Daniel Greb
Professor
Complex Geometry
Freiburg Institute for Advanced Studies
Germany
Biography
since 10/2014 W3-Professor for Algebraic Geometry, Universität Duisburg-Essen 06/2014 Offer W3-Professor position, Philipps-Universität Marburg (declined) 08/2014 - 09/2014 W2-Professor for Algebra/Topology, Ruhr-Universität Bochum 12/2013 Offer W2-Professor position, Goethe-Universität Frankfurt am Main (declined) 02/2013 - 07/2014 Juniorprofessor for Algebra/Topology, Ruhr-Universität Bochum 02/2013 Habilitation, Albert-Ludwigs-Universität Freiburg 04/2012 - 09/2012 Visiting Professor (Professurvertretung), Rheinische Friedrich-Wilhelms-Universität Bonn Spring 2011 Visiting Fellow, Princeton University Spring 2009 Postdoctoral Fellow, MSRI, Berkeley (Program: Algebraic Geometry) 11/2008 - 01/2013 Akademischer Rat auf Zeit, Albert-Ludwigs-Universität Freiburg 10/2007 - 10/2008 Postdoctoral Assistant, Universität zu Köln, Research group: Prof. Dr. Stefan Kebekus 01/2008 Dr. rer. nat., Ruhr-Universität Bochum, Advisor: Prof. Dr. Peter Heinzner 10/2004 Diplom Mathematik, Ruhr-Universität Bochum 09/2004 M.Sc. in Mathematics, University of Warwick, Advisor: Prof. John Rawnsley
Research Interest
Research Interests Algebraic transformation groups, Geometric Invariant Theory and quotient theory Hamiltonian actions of complex-reductive Lie groups on Kählerian spaces Kählerian reduction Singularities of analytic Hilbert quotients, relation to extension problems for differential forms Applications to moduli problems
Publications
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Moduli of vector bundles on higher-dimensional base manifolds - Construction and Variation (with Julius Ross and Matei Toma) International Journal of Mathematics 27 (2016), vol. 07, Special Issue: Proceedings of VBAC 2014 "Algebraic Varieties: Bundles, Topology, Physics", 1650054 (27 pages), DOI: 10.1142/S0129167X16500543
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Semi-continuity of stability for sheaves and variation of Gieseker moduli spaces (with Julius Ross and Matei Toma) Journal für die Reine und Angewandte Mathematik (Crelle's Journal), Ahead of Print, July 2016, DOI: 10.1515/crelle-2016-0022
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Uniformisation of higher-dimensional minimal varieties (with Stefan Kebekus and Behrouz Taji) accepted for publication in the Proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City, Proceedings of Symposia in Pure Mathematics, American Mathematical Society, 2017
