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

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:

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

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*