17 citations · 83 across the 33 of their papers we have counts for
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math.NT2010
Algebraic equations on the adelic closure of a Drinfeld module
Dragos Ghioca, Thomas Scanlon
Let be a field of positive characteristic and a function field of a variety over and let be a ring of adéles of with respect to a cofinit…
math.AG2010
A Euclidean Skolem-Mahler-Lech-Chabauty method
Thomas Scanlon
Using the theory of o-minimality we show that the -adic method of Skolem-Mahler-Lech-Chabauty may be adapted to prove instances of the dynamical Mordell-Lang conjecture for some…
math.LO2010★ 2 cited
Artin-Schreier extensions in NIP and simple fields
Itay Kaplan, Thomas Scanlon, Frank O. Wagner
We show that NIP fields have no Artin-Schreier extension, and that simple fields have only a finite number of them.