Alexander L. Rosenberg

Alexander Lvovich Rosenberg (Russian: Александр Львович Розенберг, 1946–2012)[2] was a Russian-American mathematician who worked on functional analysis, representation theory and noncommutative algebraic geometry.[3] He graduated from Lomonosov Moscow State University in 1973, left the Soviet Union around 1987, and was a professor at Kansas State University until 2012.

Alexander L. Rosenberg
Alma materLomonosov Moscow State University (Ph.D., 1973)
Known forNoncommutative algebraic geometry,
Gabriel-Rosenberg reconstruction theorem
Scientific career
InstitutionsKansas State University
Doctoral advisorYuri Manin[1]

He is known for his contributions to Tannaka duality and noncommutative algebraic geometry. He introduced several notions of spectrum for an abelian category (Rosenberg's spectrum), and the related Gabriel-Rosenberg reconstruction theorem bears his name.[4]


  • A. L. Rosenberg, Noncommutative algebraic geometry and representations of quantized algebras, MIA 330, Kluwer Academic Publishers Group, Dordrecht, 1995. xii+315 pp. ISBN 0-7923-3575-9
  • M. Kontsevich, A. Rosenberg, Noncommutative smooth spaces, The Gelfand Mathematical Seminars, 1996–1999, 85–108, Gelfand Math. Sem., Birkhäuser, Boston 2000; arXiv:math/9812158
  • A. L. Rosenberg, Noncommutative schemes, Compositio Mathematica 112 (1998) 93–125, doi; Underlying spaces of noncommutative schemes, preprint MPIM2003-111, dvi, ps; MSRI lecture Noncommutative schemes and spaces (Feb 2000): video