Henri Moscovici (born 5 May 1944 in Tecuci,

Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S ...

) is a Romanian-American mathematician, specializing in

non-commutative geometry Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions (possibly in some ge ...

and

global analysis In mathematics, global analysis, also called analysis on manifolds, is the study of the global and topological properties of differential equations on manifolds and vector bundles. Global analysis uses techniques in infinite-dimensional manifold th ...

. Moscovici received his undergraduate degree in 1966 and his doctorate in 1971 at the University of Bucharest under the supervision of

Gheorghe Vrânceanu Gheorghe is a Romanian given name and surname. It is a variant of George, also a name in Romanian but with soft Gs. It may refer to: Given name * Gheorghe Adamescu * Gheorghe Albu * Gheorghe Alexandrescu * Gheorghe Andriev * Gheorghe Apostol * ...

. 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 The "Simion Stoilow" Institute of Mathematics of the Romanian Academy is a research institute in Bucharest, Romania. It is affiliated with the Romanian Academy, and it is named after Simion Stoilow, one of its founders. History On December 2 ...

and from 1975 to 1977 at the Institute of Atomic Physics in

Măgurele Măgurele is a town situated in the southwestern part of Ilfov County, Muntenia, Romania. It has a population of 11,000 and hosts several research institutes. Research institutes The town hosts ''Măgurele Science Park'', the largest science par ...

, 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 The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

Princeton, New Jersey Princeton is a municipality with a borough form of government in Mercer County, in the U.S. state of New Jersey. It was established on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township, both of whi ...

. In 1980 he joined the

Ohio State University The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best publ ...

, where he held the ''Alice Wood'' Chair in Mathematics; 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. With Connes he proved in 1990 a refinement of the

Atiyah–Singer index theorem In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space ...

. As recounted by Connes in a 2021 interview, Moscovici became his greatest collaborator. In 1990 he was Invited Speaker with talk ''Cyclic cohomology and invariants of multiply connected manifold'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Kyoto Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the ci ...

. He has advised 14 Ph.D. students, including . In 2001, he received the Ohio State University Distinguished Scholar Award. In 1995 he was a

Guggenheim Fellow Guggenheim Fellowships are grants that have been awarded annually since by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the ar ...

. From 1999 to 2000 he was at Harvard University as a scholar of the

Clay Mathematics Institute The Clay Mathematics Institute (CMI) is a private, non-profit foundation (nonprofit), foundation dedicated to increasing and disseminating mathematics, mathematical knowledge. Formerly based in Peterborough, New Hampshire, the corporate address i ...

. A conference in his honor was held at the

Hausdorff Center for Mathematics The Hausdorff Center for Mathematics (HCM) is a research center in Bonn, formed by the four mathematical institutes of the Rheinische Friedrich-Wilhelms-Universität Bonn (Mathematical Institute, Institute for Applied Mathematics, Institute for ...

Bonn The federal city of Bonn ( lat, Bonna) is a city on the banks of the Rhine in the German state of North Rhine-Westphalia, with a population of over 300,000. About south-southeast of Cologne, Bonn is in the southernmost part of the Rhine-Ruhr r ...

in 2009. He was elected a Fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

in 2012.

Selected publications

* * (See Selberg trace formula.) * (See Novikov conjecture.) * * (also at ) * * (See

Hopf algebra Hopf is a German surname. Notable people with the surname include: *Eberhard Hopf (1902–1983), Austrian mathematician *Hans Hopf (1916–1993), German tenor *Heinz Hopf (1894–1971), German mathematician *Heinz Hopf (actor) (1934–2001), Swedis ...

.) * * (See

Rankin–Cohen bracket In mathematics, the Rankin–Cohen bracket of two modular form In mathematics, a modular form is a (complex) analytic function on the upper half-plane satisfying a certain kind of functional equation with respect to the Group action (mathematics) ...

.) * *

References

External links

* {{DEFAULTSORT:Moscovici, Henri 1944 births Living people People from Tecuci University of Bucharest alumni Academic staff of the Politehnica University of Bucharest 20th-century Romanian mathematicians 20th-century American mathematicians 21st-century American mathematicians Topologists Romanian emigrants to the United States Institute for Advanced Study visiting scholars Ohio State University faculty Fellows of the American Mathematical Society