Ludmil Katzarkov
Ludmil Vassilev Katzarkov ( Bulgarian Людмил Василев Кацарков ; born December 19, 1961 in Russe , Bulgaria ) is a Bulgarian mathematician . He is Professor of Algebraic Geometry and Differential Geometry at the Faculty of Mathematics at the University of Vienna .
Katzarkov studied mathematics at Moscow State University in Moscow and the University of Pennsylvania , where he in 1995 Ron Donagi on factorization theorem for the Representations of the fundamental Groups of Quasiprojective Varieties and Some Applications doctorate was. He was then a professor at the University of California, Irvine until 2004 and at the University of Miami from 2004 to 2007 . By April 2007 he was sent to the University of Vienna appointed .
His areas of specialization are algebraic geometry , symplectic geometry , mathematical aspects of string theory , homological mirror symmetry and the categorical treatment of geometric questions.
In 2008, Katzarkov received an ERC Advanced Investigators Grant from the European Research Council (ERC) . From 1998 to 2000 he was a Sloan Research Fellow .
Publications (selection)
- with Denis Auroux : Branched coverings of CP 2 and invariants of symplectic 4-manifolds. In: Inventiones mathematicae 142 (2000), pp. 631-673.
- with Jaume Amorós, Fedor Bogomolov , Tony Pantev: Symplectic Lefschetz fibrations with arbitrary fundamental groups. With an appendix by Ivan Smith. In: Journal of Differential Geometry 54 (2000), pp. 489-545.
- with Denis Auroux, Simon Donaldson : Singular Lefschetz pencils. In: Geometry & Topology 9 (2005), pp. 1043-1114.
- with Denis Auroux, Dmitri Orlov: Mirror symmetry for del Pezzo surfaces: vanishing cycles and coherent sheaves. In: Inventiones mathematicae 166 (2006), pp. 537-582.
- with Denis Auroux, Dmitri Orlov: Mirror symmetry for weighted projective planes and their noncommutative deformations. In: Annals of Mathematics (2) 167 (2008), pp. 867-943.
- with Maxim Kontsevich , Tony Pantev: Hodge theoretic aspects of mirror symmetry . In: Proceedings of Symposia in Pure Mathematics. 78, American Mathematical Society, 2008, pp. 87-174,
Individual evidence
- ↑ a b c d curriculum vitae in the online newspaper of the University of Vienna
- ^ Katzarkov in the Mathematics Genealogy Project .
- ↑ Quantum physicist Anton Zeilinger and mathematician Ludmil Katzarkov receive new EU funding for pioneering research ( page no longer available , search in web archives ) Info: The link was automatically marked as defective. Please check the link according to the instructions and then remove this notice. , published July 30, 2008.
Web links
- CV in the online newspaper of the University of Vienna with picture
- Katzarkov at the University of Vienna
- mathnet.ru
personal data | |
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SURNAME | Katzarkov, Ludmil |
ALTERNATIVE NAMES | Katzarkov, Ludmil Vassilev |
BRIEF DESCRIPTION | Bulgarian mathematician |
DATE OF BIRTH | December 19, 1961 |
PLACE OF BIRTH | Russian (city) , Bulgaria |