# 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 | |
---|---|

Born | 1946 |

Died | 2012 |

Alma mater | Lomonosov Moscow State University (Ph.D., 1973) |

Known for | Noncommutative algebraic geometry, Gabriel-Rosenberg reconstruction theorem |

Scientific career | |

Institutions | Kansas State University |

Doctoral advisor | Yuri 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]}

## PublicationsEdit

- 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