Ishai Dan-Cohen
DFG Postdoc

Mailing address:
Fakultät für Mathematik
Universität Duisburg-Essen
Thea-Leymann-Strasse 9
45127 Essen
Germany

Tel.: (+49) 201 183 2523
E-mail: ishaidc@gmail.com


Teaching


Research interests: algebraic geometry; integral points of hyperbolic curves, especially P^1 minus three points; p-adic polylogarithms; mixed Tate motives and the unipotent fundamental group; unipotent representations and their moduli.

Papers:

Explicit motivic Chabauty-Kim theory III: towards the polylogarithmic quotient over general number fields

Joint with Stefan Wewers: Mixed Tate motives and the unit equation, International Math Research Notices, to appear. (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 , submitted. (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). preprint

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


My Research Statement

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


This page was last modified on 8 October, 2015