activity
20122021
most citedBrauer and Etale Homotopy Obstructions to Rational Points on Open Covers

3 citations · 4 across the 3 of their papers we have counts for

collaborators

5 papers

math.NT2021

Explicit Motivic Mixed Elliptic Chabauty-Kim

David Corwin

The main point of the paper is to take the explicit motivic Chabauty-Kim method developed in papers of Dan-Cohen--Wewers and Dan-Cohen and the author and make it work for non-ratio…

math.NT20203 cited

Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers

David Corwin, Tomer Schlank

In 2010, Poonen gave the first example of failure of the local-global principle that cannot be explained by Skorobogatov's étale Brauer-Manin obstruction. Motivated by this example…

math.NT2018

The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory I

David Corwin, Ishai Dan-Cohen

Polylogarithms are those multiple polylogarithms that factor through a certain quotient of the de Rham fundamental group of the thrice punctured line known as the polylogarithmic q…

math.AG2018

The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory II

Ishai Dan-Cohen, David Corwin

Building on work by Dan-Cohen--Wewers, Dan-Cohen [DC], and Brown, we push the computational boundary of our explicit motivic version of Kim's method in the case of the thrice punct…

math.NT20121 cited

Elliptic Curves with Full 2-Torsion and Maximal Adelic Galois Representations

David Corwin, Tony Feng, Zane Kun Li +1

In 1972, Serre showed that the adelic Galois representation associated to a non-CM elliptic curve over a number field has open image in GL_2(\hat{Z}). In Greicius' thesis, he devel…