Biography:Henri Moscovici
Henri Moscovici (born 5 May 1944 in Tecuci, Romania) is a Romanian-American mathematician,[1] specializing in non-commutative geometry and global analysis.[2]
Moscovici received his undergraduate degree in 1966 and his doctorate in 1971 at the University of Bucharest under the supervision of Gheorghe Vrânceanu.[3] From 1966 to 1971 Moscovici was an assistant at Politehnica University of Bucharest, from 1971 to 1975 at the Institute of Mathematics of the Romanian Academy and from 1975 to 1977 at the Institute of Atomic Physics in Măgurele, and from 1977 at the INCREST in Bucharest. In 1978 he left for the United States, where he was a visitor at the Institute for Advanced Study in Princeton, New Jersey. In 1980 he joined the Ohio State University, where he held the Alice Wood Chair in Mathematics;[4] he is now a Professor Emeritus there.
Moscovici does research on representation theory, global analysis, and non-commutative geometry, in which he has collaborated with, among others, Alain Connes, since the two met at the Institute for Advanced Study in 1978.[5] With Connes he proved in 1990 a refinement of the Atiyah–Singer index theorem.[6][7] As recounted by Connes in a 2021 interview, Moscovici became his greatest collaborator.[5]
In 1990 he was Invited Speaker with talk Cyclic cohomology and invariants of multiply connected manifold at the International Congress of Mathematicians in Kyoto.[8] He has advised 14 Ph.D. students, including András Némethi (hu).[3]
In 2001, he received the Ohio State University Distinguished Scholar Award.[9] In 1995 he was a Guggenheim Fellow. From 1999 to 2000 he was at Harvard University as a scholar of the Clay Mathematics Institute. A conference in his honor was held at the Hausdorff Center for Mathematics in Bonn in 2009.[10][11] He was elected a Fellow of the American Mathematical Society in 2012.
Selected publications
- Connes, Alain; Moscovici, Henri (1982). "The L2-Index Theorem for homogeneous spaces of Lie groups". Annals of Mathematics 115 (2): 291. doi:10.2307/1971393.
- Barbasch, Dan; Moscovici, Henri (1983). "L2-index and the Selberg trace formula". Journal of Functional Analysis 53 (2): 151–201. doi:10.1016/0022-1236(83)90050-2. (See Selberg trace formula.)
- Connes, Alain; Moscovici, Henri (1990). "Cyclic cohomology, the Novikov conjecture and hyperbolic groups". Topology 29 (3): 345–388. doi:10.1016/0040-9383(90)90003-3. (See Novikov conjecture.)
- Connes, Alain; Gromov, Mikhael; Moscovici, Henri (1993). "Group cohomology with Lipschitz control and higher signatures". Geometric and Functional Analysis 3 (1): 1–78. doi:10.1007/BF01895513.
- Connes, Alain; Moscovici, Henri (1995). "The local index formula in noncommutative geometry". Geometric and Functional Analysis 5 (2): 174–243. doi:10.1007/BF01895667. https://cds.cern.ch/record/280312. (also at doi:10.1007/978-3-0348-9102-8_4)
- Connes, Alain; Moscovici, Henri (1998). "Hopf Algebras, Cyclic Cohomology and the Transverse Index Theorem". Communications in Mathematical Physics 198 (1): 199–246. doi:10.1007/s002200050477. Bibcode: 1998CMaPh.198..199C.
- Connes, Alain; Moscovici, Henri (1999). "Cyclic Cohomology and Hopf Algebras". Letters in Mathematical Physics 48: 97–108. doi:10.1023/A:1007527510226. (See Hopf algebra.)
- Connes, Alain; Moscovici, Henri (2000). "Cyclic Cohomology and Hopf Algebra Symmetry". Letters in Mathematical Physics 52: 1–28. doi:10.1023/A:1007698216597.
- Connes, Alain; Moscovici, Henri (2004). "Rankin-Cohen brackets and the Hopf algebra of transverse geometry". Moscow Mathematical Journal 4 (1): 111–130. doi:10.17323/1609-4514-2004-4-1-111-130. (See Rankin–Cohen bracket.)
- Connes, Alain; Moscovici, Henri (2008), "Type III and spectral triples", Traces in number theory, geometry and quantum fields, Aspects of Mathematics, E38, Wiesbaden: Friedr. Vieweg, pp. 57–71
- Connes, Alain; Moscovici, Henri (2014). "Modular curvature for noncommutative two-tori". Journal of the American Mathematical Society 27 (3): 639–684. doi:10.1090/S0894-0347-2014-00793-1.
References
- ↑ Biographical information from Annual Report, Institute of Advanced Studies, 1980
- ↑ "Henri Moscovici". 2013-10-17. https://math.osu.edu/people/moscovici.1.
- ↑ 3.0 3.1 Henri Moscovici at the Mathematics Genealogy Project
- ↑ "Alice Louise Ridenour Wood, Endowed Chairs, College of Arts and Sciences". 2018-12-06. https://www.osu.edu/giving/endowments/endowed-chairs/college-of-arts-and-sciences.
- ↑ 5.0 5.1 Jackson, Allyn (2021). "Interview with Alain Connes". Celebratio Mathematica. https://celebratio.org/Connes_A/article/842/.
- ↑ Connes, Alain; Moscovici, Henri (1990), "Cyclic cohomology, the Novikov conjecture and hyperbolic groups", Topology 29 (3): 345–388, doi:10.1016/0040-9383(90)90003-3, http://www.alainconnes.org/docs/novikov.pdf
- ↑ Skandalis, Georges (2001). "Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf (d'après Connes et Moscovici)". Séminaire Bourbaki (892). https://webusers.imj-prg.fr/~georges.skandalis/Publications/Publi36.pdf.
- ↑ Moscovici, Henri (1990). "Cyclic cohomology and invariants of multiply connected manifolds". In: Proceedings of the International Congress of Mathematicians. 1. pp. 675–688.
- ↑ "Distinguished Scholar Award". Ohio State University newspaper, onCampus online 30 (21). 24 May 2001. http://www.oncampus.osu.edu/archive/v30n21/thisissue_5.html.
- ↑ Connes, Alain; Gorokhovsky, Alexander; Lesch, Matthias et al., eds (2011). Noncommutative Geometry and Global Analysis: Conference in Honor of Henri Moscovici, June 29–July 4, 2009, Bonn, Germany. Contemporary Mathematics. 546. Providence, RI: American Mathematical Society. ISBN 978-0-8218-4944-6. https://books.google.com/books?id=sirVAwAAQBAJ.
- ↑ "Mathematical Institute of the University of Bonn – Events". Hausdorff Center for Mathematics. http://www.math.uni-bonn.de/veranstaltung/?language=en.
External links
- Henri Moscovici publications indexed by Google Scholar
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