeleta.” Research in Mathematical Sciences 2, no. 1 (December 1, 2015). https://doi.org/10.1186/s40687-014-0019-0.
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  - Amini, O., M. Baker, E. Brugallé, and J. Rabinoff. “Lifting harmonic morphisms ii: Tropical curves and metrized complexes.” Algebra and Number Theory 9, no. 2 (January 1, 2015): 267–315. https://doi.org/10.2140/ant.2015.9.267.
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  - Baker, M., and J. Rabinoff. “The skeleton of the jacobian, the jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves.” International Mathematics Research Notices 2015, no. 16 (January 1, 2015): 7436–72. https://doi.org/10.1093/imrn/rnu168.
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  - Rabinoff, J. “Higher-level canonical subgroups for p-divisible groups.” Journal of the Institute of Mathematics of Jussieu 11, no. 2 (April 1, 2012): 363–419. https://doi.org/10.1017/S1474748011000132.
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  - Rabinoff, J. “Tropical analytic geometry, Newton polygons, and tropical intersections.” Advances in Mathematics 229, no. 6 (April 1, 2012): 3192–3255. https://doi.org/10.1016/j.aim.2012.02.003.
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  - Rabinoff, J. “Hybrid grids and the Homing Robot.” Discrete Applied Mathematics 140, no. 1–3 (May 15, 2004): 155–68. https://doi.org/10.1016/j.dam.2003.04.001.
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- Digital Publications
  - Rabinoff, Joseph, and Dan Margalit. “Interactive Linear Algebra,” n.d.
    Link to Item
- Conference Papers
  - Katz, E., J. Rabinoff, and D. Zureick-Brown. “Diophantine and tropical geometry, and uniformity of rational points on curves.” In Proceedings of Symposia in Pure Mathematics, 97:231–79, 2018. https://doi.org/10.1090/pspum/097.2/01706.
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Teaching & Mentoring
Recent Courses
- MATH 218D-1: Matrices and Vector Spaces 2023
- MATH 391: Independent Study 2023
- MATH 718D-1: Matrices and Vector Spaces 2023
- MATH 790-90: Minicourse in Advanced Topics 2023
- MATH 218D-1: Matrices and Vector Spaces 2022
- MATH 790-90: Minicourse in Advanced Topics 2022
- MATH 218D-1: Matrices and Vector Spaces 2021
- MATH 493: Research Independent Study 2021
Teaching Activities
- I am the de facto coordinator for Math 218D-1 (linear algebra for stats/CS/other non-engineers). This is a service course with 100--120 students in two lecture sections.
Scholarly, Clinical, & Service Activities
Presentations & Appearances
Service to the Profession

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Education, Training, & Certifications

Awards & Honors

Subject Headings

Selected Grants

Selected Publications

Academic Articles

Digital Publications

Conference Papers

Recent Courses

Teaching Activities

Presentations & Appearances

Service to the Profession