:Gerald Schwarz

Of German descent, Schwarz's father, Ernst, was one of the 30,000 Jews seized during Kristallnacht. He was imprisoned at the Buchenwald concentration camp until his wife, Elaine, managed to secure a visa to travel abroad. Upon his release from the camp, the couple fled to England where Gerald's older brother, Maurice, was born. In November 1939, Ernst, Elaine and Maurice arrived in the United States, eventually settling in Portland, Oregon.BrandeisNOW, Monday, August 17, 2015, p.1 Gerald was born seven years later. He spent his childhood in Portland, then moved to Cambridge, Massachusetts to attend school.

Schwarz earned his B.S. and M.S. degrees from the Massachusetts Institute of Technology (MIT) in 1969 and his Ph.D. in mathematics from MIT in 1972.[https://www.fields.utoronto.ca/aboutus/annual_reports/sept_2006_fieldsnotes.pdf FIELDSNOTES], Sept, 2006 Vol 7: Fields Institute, Research in Mathematical Science, p. 12.

Schwarz began his career at the University of Pennsylvania (1972–74) as a postdoctoral researcher, then joined the faculty at Brandeis University in Waltham, Massachusetts (1974). He spent the next academic year at the Institute for Advanced Study in Princeton, New Jersey (1975–76), where he recognized that the solution of the homotopy/isotopy lifting problem requires algebraic groups. The resulting theorem helps mathematicians classify smooth compact lie group actions on manifolds. The proof of the theorem appears in the paper Lifting smooth homotopies of orbit spaces [http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1980__51_/PMIHES_1980__51__37_0/PMIHES_1980__51__37_0.pdf Publications mathématiques de l’I.H.É.S.] and led to a tenured position at Brandeis in 1978. Four years later, Schwarz was promoted to full Professor.

Schwarz has written or co-authored over 60 journal articles in the field of mathematics.{{cite web|url=http://people.brandeis.edu/~schwarz/pub.html |title=Publications of G. Schwarz |publisher=People.brandeis.edu |date= |accessdate=2015-09-19}} In 1996, he was one of the founding editors of the journal Transformation Groups,Transformation Groups, Volume 1, Issue 1-2, 1996. {{ISSN|1083-4362}} (Print) {{ISSN|1531-586X}} (Online) and continued as one of its Managing Editors until February 2000.Transformation Groups, {{ISSN|1083-4362}} (Print) {{ISSN|1531-586X}} (Online): Volume 1, Issues 1-4, 1996; Volume 2, Issues 1-4, 1997; Volume 3, Issues 1-4, 1998; Volume 4, Issues 1-4, 1999; Volume 5, Issue 1, 2000. In 2012, he became a member of the inaugural class of fellows of the American Mathematical Society which recognizes mathematicians who have made significant contributions to the field.{{cite web|url=http://www.ams.org/profession/fellows-list |title=List of Fellows of the American Mathematical Society |publisher=Ams.org |date=2015-04-13 |accessdate=2015-09-19}}

• Poste Rouge, Centre National de Recherche Scientifiques (1996)
• Invited Speaker, International Congress of Mathematicians, Zürich (1994)Schwarz, Gerald W. "Invariant differential operators." In Proceedings of the International Congress of Mathematicians (Zürich, 1994), pp. 333–341. 1995.
• Member, Institut des Hautes Études Scientifiques (1982)
• Member, Institute for Advanced Study (1975)

• Smooth functions invariant under the action of a compact Lie group, [http://www.sciencedirect.com/science/article/pii/0040938375900361 Topology] 14 (1975), 63–68.
• Representations of simple Lie groups with regular rings of invariants, [https://link.springer.com/article/10.1007%2FBF01403085 Inventiones mathematicae] 49 (1978), 167–191.
• Lifting smooth homotopies of orbit spaces, [https://link.springer.com/article/10.1007%2FBF02684776 Publications Mathématiques de l'Institut des Hautes Études Scientifiques] 51 (1980), 37–132.
• (with C. Procesi) Inequalities defining orbit spaces, [https://link.springer.com/article/10.1007/BF01388587 Inventiones mathematicae] 81 (1985), 539–554.
• Invariant theory of G{{math|₂ }} and Spin{{math|₇}}, [http://gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN358147735_0063&DMDID=DMDLOG_0036&IDDOC=214197 Commentarii Mathematici Helvetici] (1988), 624–663.
• (with H. Kraft) Reductive groups actions with one-dimensional quotient, [https://link.springer.com/article/10.1007%2FBF02699430#page-1 Publications Mathématiques de l'Institut des Hautes Études Scientifiques]. 76 (1993), 1-97.
• (with D. Wehlau) Invariants of four subspaces, Ann. Inst. Fourier, 48 No. 3 (1998) 667–697.
• Lifting differential operators from orbit spaces, [https://eudml.org/doc/82383 Annales scientifiques de l'École Normale Supérieure]. Sup. 28 (1995), 253-305
• (with P. Heinzner) Cartan decomposition of the moment map, [https://link.springer.com/article/10.1007/s00208-006-0032-8 Mathematische Annalen] 337 (2007), 197–232.
• (with L. Helminck) Real double coset spaces and their invariants, [http://www.sciencedirect.com/science/article/pii/S0021869309000775 Journal of Algebra]. 322 (2009), 219-236
• (with F. Kutzschebauch and F. Larusson) Sufficient Conditions for Holomorphic Linearisation, {{ArXiv|1503.00794}} (2015).

{{Reflist}}

• [http://genealogy.math.ndsu.nodak.edu/ The Mathematics Genealogy Project]
• [http://people.brandeis.edu/~schwarz/ Home Page]

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Category:Living people

Category:Scientists from Portland, Oregon

Category:Massachusetts Institute of Technology School of Science alumni

Category:20th-century American mathematicians

Category:American people of German-Jewish descent

Category:Jewish American scientists

Category:Fellows of the American Mathematical Society

Category:1946 births

Category:21st-century American mathematicians

Category:Brandeis University faculty