Georg Schumacher (mathematician)
$ Georg Schumacher (born March 6, 1949 in Münster ) is a German mathematician who deals with questions of complex analysis (function theory of several complex variables) and complex geometry.
Life
Schumacher received his doctorate in 1974 with a thesis on local complex geometry under Reinhold Remmert in Münster.
In 1977/78 he was visiting professor at the University of Notre Dame . In 1981 he completed his habilitation in Münster, received a Heisenberg scholarship in 1984 and was a professor in Erlangen in 1986/87 and in Essen in 1987/88. In 1989 he was appointed Associate Professor (with tenure ) at the University of Notre Dame and calls to Bayreuth and the Ruhr University Bochum , where he was professor from 1989 to 1997 and headed the Graduate School Geometry and Mathematical Physics from 1990 to 1997 . Since 1997 he has been a professor at the Philipps University of Marburg .
He was visiting scholar at the Research Institute for Mathematical Sciences in Kyoto, at the MSRI , at the Mittag-Leffler Institute , at Harvard University , at the University of Rome (Tor Vergata) , Tokyo, the University of Maryland in College Park , in Bangalore (ICTS), Iceland, the University of Adelaide , the Tata Institute of Fundamental Research , Taiwan and the Courant Institute . Among other things, he organized an Oberwolfach conference on Teichmüller theory in 1992 with Scott Wolpert .
His main research interests are deformation theory , Kähler's geometry and the theory of modular spaces of complex manifolds and holomorphic vector bundles .
He is co-author of the new editions of the two volumes of the theory of functions by Reinhold Remmert.
Fonts
- Harmonic maps of the moduli space of compact Riemann surfaces, Math. Ann., Volume 275, 1985, pp. 455-466
- The theory of Teichmüller spaces - a view towards moduli spaces of Kähler manifolds, in W. Barth, R. Narasimhan (eds.), Encyclopedia of Mathematical Sciences, Volume 69, 1990, pp. 251-310
- with M. Thoma: On the Petersson-Weil metric for the moduli space of Hermite-Einstein bundles and its curvature, Math. Ann., Volume 293, 1992, pp. 101-107
- with Akira Fujiki: The moduli space of compact extremal Kähler manifolds and generalized Petersson-Weil metrics, Publ. RIMS, Kyoto Univ. 26, 1990, pp. 101-183
- Asymptotics of Kähler-Einstein metrics on quasi-projective manifolds and an extension theorem on holomorphic maps, Math. Annalen 311, 631-645 (1998).
- Moduli of framed manifolds, Inv. Math., Vol. 134, 1998, pp. 229-249
- Kähler geometry of moduli spaces, in: F. Catanese, H. Esnault, A. Huckleberry, K. Hulek, T. Peternell (eds.), Global aspects of complex geometry, Springer 2006
- with Indranil Biswas: Yang-Mills equation for stable Higgs sheaves, Int. J. Math., Vol. 20, 2009, pp. 541-556
- with Reynir Axelsson: Geometric Approach to the Weil-Petersson Symplectic Form, Commentarii Math. Helv., Volume 85, 2010, pp. 243-257
- Positivity of relative canonical bundles and applications. Invent. Math., Volume 190, 2012, pp. 1-56, Invent. Math., Volume 192, 2013, pp. 253-255 (2013).
- with Reinhold Remmert: Funktionentheorie, Volume 1, 5th revised edition 2002, Volume 2, 3rd revised edition 2007, Springer Verlag
- On the development of complex analysis in Germany from the end of the 19th century to the beginning of the seventies , Annual Report DMV Vol. 98, 1996, pp. 41-133, online
Web links
Individual evidence
- ↑ Georg Schumacher in the Mathematics Genealogy Project (English) . The dissertation was published in Mathematische Annalen 220, 97-103 (1976) and Manuscripta Math. 15, 33-44 (1976).
personal data | |
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SURNAME | Schumacher, Georg |
BRIEF DESCRIPTION | German mathematician |
DATE OF BIRTH | March 6, 1949 |
PLACE OF BIRTH | Muenster |