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Mathematics

D-Index
35
Citations
9010
World Ranking
2717
National Ranking
1113

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1991 - Fellow of Alfred P. Sloan Foundation

Overview

Ezra Getzler is affiliated with Northwestern University in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with a focus on several specialized subfields. These subfields include Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Algebra and Number Theory, and Nuclear and High Energy Physics.

Their research topics cover a variety of advanced subjects such as Homotopy and Cohomology in Algebraic Topology, Advanced Topics in Algebra, Algebraic Geometry and Number Theory, Black Holes and Theoretical Physics, Nonlinear Waves and Solitons, Nonlinear Photonic Systems, and Algebraic structures and combinatorial models.

Ezra Getzler has contributed to several notable academic publications. Recent papers include:

  • Global gauge conditions in the Batalin-Vilkovisky formalism, 2021, published in Proceedings of Symposia in Pure Mathematics
  • Batalin-Vilkovisky formality for Chern-Simons theory, 2021, published in Journal of High Energy Physics
  • Koszul duality and the Poincaré-Birkhoff-Witt theorem, 2024, published in arXiv (Cornell University)
  • Higher holonomy for curved L${}_\infty$-algebras 1: simplicial methods, 2024, published in arXiv (Cornell University)
  • Koszul duality and the Poincaré-Birkhoff-Witt theorem, 2025, published in L'Enseignement Mathématique

Their works have appeared in publication venues such as arXiv (Cornell University), Proceedings of Symposia in Pure Mathematics, Journal of High Energy Physics, and L'Enseignement Mathématique.

Ezra Getzler has collaborated with other researchers, with Sean Pohorence being a frequently noted coauthor.

Recognition for Ezra Getzler includes being named a Fellow of the American Mathematical Society in 2013 and a Fellow of the Alfred P. Sloan Foundation in 1991.

Best Publications

  • Heat Kernels and Dirac Operators

    Nicole Berline;Ezra Getzler;Michèle Vergne

  • Operads, homotopy algebra and iterated integrals for double loop spaces

    Ezra Getzler;J. D. S. Jones

  • Batalin-Vilkovisky algebras and two-dimensional topological field theories

    E. Getzler

  • Lie theory for nilpotent L∞-algebras

    Ezra Getzler

  • Lie theory for nilpotent L-infinity algebras

    Ezra Getzler

  • A SHORT PROOF OF THE LOCAL ATIYAH-SINGER INDEX THEOREM*

    Ezra Getzler

  • Modular operads

    E. Getzler;M. M. Kapranov

  • A∞ algebras and the cyclic bar complex.

    Ezra Getzler;John D.S. Jones

  • Cyclic Operads and Cyclic Homology

    E. Getzler;M.M. Kapranov

  • Pseudodifferential Operators on Supermanifolds and the Atiyah-singer Index Theorem

    Ezra Getzler

  • Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants

    Ezra Getzler;Ezra Getzler

  • Operads and Moduli Spaces of Genus 0 Riemann Surfaces

    Ezra Getzler

  • $A_{\infty}$-algebras and the cyclic bar complex

    Ezra Getzler;John D. S. Jones

  • A Darboux theorem for Hamiltonian operators in the formal calculus of variations

    Ezra Getzler

  • Differential forms on loop spaces and the cyclic bar complex

    Ezra Getzler;Ezra Getzler;Ezra Getzler;John D.S. Jones;John D.S. Jones;John D.S. Jones;Scott Petrack;Scott Petrack;Scott Petrack

  • Topological recursion relations in genus 2

    Ezra Getzler

  • The odd chern character in cyclic homology and spectral flow

    Ezra Getzler

  • The cyclic homology of crossed product algebras

    Ezra Getzler;John D.S. Jones

  • Virasoro constraints and the Chern classes of the Hodge bundle

    E. Getzler;R. Pandharipande

  • Two-dimensional topological gravity and equivariant cohomology

    E. Getzler

  • Heat Kernels and Dirac Operators: Grundlehren 298

    Nicole Berline;Ezra Getzler;Michèle Vergne

Frequent Co-Authors

Michèle Vergne
Michèle Vergne Institut de Mathématiques de Jussieu
Mikhail Kapranov
Mikhail Kapranov Kavli Institute for the Physics and Mathematics of the Universe
Andrei Okounkov
Andrei Okounkov Columbia University
Eduard Looijenga
Eduard Looijenga Utrecht University

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