Jonathan Micah Rosenberg (born December 30, 1951 in

Chicago (''City in a Garden''); I Will , image_map = , map_caption = Interactive Map of Chicago , coordinates = , coordinates_footnotes = , subdivision_type = Country , subdivision_name ...

Illinois Illinois ( ) is a U.S. state, state in the Midwestern United States, Midwestern United States. Its largest metropolitan areas include the Chicago metropolitan area, and the Metro East section, of Greater St. Louis. Other smaller metropolita ...

) is an American mathematician, working in

algebraic topology Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up t ...

, operator algebras, K-theory and representation theory, with applications to

string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...

(especially dualities) in physics. Rosenberg received his Ph.D. in 1976, under the supervision of

Marc Rieffel Marc Aristide Rieffel is a mathematician noted for his fundamental contributions to C*-algebraG Cortinas (2008) ''K-theory and Noncommutative Geometry'', European Mathematical Society. and quantum group theory. He is currently a professor in the d ...

, from the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...

(''Group C*-algebras and square integrable representations''). From 1977 to 1981 he was an assistant professor at the

University of Pennsylvania The University of Pennsylvania (also known as Penn or UPenn) is a private research university in Philadelphia. It is the fourth-oldest institution of higher education in the United States and is ranked among the highest-regarded universitie ...

. Since 1981, he has been at the

University of Maryland at College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Mary ...

where he is the Ruth M. Davis Professor of Mathematics. He is also 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, ...

(AMS).List of Fellows of the American Mathematical Society
retrieved 2013-11-16. He studies operator algebras and their relations with topology, geometry, with the unitary representation theory of Lie groups, K-theory and index theory. Along with

H. Blaine Lawson Herbert Blaine Lawson, Jr. is a mathematician best known for his work in minimal surfaces, calibrated geometry, and algebraic cycles. He is currently a Distinguished Professor of Mathematics at Stony Brook University. He received his PhD fro ...

and Mikhail Leonidovich Gromov, he is known for the Gromov–Lawson–Rosenberg conjecture. Since 2015 he has been a managing editor of the ''Annals of K-Theory''. During 2007-2015 he was an editor of the ''Journal of K-Theory''. Before that, he was an associate editor of the ''Journal of the AMS'' (2000-2003), and of the ''Proceedings of the AMS'' (1988-1992). He was a Sloan Fellow from 1981 to 1984.

Writings

*''Algebraic K-Theory and its Applications'', Graduate Texts in Mathematics, Springer Verlag 1996 *With Kevin Coombes, Ronald Lipsman: ''Multivariable calculus and Mathematica: with applications to geometry and physics'', Springer Verlag 1998 *With Joachim Cuntz, Ralf Meyer: ''Topological and bivariant K-theory'', Birkhauser 2007 *Editor Robert Doran, Greg Friedman: ''Superstrings, geometry, topology and C * algebras'', Proc. Symposia in Pure Mathematics, American Mathematical Society in 2010 (CBMS-NSF regional conference in Fort Worth 2009) *With Claude Schochet: ''The Künneth theorem and the universal coefficient theorem for equivariant K-theory and KK-theory'', Memoirs American Mathematical Society 1988 *With Claude Schochet: ''The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor''. Duke Math J. 55 (1987), no 2, 431–474. *Editor Steven C. Ferry,

Andrew Ranicki Andrew Alexander Ranicki (born Andrzej Aleksander Ranicki; 30 December 1948 – 21 February 2018) was a British mathematician who worked on algebraic topology. He was a professor of mathematics at the University of Edinburgh. Life Ranicki was ...

: ''Novikov Conjectures, Rigidity and Index Theorem'', London Mathematical Society Lecture Notes Series 226, Cambridge University Press, 1995, 2 volumes (Oberwolfach Meeting 1993) *''C*-algebras, positive scalar curvature, and the Novikov Conjecture'', Part 1, Publ Math IHES, Volume 58, 1983, pp. 197–212, Part 2, in H. Araki, Eros, EC (ed.) Geometric Methods in Operator Algebras, Pitman Research Notes in Math 123 (1986), Longman / Wiley, pp. 341, part 3, Topology 25 (1986), 319 *''C* -algebras, positive scalar curvature, and the Novikov conjecture''. Inst Hautes Etudes Sci. No Publ Math. 58 (1983), 197-212 (1984). *Editor with Sylvain Cappell, Andrew Ranicki: ''Surveys on Surgery Theory''. Papers dedicated to CTC Wall, Princeton University Press, 2 vols, 2001 *''The KO-assembly map and positive scalar curvature'', in S. Jackowski, B. Oliver, Pawalowski K. (ed.): Algebraic Topology (Poznan 1989), Lecture Notes in Math 1474 (1991), Springer-Verlag, Berlin, p 170 *With S. Stolz: ''A "stable" version of the Gromov-Lawson criterium'' in Cenkl M., Miller, H. (ed.) ''The Cech centennial: Proc. Conference on Homotopy Theory'', Contemporary Mathematics, 181, 1995, pp. 405–418 *With Elliot Gootman: ''The structure of crossed product C * -algebras. A proof of the generalized Effros-Hahn conjecture.'' Invent. Math 52 (1979), no 3, 283–298.

References

External links

Homepage

Biography
{{DEFAULTSORT:Rosenberg, Jonathan Living people 20th-century American mathematicians 21st-century American mathematicians UC Berkeley College of Letters and Science alumni University of Maryland, College Park faculty Fellows of the American Mathematical Society 1951 births People from Chicago Mathematicians from Illinois Topologists

Writings

See also

References

External links