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Gerald Schwarz specialises in [[invariant theory]], algebraic [[group action]]s and [[invariant differential operator]]s. He 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.<ref>''[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. </ref>
Gerald Schwarz specialises in [[invariant theory]], algebraic [[group action]]s and [[invariant differential operator]]s. He 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.<ref>''[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. </ref>


Schwarz began his career at the [[University of Pennsylvania]] (1972-74) as a [[post doc]], 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]]/[[Homotopy#Isotopy|isotopy]] [[Homotopy lifting property|lifting problem]] requires [[algebraic group]]s. 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]]'' <ref>http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1980__51_/PMIHES_1980__51__37_0/PMIHES_1980__51__37_0.pdf</ref>'' and led to a [[tenure]]d position at Brandeis in 1978. Four years later, Schwarz was promoted to Full Professor.
Schwarz began his career at the [[University of Pennsylvania]] (1972-74) as a [[post doc]], 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]]/[[Homotopy#Isotopy|isotopy]] [[Homotopy lifting property|lifting problem]] requires [[algebraic group]]s. 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]'' <ref>http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1980__51_/PMIHES_1980__51__37_0/PMIHES_1980__51__37_0.pdf</ref>'' and led to a [[tenure]]d 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.<ref>{{cite web|url=http://people.brandeis.edu/~schwarz/pub.html |title=Publications of G. Schwarz |publisher=People.brandeis.edu |date= |accessdate=2015-09-19}}</ref> In 1996, he was one of the founding editors of the journal ''Transformation Groups,''<ref>''Transformation Groups'', Volume 1, Issue 1-2, 1996. ISSN: 1083-4362 (Print) 1531-586X (Online)</ref> and continued as one of its Managing Editors until February of 2000.<ref>''Transformation Groups,'' ISSN: 1083-4362 (Print) 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.</ref> 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.<ref>{{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}}</ref>
Schwarz has written or co-authored over 60 journal articles in the field of mathematics.<ref>{{cite web|url=http://people.brandeis.edu/~schwarz/pub.html |title=Publications of G. Schwarz |publisher=People.brandeis.edu |date= |accessdate=2015-09-19}}</ref> In 1996, he was one of the founding editors of the journal ''Transformation Groups,''<ref>''Transformation Groups'', Volume 1, Issue 1-2, 1996. ISSN: 1083-4362 (Print) 1531-586X (Online)</ref> and continued as one of its Managing Editors until February of 2000.<ref>''Transformation Groups,'' ISSN: 1083-4362 (Print) 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.</ref> 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.<ref>{{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}}</ref>

Revision as of 04:02, 27 September 2015

Gerald Walter Schwarz (born February 15, 1946, Portland, Oregon, United States) is an American mathematician and Professor Emeritus at Brandeis University.

Life and work

Gerald Schwarz specialises in invariant theory, algebraic group actions and invariant differential operators. He 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.[1]

Schwarz began his career at the University of Pennsylvania (1972-74) as a post doc, 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] [2] 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.[3] In 1996, he was one of the founding editors of the journal Transformation Groups,[4] and continued as one of its Managing Editors until February of 2000.[5] 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.[6]

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 their son, Maurice, was born. In November of 1939, Ernst, Elaine and Maury landed on US soil, eventually settling in Portland, Oregon.[7]

Honors

  • Poste Rouge, Centre National de Recherche Scientifiques (1996)
  • Member, Institut des Hautes Etudes Scientifiques (1982)
  • Member, Institute for Advanced Study (1975)

Selected publications

References

  1. ^ FIELDSNOTES, Sept, 2006 Vol 7: Fields Institute, Research in Mathematical Science, p. 12.
  2. ^ http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1980__51_/PMIHES_1980__51__37_0/PMIHES_1980__51__37_0.pdf
  3. ^ "Publications of G. Schwarz". People.brandeis.edu. Retrieved 2015-09-19.
  4. ^ Transformation Groups, Volume 1, Issue 1-2, 1996. ISSN: 1083-4362 (Print) 1531-586X (Online)
  5. ^ Transformation Groups, ISSN: 1083-4362 (Print) 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.
  6. ^ "List of Fellows of the American Mathematical Society". Ams.org. 2015-04-13. Retrieved 2015-09-19.
  7. ^ BrandeisNOW, Monday, August 17, 2015, p.1
  8. ^ "[1503.00794] Sufficient Conditions for Holomorphic Linearisation". Arxiv.org. Retrieved 2015-09-19.
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