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Mathematics

D-Index
42
Citations
9165
World Ranking
1766
National Ranking
759

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1967 - Fellow of Alfred P. Sloan Foundation

Overview

Jim Stasheff is affiliated with the University of Pennsylvania in the United States and has contributed extensively to the field of mathematics, with a primary focus on areas intersecting algebra, topology, and mathematical physics. Their research spans across multiple subfields, notably Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Nuclear and High Energy Physics, and Statistical and Nonlinear Physics.

Stasheff's work prominently engages with topics such as:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Black Holes and Theoretical Physics
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Noncommutative and Quantum Gravity Theories

Among recent papers associated with the research circle around Stasheff's work are:

  • From Lie algebra crossed modules to tensor hierarchies, 2022, Journal of Pure and Applied Algebra
  • The Resurgence of L∞ structures in field theory, 2021, Differential Geometry and its Applications
  • Homotopy Coherent Representations, 2022, Symmetry
  • From Lie algebra crossed modules to tensor hierarchies, 2020, arXiv (Cornell University)
  • Corrigendum to "From Lie algebra crossed modules to tensor hierarchies" [J. Pure Appl. Algebra 227 (6) (2023) 107311], 2023, Journal of Pure and Applied Algebra

Stasheff has collaborated frequently with several researchers, including:

  • Tom Lada
  • Timothy Porter
  • Sylvain Lavau
  • И.В. Асташова
  • V. A. Vassiliev

Their publications appear regularly in respected venues such as UNC Libraries, arXiv (Cornell University), Journal of Pure and Applied Algebra, Differential Geometry and its Applications, and Symmetry.

Throughout a career marked by academic distinction, Jim Stasheff has been recognized as a Fellow of the American Mathematical Society since 2013 and was a Fellow of the Alfred P. Sloan Foundation beginning in 1967.

Best Publications

  • Introduction to SH Lie algebras for physicists

    Tom Lada;Jim Stasheff

  • Operads in algebra, topology, and physics

    Martin Markl;Steven Shnider;James Stasheff

  • The Lie algebra structure of tangent cohomology and deformation theory

    Michael Schlessinger;James Stasheff

  • Obstructions to homotopy equivalences

    Stephen Halperin;James Stasheff

  • H-Spaces from a Homotopy Point of View

    James Stasheff

  • Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts

    Jean Fisch;Marc Henneaux;James Stasheff;Claudio Teitelboim

  • Perturbation Theory in Dierential Homological Algebra II

    Unknown

  • A classification theorem for fibre spaces

    James Stasheff

  • On operad structures of moduli spaces and string theory

    Takashi Kimura;Takashi Kimura;Jim Stasheff;Alexander A. Voronov;Alexander A. Voronov

  • The intrinsic bracket on the deformation complex of an associative algebra

    Jim Stasheff

  • Homotopy Algebras Inspired by Classical Open-Closed String Field Theory

    Hiroshige Kajiura;Jim Stasheff

  • Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map

    Bernard Grossman;Thomas W. Kephart;James D. Stasheff

  • On the de Rham theory of certain classifying spaces

    R Bott;H Shulman;J Stasheff

  • Twisted Differential String and Fivebrane Structures

    Hisham Sati;Hisham Sati;Urs Schreiber;Urs Schreiber;Jim Stasheff

  • L-infinity algebra connections and applications to String- and Chern-Simons n-transport

    Hisham Sati;Urs Schreiber;Jim Stasheff

  • L ∞ -Algebra Connections and Applications to String- and Chern-Simons n-Transport

    Hisham Sati;Urs Schreiber;Jim Stasheff

  • Čech cocycles for differential characteristic classes: an ∞-Lie theoretic construction

    Domenico Fiorenza;Urs Schreiber;Jim Stasheff

  • Homological reduction of constrained Poisson algebras

    Jim Stasheff

  • Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras

    Jim Stasheff

  • Deformation theory and rational homotopy type

    Mike Schlessinger;Jim Stasheff

  • sh-Lie algebras induced by gauge transformations

    Ron Fulp;Tom Lada;Jim Stasheff

Frequent Co-Authors

Folkert Müller-Hoissen
Folkert Müller-Hoissen Max Planck Institute for Dynamics and Self-Organization
Jean-Louis Loday
Jean-Louis Loday University of Strasbourg
Marc Henneaux
Marc Henneaux Collège de France
Stephen Halperin
Stephen Halperin University of Maryland, College Park

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