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 the Polytechnic Institute in Bucharest, from 1971 to 1975 at the Mathematical Institute and from 1975 to 1977 at the Institute of Atomic Physics and from 1977 at the INCREST in Bucharest. From 1978 to 1980 he was at the Institute for Advanced Study. He holds the Alice Wood Chair in Mathematics[4] at Ohio State University, where he has been since 1980.

Moscovici does research on representation theory, global analysis, and non-commutative geometry, in which he has collaborated with, among others, Alain Connes since the early 1980s. With Connes he proved in 1990 a refinement of the Atiyah–Singer index theorem.[5][6]

In 1990 he was Invited Speaker with talk Cyclic cohomology and invariants of multiply connected manifold at the International Congress of Mathematicians in Kyoto.[7]

In 2001, he received the Ohio State University Distinguished Scholar Award.[8] In 1995 he was a Guggenheim Fellow. From 1999 to 2000 he was at Harvard University as a scholar of the Clay Mathematics Institute. In 2009 in Bonn a conference was held in his honor.[9] 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". The Annals of Mathematics. 115 (2): 291. doi:10.2307/1971393. JSTOR 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; Moscovici, Henri (1995). "The Local Index Formula in Noncommutative Geometry". Geometries in Interaction. pp. 174–243. doi:10.1007/978-3-0348-9102-8_4. ISBN 978-3-0348-9907-9.
  • Connes, A.; Moscovici, H. (1998). "Hopf Algebras, Cyclic Cohomology and the Transverse Index Theorem". Communications in Mathematical Physics. 198 (1): 199–246. arXiv:math/9806109. Bibcode:1998CMaPh.198..199C. doi:10.1007/s002200050477.
  • 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, A.; Moscovici, H. (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, A.; Moscovici, H. (2006). "Type III and spectral triples". arXiv:math/0609703.
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References
  1. biographical information from Annual Report, Institute of Advanced Studies, 1980
  2. "Henri Moscovici". Department of Mathematics, Ohio State University. 2013-10-17.
  3. Henri Moscovici at the Mathematics Genealogy Project
  4. "Alice Louise Ridenour Wood, Endowed Chairs, College of Arts and Sciences". Ohio State University. 2018-12-06.
  5. Connes, A.; Moscovici, H. (1990), "Cyclic cohomology, the Novikov conjecture and hyperbolic groups" (PDF), Topology, 29 (3): 345–388, doi:10.1016/0040-9383(90)90003-3, Zbl 0759.58047
  6. Skandalis, Georges (2001). "Géométrie non commutative, opérateur de signature transverse et algèbres de Hopf (d'après Connes et Moscovici)" (PDF). Séminaire Bourbaki (892).
  7. Moscovici, Henri (1990). "Cyclic cohomology and invariants of multiply connected manifolds". In: Proceedings of the International Congress of Mathematicians. vol. 1. pp. 675–688. CiteSeerX 10.1.1.466.1366.
  8. "Distinguished Scholar Award". Ohio State University newspaper, onCampus online. 30 (21). 24 May 2001.
  9. Connes, A.; Gorokhovsky, A.; Lesch, M.; Pflaum, M.; Rangipour, B., eds. (2011). Noncommutative Geometry and Global Analysis: Conference in Honor of Henri Moscovici, June 29–July 4, 2009, Bonn, Germany. American Mathematical Soc. ISBN 978-0-8218-4944-6.
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