Andreas Thom is a German mathematician, working on geometric group theory, algebraic topology, ergodic theory of group actions, and operator algebras. [1]
Thom received in 2000 his Certificate of Advanced Study in Mathematics from the University of Cambridge. In 2003 he obtained his doctorate (Promotion) from the University of Münster with thesis advisor Joachim Cuntz and thesis Connective E-Theory and Bivariant Homology for C*-Algebra. [2] He was a Postdoc 2003–2005 at the University of Münster, and 2005–2007 at the University of Göttingen. From 2007 to 2009 he was a junior professor for Geometrical Aspects of Pure Mathematics at the University of Göttingen. After being promoted to assistant professor in Göttingen, he moved in 2009 to become a full professor for Theoretical Mathematics at the University of Leipzig. In 2014 he moved for a full professorship in Geometry to the TU Dresden. [3]
In mathematics, the Jacobian varietyJ(C) of a non-singular algebraic curve C of genus g is the moduli space of degree 0 line bundles. It is the connected component of the identity in the Picard group of C, hence an abelian variety.
Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act.
Wilhelm Karl Joseph Killing was a German mathematician who made important contributions to the theories of Lie algebras, Lie groups, and non-Euclidean geometry.
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Samuel James Patterson is a Northern Irish mathematician specializing in analytic number theory. He has been a professor at the University of Göttingen since 1981.
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Philipp Habegger is a Swiss mathematician and a professor of mathematics at the University of Basel who works in Diophantine geometry.
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In algebraic geometry, the Bogomolov–Sommese vanishing theorem is a result related to the Kodaira–Itaka dimension. It is named after Fedor Bogomolov and Andrew Sommese. Its statement has differing versions:
Bogomolov–Sommese vanishing theorem for snc pair: Let X be a projective manifold, D a simple normal crossing divisor and an invertible subsheaf. Then the Kodaira–Itaka dimension is not greater than p.
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