Sa'ar Zehavi

I am an arithmetic geometer whose research lies at the interface of number theory, geometry, and topology, with a particular emphasis on Chabauty–Kim theory.

I am currently a postdoctoral fellow in the Department of Mathematics and Computer Science at the Weizmann Institute of Science, working under the supervision of Mark Shusterman. Before that, I was a postdoctoral researcher at Ben Gurion University. I obtained my PhD in mathematics from Tel Aviv University, where I studied under Zeev Rudnick.

Papers and Submissions

• Modular Chabauty: Effective Computation of S-Integral Points on Elliptic Moduli Problems. Link to preprint. Link to algorithm implementation. Submitted for publication.
  
  

• The Unipotent Chabauty-Kim-Kantor Method (Joint with D. Corwin). Link to preprint.

• Polylogarithmic Motivic Chabauty-Kim for the Punctured Line: The Geometric Step Via Resultants (Joint with D. Jarossay, D. T.-B. G. Lilienfeldt, F.M. Saettone, and A. Weiss). Link to preprint. Submitted for publication. 

• Sectorial Equidistribution of the Roots of X^2+1 Modulo Primes (Joint with E. Musicantov). Published in the Quarterly Journal of Mathematics.

• Pointwise Bounds for Eisenstein Series on Modular Quotients of SL2(R)\Γ_0(q)  (Joint with E. Musicantov). Published in the Quarterly Journal of Mathematics.

• On Cilleruelo's Conjecture for the Least Common Multiple of Polynomial Sequences (Joint with Z. Rudnick). Published in Revista Matemática Iberoamericana. 

Thesis

• Topics in Analytic Number Theory: The LCM Problem and the Equidistribution of Roots of Quadratic Congruences. Accepted in 2023. Link.

Preprints

• On the Joint Distribution of the Roots of Pairs of Polynomial Congruences. Preprint available here.

• Not Conway's 99-Graph Problem (Joint with I.F.D. Oliveira). Preprint available here.

Contact

Feel free to reach out to me at saarzehavi (* the at symbol *) gmail.com