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Mathematics

D-Index
50
Citations
10505
World Ranking
1080
National Ranking
501

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2002 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1988 - Fellow of Alfred P. Sloan Foundation

Overview

Daniel S. Freed is a researcher affiliated with The University of Texas at Austin in the United States, contributing extensively to the fields of mathematics and physics. Their work spans multiple subfields, with a particular focus on mathematical physics, geometry and topology, and nuclear and high energy physics.

The scientist's research encompasses a range of topics, including:

  • Homotopy and cohomology in algebraic topology
  • Black holes and theoretical physics
  • Advanced operator algebra research
  • Algebraic structures and combinatorial models
  • Advanced topics in algebra
  • Topological and geometric data analysis
  • Geometric and algebraic topology

Frequent coauthors in their research include Constantin Teleman, Clay Córdova, Gregory W. Moore, Michael J. Hopkins, and Andrew Neitzke.

Their publication record includes papers in prominent venues, with frequent contributions to:

  • arXiv (Cornell University)
  • SciPost Physics
  • Bulletin of the American Mathematical Society
  • Quantum Topology
  • Geometry & Topology

Recent papers by Daniel S. Freed include:

  • "Anomalies in the space of coupling constants and their dynamical applications II" (2020, SciPost Physics)
  • "Anomalies in the space of coupling constants and their dynamical applications I" (2020, SciPost Physics)
  • "Topological symmetry in quantum field theory" (2022, arXiv (Cornell University))
  • "Topological symmetry in quantum field theory" (2024, Quantum Topology)
  • "The Atiyah-Singer index theorem" (2021, Bulletin of the American Mathematical Society)

In addition to articles, they have contributed to book publications, including a work published by the IAS/Park City mathematics series titled "Quantum Field Theory and Manifold Invariants" in 2021.

Throughout their career, Daniel S. Freed has received recognition in the form of fellowships, including:

  • Fellow of the American Mathematical Society (2013)
  • Fellow of John Simon Guggenheim Memorial Foundation (2002)
  • Fellow of Alfred P. Sloan Foundation (1988)

Best Publications

  • Instantons and Four-Manifolds

    Daniel S. Freed;Karen K. Uhlenbeck

  • Anomalies in string theory with D-branes

    Daniel S. Freed;Edward Witten

  • The analysis of elliptic families. II. Dirac operators, eta invariants, and the holonomy theorem

    Jean Michel Bismut;Daniel S Freed

  • Special Kähler Manifolds

    Daniel S. Freed

  • The analysis of elliptic families. I. Metrics and connections on determinant bundles

    Jean Michel Bismut;Daniel S Freed

  • Reflection positivity and invertible topological phases

    Daniel S. Freed;Michael J. Hopkins

  • Chern-Simons theory with finite gauge group

    Daniel S. Freed;Frank Quinn

  • Twisted equivariant matter

    Daniel S. Freed;Gregory W. Moore

  • Gravitational anomaly cancellation for M-theory fivebranes

    Daniel S Freed;Jeffrey A. Harvey;Ruben Minasian;Gregory Moore

  • η‐invariants and determinant lines

    Xianzhe Dai;Daniel S. Freed

  • Computer calculation of Witten's $3$-manifold invariant

    Daniel S. Freed;Robert E. Gompf

  • Relative quantum field theory

    Daniel S. Freed;Constantin Teleman

  • Heisenberg groups and noncommutative fluxes

    Daniel S. Freed;Gregory W. Moore;Graeme Segal

  • Classical Chern-Simons Theory, 1

    Daniel S. Freed

  • Higher algebraic structures and quantization

    Daniel S. Freed

  • Loop groups and twisted K-theory I

    Daniel S. Freed;Michael J. Hopkins;Constantin Teleman

  • Dirac charge quantization and generalized differential cohomology

    D. S. Freed

  • Determinants, torsion, and strings

    Daniel S. Freed

  • Five Lectures on Supersymmetry

    Daniel S Freed

  • Setting the Quantum Integrand of M-Theory

    Daniel S. Freed;Gregory W. Moore

  • CLASSICAL CHERN-SIMONS THEORY, PART 2

    Daniel S. Freed

Frequent Co-Authors

Michael J. Hopkins
Michael J. Hopkins Harvard University
Gregory W. Moore
Gregory W. Moore Rutgers, The State University of New Jersey
Karen Uhlenbeck
Karen Uhlenbeck The University of Texas at Austin
Jean-Michel Bismut
Jean-Michel Bismut University of Paris-Saclay
Graeme B. Segal
Graeme B. Segal University of Oxford
Cumrun Vafa
Cumrun Vafa Harvard University
David R. Morrison
David R. Morrison University of California, Santa Barbara
Edward Witten
Edward Witten Institute for Advanced Study
John Lott
John Lott University of California, Berkeley

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