I've moved my website to github at https://ishaidcgit.github.io/. This web-page will no longer be updated.
Ishai Dan-Cohen

Ishai Dan-Cohen


Mailing address:
Department of Mathematics
Ben-Gurion University of the Negev
P.O. Box 653
Be'er Sheva 8410501
Israel

Physical address: Building 58b (Deichman), Office 214

Tel.: (+972) 8 647 7862
E-mail: ishaidc@gmail.com


Research interests:

Algebraic geometry; especially integral points, motives, p-adic periods, and the unipotent fundamental group.

Papers:

On André periods of mixed Tate motives, arXiv preprint

Joint with Asaf Horev: Koszul duality for left modules over associative algebras, arXiv preprint

Joint with David Jarossay: M_{0,5}: Towards the Chabauty-Kim method in higher dimensions, Mathematica. arXiv preprint
Sage code for M_{0,5} over ZZ[1/6] in half-weight 4

Joint with David Corwin: The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory II , Transactions of the AMS. arXiv preprint

Joint with David Corwin: The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory I , International Journal of Number Theory. arXiv preprint

Joint with Tomer Schlank: Morphisms of rational motivic homotopy types, Applied Categorical Structures. arXiv:1811.06365

Joint with Tomer Schlank: Rational motivic path spaces and Kim's relative unipotent section conjecture, Rendiconti del Seminario Matematico della Universita di Padova. Unfortunately, the published version contains numerous errors of grammar and idiom. I recommend giving preference to the arXiv preprint. arXiv preprint , Corrigendum

Mixed Tate motives and the unit equation II, Algebra and Number Theory. arXiv preprint

Joint with Stefan Wewers: Mixed Tate motives and the unit equation, Int. Math. Res. Not. IMRN 2016, no. 17. (Associated Sage code: localanalytic.sage, lip.sage)

Joint with Jennifer Balakrishnan, Minhyong Kim, and Stefan Wewers: A non-abelian conjecture of Birch and Swinnerton-Dyer type for hyperbolic curves , Math. Ann. 372 (2018), no. 1-2, 369–428. Erratum (Associated Sage code)

Joint with Stefan Wewers: Explicit Chabauty-Kim theory for the thrice punctured line in depth two, Proceedings of the London Math Society (2015) 110 (1): 133-171. arXiv preprint

Joint with Stefan Wewers: The Heisenberg coboundary equation: appendix to Explicit Chabauty-Kim theory

Moduli of unipotent representations II: wide representations and the width , Journal fur die Reine und angewandte Mathematik (Crelle's Journal), Volume 2015, Issue 699 (Feb 2015). Published version

Moduli of unipotent representations I: foundational topics, Annales de l'Institut Fourier, Vol. 62 no. 3 (2012), p. 1123-1187. Published version.

Moduli of unipotent representations, my thesis, largely subsumed by the two articles above.


Code:

Sage code for computing p-adic multiple polylogarithms, compiled jointly with Andre Chatzistamatiou: Read_Me_22 Main Subsidiary file Another subsidiary file

Seminars, Talks:

Web-page of the AGNT Seminar in BGU, Fall 2022 (with links to most other semesters)

A Motivic Weil height machine for curves A video of a lecture given at the INI in May of 2022

Connectedness and concentration theorems in rational motivic homotopy theory A video of a lecture given at Banff in 2017

The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory A video of a lecture given at the Hausdorff Center for Mathematics in April of 2018

Towards Chabauty-Kim loci for the polylogarithmic quotient A video of a lecture given at the AMS Summer Institute in Algebraic Geometry in Salt Lake City in August of 2015

AGNT Seminar, Spring 2019

Slides for a talk in Konstanz:
Explicit Chabauty-Kim theory for the thrice punctured line

A seminar which I co-organized with Stefan Wewers:
"p-Adic structure of integral points" Program Schedule

A conference which I co-organized with Martin Olsson:
Equivariant algebraic geometry

Notes for expository talks:

The geometry of 3-Selmer classes, a talk about work of Cassels, O'Neil, and Fisher, apropos the work of Bhargava-Shankar on the BSD conjecture

The induction step in the wildly ramified higher class field theory of Kerz--Saito, February 2015 in Essen

Beilinson's conjectures on values of L-functions, Novermber 2014 in Essen

From cycle-complex constructions to Voevodsky motives, a talk about work of Bloch, Kriz, and Levine

The unipotent fundamental group is motivic, a talk about work of Wojtkowiak, Goncharov, Beilinson, and Deligne

Divisors and their intersections on wonderful compactifications, a talk about work of de Concini, Procesi

Bloch's formula and the Gersten resolution. I gave this talk at an introductory K-theory seminar, which followed the book by Srinivas.

Kim's Selmer variety, a talk about work of Minhyong Kim

Deligne's weight-monodromy theorem

A two-hour introduction to algebraic K-theory and Chern class maps


This page was last modified on 26 October, 2022