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Joseph D Rabinoff

Associate Professor of Mathematics
Mathematics
243 Physics Building, Box 90320, Durham, NC 27708
120 Science Drive, Durham, NC 27708
Office hours Monday, 10--noon, Gross Hall 105
Wednesday, noon--1pm, Gross Hall 111  

Overview


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 Appointments & Affiliations


Associate Professor of Mathematics · 2019 - Present Mathematics, Trinity College of Arts & Sciences

Recent Publications


Total p-differentials on schemes over Z/p2

Journal Article Journal of Algebra · April 15, 2019 For a scheme X defined over the length 2 p-typical Witt vectors W2(k) of a characteristic p field, we introduce total p-differentials which interpolate between Frobenius-twisted differentials and Buium's p-differentials. They form a sheaf over t ... Full text Cite

Non-Archimedean and tropical theta functions

Journal Article Mathematische Annalen · December 1, 2018 We define a tropicalization procedure for theta functions on abelian varieties over a non-Archimedean field. We show that the tropicalization of a non-Archimedean theta function is a tropical theta function, and that the tropicalization of a non-Archimedea ... Full text Cite

Diophantine and tropical geometry, and uniformity of rational points on curves

Conference Proceedings of Symposia in Pure Mathematics · January 1, 2018 We describe recent work connecting combinatorics and tropical/ non-Archimedean geometry to Diophantine geometry, particularly the uniformity conjectures for rational points on curves and for torsion packets of curves. The method of Chabauty–Coleman lies at ... Full text Cite
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Recent Grants


RTG: Linked via L-functions: training versatile researchers across number theory

Inst. Training Prgm or CMEKey Faculty · Awarded by National Science Foundation · 2023 - 2028

Development and Applications of Non-Archimedean Analytic Geometry and Tropical Geometry

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2019 - 2021

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Education, Training & Certifications


Stanford University · 2009 Ph.D.

External Links


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