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Diophantine geometry as Galois theory in the mathematics of Serge Lang
Published 2007“…A remark about the role of Galois theory in Diophantine geometry as reflected in the work of Serge Lang. …”
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The motivic fundamental group of the projective line minus three points and the theorem of Siegel
Published 2005“…In this paper, we establish a link between the structure theory of the pro-unipotent motivic fundamental group of the projective line minus three points and Diophantine geometry. In particular, we give a p-adic proof of Siegel's theorem.…”
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Galois actions on non-abelian finite groups and applications
Published 2017“…We also find its applications to some questions in the realm of Diophantine geometry.</p>…”
Thesis