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Victor Guillemin

Victor Guillemin

D-Index & Metrics

Mathematics

D-Index
67
Citations
21861
World Ranking
331
National Ranking
183

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1988 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1985 - Member of the National Academy of Sciences
  • 1983 - Fellow of the American Academy of Arts and Sciences
  • 1969 - Fellow of Alfred P. Sloan Foundation
  • 1934 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Victor Guillemin is affiliated with MIT in the United States and has a research focus primarily in the fields of Mathematics and Physics and Astronomy. Their work spans multiple subfields, including Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Applied Mathematics, and Atomic and Molecular Physics, and Optics.

The main topics covered in Victor Guillemin's research include Quantum chaos and dynamical systems, Spectral Theory in Mathematical Physics, Homotopy and Cohomology in Algebraic Topology, Mathematical Analysis and Transform Methods, Geometry and complex manifolds, Advanced Algebra and Geometry, and Algebraic structures and combinatorial models.

Recent papers authored by Victor Guillemin include:

  • On geometric quantization of bm-symplectic manifolds, 2020, Mathematische Zeitschrift
  • Integral representations of isotropic semiclassical functions and applications, 2022, Journal of Spectral Theory
  • Beyond cohomological assignments, 2020, Advances in Mathematics
  • Inverse spectral results for non-abelian group actions, 2020, arXiv (Cornell University)

Victor Guillemin has also contributed as a co-author to a memorial article in Notices of the American Mathematical Society:

  • Isadore M. Singer (1924-2021) In Memoriam Part 2: Personal Recollections, 2022

Frequent co-authors in their research include Zuoqin Wang, Alejandro Uribe, Eva Miranda, Jonathan Weitsman, and Robert L. Bryant.

Victor Guillemin's publications appear frequently in venues such as arXiv (Cornell University), Mathematische Zeitschrift, Journal of Spectral Theory, Notices of the American Mathematical Society, and Advances in Mathematics.

The scientist has been recognized with fellowships and memberships from various prestigious organizations, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (1988)
  • Member of the National Academy of Sciences (1985)
  • Fellow of the American Academy of Arts and Sciences (1983)
  • Fellow of Alfred P. Sloan Foundation (1969)
  • Fellow of the American Association for the Advancement of Science (AAAS) (1934)

Best Publications

  • Stable mappings and their singularities

    Martin Golubitsky;Victor Guillemin

  • Symplectic Techniques in Physics

    Victor Guillemin;Shlomo Sternberg

  • Convexity properties of the moment mapping. II

    V. Guillemin;S. Sternberg

  • The spectrum of positive elliptic operators and periodic bicharacteristics

    J. J. Duistermaat;V. W. Guillemin

  • Geometric Quantization and Multiplicities of Group Representations.

    V. Guillemin;S. Sternberg

  • Geometric Asymptotics, Revised edition

    V. Guillemin;S. Sternberg

  • The spectral theory of Toeplitz operators

    L. Boutet de Monvel;V. Guillemin

  • Supersymmetry and equivariant de Rham theory

    V. Guillemin;Shlomo Sternberg

  • Kaehler structures on toric varieties

    Victor Guillemin

  • Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces

    Victor Guillemin

  • A New Proof of Weyl's Formula on the Asymptotic Distribution of Eigenvalues

    Victor Guillemin

  • Moment Maps, Cobordisms, and Hamiltonian Group Actions

    Victor Guillemin;Viktor L. Ginzburg;Yael Karshon

  • Some inverse spectral results for negatively curved 2-manifolds

    V. Guillemin;D. Kazhdan

  • Symplectic fibrations and multiplicity diagrams

    Victor Guillemin;Eugene Lerman;Shlomo Sternberg

  • An algebraic model of transitive differential geometry

    Victor W. Guillemin;Shlomo Sternberg

  • The Gelfand-Cetlin system and quantization of the complex flag manifolds

    V Guillemin;S Sternberg

  • Birational equivalence in the symplectic category

    V. Guillemin;S. Sternberg

  • The moment map and collective motion

    Victor Guillemin;Shlomo Sternberg

  • Symplectic and Poisson geometry on b-manifolds

    Victor W Guillemin;Eva Miranda;Ana Rita Pissarra Pires

  • Some Problems in Integral Geometry and Some Related Problems in Micro-Local Analysis

    Victor Guillemin;Shlomo Sternberg

  • Symplectic Fibrations and Multiplicity Diagrams: Symplectic Fibrations

    Victor Guillemin;Eugene Lerman;Shlomo Sternberg

Frequent Co-Authors

Shlomo Sternberg
Shlomo Sternberg Harvard University
Martin Golubitsky
Martin Golubitsky The Ohio State University
Gang Tian
Gang Tian Peking University
Gunther Uhlmann
Gunther Uhlmann University of Washington
Lars Hörmander
Lars Hörmander Lund University
Alan Weinstein
Alan Weinstein University of California, Berkeley

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