14 citations · 18 across the 9 of their papers we have counts for
9 papers
-adic Periods and Selmer Scheme Images
David Corwin, Ishai Dan-Cohen
The Chabauty--Kim method was developed with the aim of approaching effective Faltings', the problem of explicitly determining the finite set of rational points on a hyperbolic curv…
The Unipotent Chabauty-Kim-Kantor Method for Relative Completions
David Corwin, Sa'ar Zehavi
We develop a new -adic analytic method for studying integral points on hyperbolic curves, building on Kantor's relative-completion approach to unifying the Chabauty-Kim and Lawr…
Bounds on the Chabauty--Kim Locus of Hyperbolic Curves
L. Alexander Betts, David Corwin, Marius Leonhardt
Conditionally on the Tate--Shafarevich and Bloch--Kato Conjectures, we give an explicit upper bound on the size of the -adic Chabauty--Kim locus, and hence on the number of rati…
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…
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…
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…
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…
On Cohen-Macaulayness of S_n-invariant subspace arrangements
Aaron Brookner, David Corwin, Pavel Etingof +1
Given a partition of n, consider the subspace of where the first coordinates are equal, the next coordinates are equal, etc. In this paper, we study sub…
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…