Eckhard Meinrenken

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 {{Interlanguage link|Hartmann Römer|lt=Hartmann Römer|de}}.{{Cite web|title=Eckhard Meinrenken - The Mathematics Genealogy Project|url=https://www.mathgenealogy.org/id.php?id=137421|access-date=2021-07-31|website=www.mathgenealogy.org}}

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,{{Cite web|title=André-Aisenstadt 2001-2001/Meinrenken|url=http://www.crm.umontreal.ca/prix/Meinrenken99-00/|access-date=2021-07-31|website=www.crm.umontreal.ca}} in 2003 a McLean Award{{cite web|title=McLean Award|url=https://connaught.research.utoronto.ca/wp-content/uploads/2019/07/McLean-Award.pdf|url-status=live|access-date=|archive-url=https://web.archive.org/web/20200831161640/https://connaught.research.utoronto.ca/wp-content/uploads/2019/07/McLean-Award.pdf |archive-date=2020-08-31 }}{{Cite web|title=McLean Award: Past Winners|url=https://research.utoronto.ca/sites/default/files/2020-11/List-of-McLean-Award-Winners-2017.pdf|url-status=live|archive-url=https://web.archive.org/web/20210731174851/https://research.utoronto.ca/sites/default/files/2020-11/List-of-McLean-Award-Winners-2017.pdf |archive-date=2021-07-31 }} and in 2007 a NSERC Steacie Memorial Fellowship.{{cite web|date=27 February 2013|title=Past Winner 2007 E.W.R. Steacie Memorial Fellowship: Eckhard Meinrenken|url=http://www.nserc-crsng.gc.ca/Prizes-Prix/Steacie-Steacie/Profiles-Profils_eng.asp?ID=1013|access-date=17 August 2019}}

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing{{Cite web|title=ICM Plenary and Invited Speakers {{!}} International Mathematical Union (IMU)|url=https://www.mathunion.org/icm-plenary-and-invited-speakers?combine=&order=field_speakers_congress_year&sort=desc&page=37|access-date=2021-07-31|website=www.mathunion.org}}{{Cite web|title=ICM 2002 - Schedule of events|url=https://www.mathunion.org/fileadmin/IMU/ICM2002/offline/Beijing/B/Aug_23.htm|url-status=live|access-date=2021-07-31|website=www.mathunion.org|archive-url=https://web.archive.org/web/20210731174853/https://www.mathunion.org/fileadmin/IMU/ICM2002/offline/Beijing/B/Aug_23.htm |archive-date=2021-07-31 }} and in 2008 he was elected Fellow of the Royal Society of Canada.{{Cite web|title=Fields Institute -Symposium Celebrating New FRSC|url=https://www.fields.utoronto.ca/programs/scientific/08-09/FRSC/|access-date=2021-07-31|website=www.fields.utoronto.ca}}{{Cite web|title=Member Directory {{!}} The Royal Society of Canada|url=https://rsc-src.ca/en/find-rsc-member/results?combine=&first_name=&last_name=Meinrenken¤t_employer=&academy_25=All&is_deceased=All|access-date=2021-07-31|website=rsc-src.ca}}

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",{{Cite journal|date=1998-03-25|title=Symplectic Surgery and the Spinc–Dirac Operator|journal=Advances in Mathematics|language=en|volume=134|issue=2|pages=240–277|doi=10.1006/aima.1997.1701|doi-access=free|issn=0001-8708|last1=Meinrenken |first1=Eckhard }}{{Cite journal|date=1999-07-01|title=Singular Reduction and Quantization|url=https://www.sciencedirect.com/science/article/pii/S0040938398000123|journal=Topology|language=en|volume=38|issue=4|pages=699–762|doi=10.1016/S0040-9383(98)00012-3|issn=0040-9383|arxiv=dg-ga/9707023|last1=Meinrenken |first1=Eckhard |last2=Sjamaar |first2=Reyer |s2cid=18573269 }} originally formulated in 1982 by Guillemin and Sternberg.{{Cite journal|last1=Guillemin|first1=V.|last2=Sternberg|first2=S.|date=1982-10-01|title=Geometric quantization and multiplicities of group representations|doi-access=|journal=Inventiones Mathematicae|language=en|volume=67|issue=3|pages=515–538|doi=10.1007/BF01398934|bibcode=1982InMat..67..515G |issn=1432-1297}} In the same year, together with Anton Alekseev and Anton Malkin, he introduced Lie group-valued moment maps in symplectic geometry.{{Cite journal|last1=Alekseev|first1=Anton|last2=Malkin|first2=Anton|last3=Meinrenken|first3=Eckhard|date=1998-01-01|title=Lie group valued moment maps|journal=Journal of Differential Geometry|volume=48|issue=3|doi=10.4310/jdg/1214460860| doi-access=free|issn=0022-040X|arxiv=dg-ga/9707021}}

Meinrenken is author of more than 50 research papers in peer-reviewed journals,{{Cite web|title=MR: Meinrenken, Eckhard - 339966|url=https://mathscinet.ams.org/mathscinet/MRAuthorID/339966|access-date=2021-07-31|website=mathscinet.ams.org}} as well as a monograph on Clifford algebras.{{Cite book|last=Meinrenken|first=Eckhard|url=https://www.worldcat.org/oclc/829740609|title=Clifford algebras and Lie theory|date=2013|publisher=Springer|isbn=978-3-642-36216-3|location=Berlin|oclc=829740609}} He has supervised 9 PhD students as of 2021.

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Category:Living people

Category:German mathematicians

Category:Canadian mathematicians

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Category:University of Freiburg alumni

Category:Fellows of the Royal Society of Canada