Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

This is a preview. Log in through your library . Abstract Let un be a nondegenerate Lucas sequence. We generalize the results of Bugeaud, Mignotte, and Siksek (2006) to give a systematic approach ...

Arithmetic dynamics investigates the behaviour of iterated functions—often polynomials or rational maps—over number fields and function fields, while Galois theory provides the framework to analyse ...

Current Projects • EXC 2044 - A1: Arithmetic, geometry and representations The Langlands programme relates representations of (the adele valued points of) reductive groups G over Q - so-called ...

Transactions of the American Mathematical Society, Vol. 364, No. 9 (SEPTEMBER 2012), pp. 4735-4761 (27 pages) We study the variation of the dimension of the Bloch-Kato Selmer group of a p-adic Galois ...