Faculty Guide

Title

Professor Emeritus of Mathematics

Mathematics

Expertise

Algebraic groups. Transformation groups.

Awards and Honors

Visiting Professor Ruht-Universitaet Bochum (2009)

Visiting Professor Universitaet zu Koeln (2009)

Visiting Professor University of Poitiers (2009)

Invited Professor, Ruhr-Universitaet Bochum (2007)

Invited Professor, Ruhr-Universitaet Bochum (2006)

Invited Professor, Ruhr-Universitaet Bochum (2005)

Inivited Professor Ruhr Universitaet Bochum (2003)

Invited Professor Mathematisches Institut der Universitaet Basel (2003)

Centre National de Recherche Scientifiques Poste Rouge (1996)

Member, TATA Institute of Fundamental Research, Mumbai (1995)

Invited Speaker, International Congress of Mathematicians, Zurich (1994)

Member, Institut des Hautes Etudes Scientifiques (1982)

Member, Institute for Advanced Study (1975)

National Science Foundation Fellowship (1968 - 1972)

Kerr Award (1965)

Scholarship

Helminck, Loek and Schwarz, Gerald W. "Real double coset spaces and their invariants." Journal of Algebra (2009). (forthcoming)

Kraft, Hanspeter; Loetscher, Roland and Schwarz, Gerald W. "Compression of finite groups and covariant dimension, II." Journal of Algebra (2009). (forthcoming)

Schwarz, Gerald W. "Isomorphisms preserving invariants." Geometriae Dedicata (2009). (forthcoming)

Schwarz, Gerald W, Heinzner P. and Stoetzel, H.. "Stratifications with respect to actions of real reductive groups." Compositio Math. 144. (2008): 163--185.

Schwarz, Gerald W. "Linear maps preserving fibers." Journal of Lie Theory 18. (2008): 433--443.

Schwarz, Gerald W. "Linear maps preserving invariants." Proceedings of the American Mathemaitical Society 136. (2008): 4197--4200.

Schwarz, Gerald W with Heinzner, Peter. "Cartan decomposition of the moment map." Mathematische Annalen 337. (2007): 197-232.

Schwarz, Gerald W with Kraft, Hanspeter. "Compression of finite groups actions and covariant dimension." Journal of Algebra 313. (2007): 268--291.

Schwarz, Gerald W. "When polarizations generate." Transformation Groups 12. (2007): 761--767.

Schwarz, Gerald W with A.G. Helminck. "Smoothness of quotients associated with a pair of commuting involutions." Candaian Journal of Mathematics (2004).

Schwarz,Gerald W. "Group actions and quotients for compact Lie groups and algebraic groups." Invariant theory in all characteristic CRM Proc. Lecture Notes, AMS. (2004).

Schwarz,Gerald W. "Finite dimansional representations of invariant differential operators, II." Journal of Algebra (2003).

Schwarz, Gerald W with H. Kraft. "Reductive Group Actions with One-dimensional Quotient." Mathematical Publications of the IHES (1993).

Schwarz, Gerald W. Co-Author T. Petrie and H. Kraft. Topological Methods in Algebraic Transformation Groups, Progress in Mathematics. Birkhauser Verlag, 1989.

Schwarz, Gerald W. "Lifting Smooth Homotopies of Orbit Spaces." Mathematical Publications of the IHES (1980).