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D-Index & Metrics

Mathematics

D-Index
50
Citations
10505
World Ranking
1080
National Ranking
502

Daniel S. Freed publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Daniel S. Freed sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 101 publications — 11th percentile

11% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Daniel S. Freed D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Daniel S. Freed sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 50 D-Index — 71st percentile

71% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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