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Mathematics

D-Index
39
Citations
8954
World Ranking
2146
National Ranking
131

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1998 - Fellow of the American Academy of Arts and Sciences
  • 1997 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences
  • 1997 - Academie des sciences, France

Overview

Michèle Vergne is affiliated with the Institut de Mathématiques de Jussieu in France. Their research spans primarily the field of Mathematics, with a focus on subfields including Mathematical Physics, Geometry and Topology, Algebra and Number Theory, and Discrete Mathematics and Combinatorics.

Their scholarly work covers a range of main topics such as Advanced Algebra and Geometry, Algebraic Structures and Combinatorial Models, Advanced Combinatorial Mathematics, Advanced Operator Algebra Research, Homotopy and Cohomology in Algebraic Topology, Commutative Algebra and Its Applications, and Geometry and Complex Manifolds.

Among recent publications authored or coauthored by Michèle Vergne are the following papers:

  • "Horn conditions for quiver subrepresentations and the moment map," 2023, Pure and Applied Mathematics Quarterly
  • "Bouquets revisited and equivariant elliptic cohomology," 2021, International Journal of Mathematics
  • "Moment cone membership for quivers in strongly polynomial time," 2023, arXiv (Cornell University)
  • "Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization," 2020, Indagationes Mathematicae
  • "Tensor product of holomorphic discrete series representations of U(p,q) and quivers," 2023, arXiv (Cornell University)

Frequently publishing venues include:

  • arXiv (Cornell University)
  • Pure and Applied Mathematics Quarterly
  • International Journal of Mathematics
  • Indagationes Mathematicae

Collaborations are a notable part of their research activities. Frequent coauthors include:

  • Velleda Baldoni
  • Michael Walter
  • Yiannis Loizides
  • Paul-Émile Paradan

Michèle Vergne has been recognized by several awards, reflecting their involvement in the mathematical community. These accolades include:

  • Fellow of the American Mathematical Society, 2013
  • Fellow of the American Academy of Arts and Sciences, 1998
  • Member of the Academie des sciences, France, 1997
  • Ampère Prize (Prix Ampère de l'Électricité de France), French Academy of Sciences, 1997

Best Publications

  • Heat Kernels and Dirac Operators

    Nicole Berline;Ezra Getzler;Michèle Vergne

  • On the Segal-Shale-Weil representations and harmonic polynomials

    M. Kashiwara;M. Kashiwara;M. Vergne;M. Vergne

  • Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

    Michele Vergne

  • The Weil representation, Maslov index and Theta series

    Gerard Lion;Michèle Vergne

  • Zeros d’un champ de vecteurs et classes caracteristiques equivariantes

    Nicole Berline;Michèle Vergne

  • Analytic continuation of the holomorphic discrete series of a semi-simple Lie group

    Unknown

  • Residue formulae, vector partition functions and lattice points in rational polytopes

    Unknown

  • Wave and Dirac operators, and representations of the conformal group

    Hans Plesner Jakobsen;Hans Plesner Jakobsen;Michele Vergne

  • Toric reduction and a conjecture of Batyrev and Materov

    András Szenes;Michèle Vergne

  • An equivariant Riemann-Roch theorem for complete, simplicial toric varieties.

    Michel Brion;Michèle Vergne

  • Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue

    Michel Brion;Michèle Vergne

  • Lattice points in simple polytopes

    Unknown

  • Restrictions and Expansions of Holomorphic Representations

    Hans Plesner Jakobsen;Michele Vergne

  • Residue formulae for vector partitions and Euler-MacLaurin sums

    András Szenes;Michèle Vergne

  • Heat Kernels and Dirac Operators: Grundlehren 298

    Nicole Berline;Ezra Getzler;Michèle Vergne

  • La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente

    Michele Vergne

  • How to Integrate a Polynomial over a Simplex

    Velleda Baldoni;Nicole Berline;Jesús A. De Loera;Matthias Köppe

  • The Campbell-Hausdorff Formula and Invariant Hyperfunctions.

    Masaki Kashiwara;Michèle Vergne

  • Local Euler-Maclaurin formula for polytopes

    Nicole Berline;Michèle Vergne

  • Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the ap

    Unknown

  • The Equivariant Index and Kirillov's Character Formula

    Nicole Berline;Michele Vergne

  • Projection d'orbites, formule de Kirillov et formule de Blattner

    Michel Duflo;Gerrit Heckman;Michele Vergne

  • Arrangements of hyperplanes I: Rational functions and Jeffrey-Kirwan residue

    Michel Brion;Michele Vergne

  • Modular forms of weight 1/2

    Gérard Lion;Michèle Vergne

Frequent Co-Authors

Claudio Procesi
Claudio Procesi Sapienza University of Rome
Jesús A. De Loera
Jesús A. De Loera University of California, Davis
Masaki Kashiwara
Masaki Kashiwara Kyoto University
Ezra Getzler
Ezra Getzler Northwestern University
Jonathan Rosenberg
Jonathan Rosenberg University of Maryland, College Park

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