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Eckhard Meinrenken

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Eckhard Meinrenken
Meinrenken in 2007
Alma materAlbert-Ludwigs-Universität Freiburg
AwardsAisenstadt Prize, 2001
Fellow of the Royal Society of Canada, 2008
Scientific career
FieldsMathematics
InstitutionsUniversity of Toronto
Thesis Vielfachheitsformeln für die Quantisierung von Phasenräumen  (1994)
Doctoral advisorHartmann Roemer
Websitehttp://www.math.toronto.edu/mein/

Eckhard Meinrenken FRSC is a German-Canadian mathematician working in differential geometry and mathematical physics. He is a professor at University of Toronto.

Education and career

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Meinrenken studied Physics at Albert-Ludwigs-Universität Freiburg, where he obtained a Diplom in 1990 and a PhD in 1994, with a thesis entitled Vielfachheitsformeln für die Quantisierung von Phasenräumen (Multiplicity formulas for the quantization of phase spaces), under the supervision of Hartmann Römer [de].[1]

He was a postdoc at Massachusetts Institute of Technology from 1995 to 1997, and then he joined University of Toronto Department of Mathematics in 1998 as assistant professor. In 2000 he become Associated Professor and since 2004 he is Full Professor at the same university.

Meinrenken was awarded in 2001 an André Aisenstadt Prize,[2] in 2003 a McLean Award[3][4] and in 2007 a NSERC Steacie Memorial Fellowship.[5]

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing[6][7] and in 2008 he was elected Fellow of the Royal Society of Canada.[8][9]

Research

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Meinrenken's research interests lie in the fields of differential geometry and mathematical physics. In particular, he works on symplectic geometry, Lie theory and Poisson geometry.

Among his most important contributions, in 1998 he proved, together with Reyer Sjamaar the conjecture "quantisation commutes with reduction",[10][11] originally formulated in 1982 by Guillemin and Sternberg.[12] In the same year, together with Anton Alekseev and Anton Malkin, he introduced Lie group-valued moment maps in symplectic geometry.[13]

Meinrenken is author of more than 50 research papers in peer-reviewed journals,[14] as well as a monograph on Clifford algebras.[15] He has supervised 9 PhD students as of 2021.[1]

References

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  1. ^ a b "Eckhard Meinrenken - The Mathematics Genealogy Project". www.mathgenealogy.org. Retrieved 2021-07-31.
  2. ^ "André-Aisenstadt 2001-2001/Meinrenken". www.crm.umontreal.ca. Retrieved 2021-07-31.
  3. ^ "McLean Award" (PDF). Archived (PDF) from the original on 2020-08-31.
  4. ^ "McLean Award: Past Winners" (PDF). Archived (PDF) from the original on 2021-07-31.
  5. ^ "Past Winner 2007 E.W.R. Steacie Memorial Fellowship: Eckhard Meinrenken". 27 February 2013. Retrieved 17 August 2019.
  6. ^ "ICM Plenary and Invited Speakers | International Mathematical Union (IMU)". www.mathunion.org. Retrieved 2021-07-31.
  7. ^ "ICM 2002 - Schedule of events". www.mathunion.org. Archived from the original on 2021-07-31. Retrieved 2021-07-31.
  8. ^ "Fields Institute -Symposium Celebrating New FRSC". www.fields.utoronto.ca. Retrieved 2021-07-31.
  9. ^ "Member Directory | The Royal Society of Canada". rsc-src.ca. Retrieved 2021-07-31.
  10. ^ Meinrenken, Eckhard (1998-03-25). "Symplectic Surgery and the Spinc–Dirac Operator". Advances in Mathematics. 134 (2): 240–277. doi:10.1006/aima.1997.1701. ISSN 0001-8708.
  11. ^ Meinrenken, Eckhard; Sjamaar, Reyer (1999-07-01). "Singular Reduction and Quantization". Topology. 38 (4): 699–762. arXiv:dg-ga/9707023. doi:10.1016/S0040-9383(98)00012-3. ISSN 0040-9383. S2CID 18573269.
  12. ^ Guillemin, V.; Sternberg, S. (1982-10-01). "Geometric quantization and multiplicities of group representations". Inventiones Mathematicae. 67 (3): 515–538. Bibcode:1982InMat..67..515G. doi:10.1007/BF01398934. ISSN 1432-1297.
  13. ^ Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard (1998-01-01). "Lie group valued moment maps". Journal of Differential Geometry. 48 (3). arXiv:dg-ga/9707021. doi:10.4310/jdg/1214460860. ISSN 0022-040X.
  14. ^ "MR: Meinrenken, Eckhard - 339966". mathscinet.ams.org. Retrieved 2021-07-31.
  15. ^ Meinrenken, Eckhard (2013). Clifford algebras and Lie theory. Berlin: Springer. ISBN 978-3-642-36216-3. OCLC 829740609.
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