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Bruno Nachtergaele 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 Bruno Nachtergaele 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+

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

Bruno Nachtergaele 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 Bruno Nachtergaele 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+

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

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2007 - Fellow of the American Association for the Advancement of Science (AAAS)

Overview

Bruno Nachtergaele is affiliated with the University of California, Davis in the United States. Their research spans the field of Physics and Astronomy, with a primary focus on subfields including Atomic and Molecular Physics and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics, Geometry and Topology, and Electrical and Electronic Engineering.

The scientist's work focuses on topics such as quantum many-body systems, quantum and electron transport phenomena, physics of superconductivity and magnetism, quantum chaos and dynamical systems, cold atom physics and Bose-Einstein condensates, advanced condensed matter physics, and algebraic structures and combinatorial models.

Notable recent publications by Bruno Nachtergaele include:

  • Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States, 2020, arXiv (Cornell University)
  • Spectral Gaps and Incompressibility in a = 1/3 Fractional Quantum Hall System, 2021, Communications in Mathematical Physics
  • Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems, 2024, Letters in Mathematical Physics
  • Dispersive toric code model with fusion and defusion, 2020, Physical review. B./Physical review. B

Collaborators frequently working with Bruno Nachtergaele include Amanda Young, Simone Warzel, Robert Sims, Sven Bachmann, and Siddharth Vadnerkar.

The scientist has contributed multiple papers to various publication venues, most notably:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Letters in Mathematical Physics
  • Reviews in Mathematical Physics
  • Physical review. B./Physical review. B

Bruno Nachtergaele has also authored a book titled Mathematical Results in Quantum Mechanics, which is scheduled for publication in 2025 by World Scientific.

Among professional recognitions, the scientist was named a Fellow of the American Mathematical Society in 2013 and a Fellow of the American Association for the Advancement of Science (AAAS) in 2007.

Best Publications

  • Finitely correlated states on quantum spin chains

    Mark Fannes;B Nachtergaele;Rf Werner

  • Lieb-Robinson Bounds and the Exponential Clustering Theorem

    Bruno Nachtergaele;Robert Sims

  • Propagation of Correlations in Quantum Lattice Systems

    Bruno Nachtergaele;Yoshiko Ogata;Yoshiko Ogata;Robert Sims

  • Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems

    Sven Bachmann;Spyridon Michalakis;Bruno Nachtergaele;Robert Sims

  • Geometric aspects of quantum spin states

    Michael Aizenman;Bruno Nachtergaele

  • Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

    Bruno Nachtergaele;Hillel Raz;Benjamin Schlein;Robert Sims

  • The spectral gap for some spin chains with discrete symmetry breaking

    Bruno Nachtergaele

  • The Spectral Gap of the Ferromagnetic XXZ-Chain

    Tohru Koma;Bruno Nachtergaele

  • Elementary Excitations in Gapped Quantum Spin Systems

    Jutho Haegeman;Spyridon Michalakis;Bruno Nachtergaele;Tobias J. Osborne

  • Finitely Correlated Pure States

    Mark Fannes;B Nachtergaele;Rf Werner

  • Lieb-Robinson Bounds in Quantum Many-Body Physics

    Bruno Nachtergaele;Robert Sims

  • A Multi-Dimensional Lieb-Schultz-Mattis Theorem

    Bruno Nachtergaele;Robert Sims

  • Alignment and integration of complex networks by hypergraph-based spectral clustering.

    Tom Michoel;Bruno Nachtergaele

  • Ground states of VBS models on cayley trees

    Mark Fannes;B Nachtergaele;Rf Werner

  • Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms

    Bruno Nachtergaele;Robert Sims;Amanda Young

  • The equilibrium states of the spin-boson model

    M. Fannes;B. Nachtergaele;A. Verbeure

  • Locality Estimates for Quantum Spin Systems

    Bruno Nachtergaele;Robert Sims

  • Abundance of translation invariant pure states on quantum spin chains

    Mark Fannes;B Nachtergaele;Rf Werner

  • The complete set of ground states of the ferromagnetic XXZ chains

    Tohru Koma;Bruno Nachtergaele

  • Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization

    Houssam Abdul-Rahman;Bruno Nachtergaele;Robert Sims;Günter Stolz

Frequent Co-Authors

Mark Fannes
Mark Fannes KU Leuven
Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Jan Philip Solovej
Jan Philip Solovej University of Copenhagen
Benjamin Schlein
Benjamin Schlein University of Zurich
Elliott H. Lieb
Elliott H. Lieb Princeton University
Michael Aizenman
Michael Aizenman Princeton University
Nilanjana Datta
Nilanjana Datta University of Cambridge
Frank Verstraete
Frank Verstraete Ghent University
Yves Van de Peer
Yves Van de Peer Ghent University
Matilde Marcolli
Matilde Marcolli California Institute of Technology

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