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
SURNAME	Schumacher, Georg
BRIEF DESCRIPTION	German mathematician
DATE OF BIRTH	March 6, 1949
PLACE OF BIRTH	Muenster

[1] 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).