World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
8398
World Ranking
1581
National Ranking
682

Michael Loss 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 Michael Loss 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: 82 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: 140 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

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

Michael Loss 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 Michael Loss 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: 137 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: 44 D-Index — 58th percentile

58% 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

Overview

Michael Loss is affiliated with the Georgia Institute of Technology in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions in several specialized subfields.

The main subfields of study for this scientist include:

  • Mathematical Physics
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics
  • Computational Theory and Mathematics

The core research topics addressed in their work are:

  • Spectral Theory in Mathematical Physics
  • Advanced Thermodynamics and Statistical Mechanics
  • Advanced Mathematical Physics Problems
  • Numerical methods in inverse problems
  • Quantum Mechanics and Non-Hermitian Physics
  • Matrix Theory and Algorithms
  • Mathematical Inequalities and Applications

Michael Loss has published extensively in several venues. Frequent publication outlets include:

  • arXiv (Cornell University)
  • Annales Henri Poincaré
  • Cambridge Journal of Mathematics
  • Journal für die reine und angewandte Mathematik (Crelles Journal)
  • International Mathematics Research Notices

Notable recent papers by this scientist are:

  • "Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence," 2025, Cambridge Journal of Mathematics
  • "Which magnetic fields support a zero mode?", 2022, Journal für die reine und angewandte Mathematik (Crelles Journal)
  • "On the Convolution Inequality f ≥ f ⋆ f", 2020, International Mathematics Research Notices
  • "Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence," 2022, arXiv (Cornell University)
  • "A sharp criterion for zero modes of the Dirac equation," 2024, Journal of the European Mathematical Society

The research collaborations of Michael Loss include frequent coauthors such as:

  • Rupert L. Frank
  • Eric A. Carlen
  • Jean Dolbeault
  • Maria J. Esteban

Michael Loss was awarded the distinction of Fellow of the American Mathematical Society in 2013.

Best Publications

  • Analysis, Second edition

    Elliott Lieb;Michael Loss

  • Ground states in non-relativistic quantum electrodynamics

    Marcel Griesemer;Elliott H. Lieb;Michael Loss

  • Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn

    Eric Carlen;M. Loss

  • Stability of Coulomb Systems with Magnetic Fields

    Jiirg Frohlich;Elliott H. Lieb;Michael Loss

  • Stability of Coulomb systems with magnetic fields. I. The one-electron atom

    Jürg Fröhlich;Elliott H. Lieb;Michael Loss

  • A Sharp analog of Young's Inequality on $S^N$ and Related Entropy Inequalities

    Eric Carlen;Elliott Lieb;Michael Loss

  • Extremals of functionals with competing symmetries

    Eric A Carlen;Michael Loss

  • Stability of Coulomb systems with magnetic fields. III: Zero energy bound states of the Pauli operator

    Michael Loss;Horng-Tzer Yau

  • Sharp constant in Nash's inequality

    Eric A. Carlen;Michael Loss

  • Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics

    Elliott H. Lieb;Michael Loss

  • Determination of the spectral gap for Kac's master equation and related stochastic evolution

    Eric Carlen;M. C. Carvalho;M. Loss

  • Entropy and chaos in the Kac model

    Eric A. Carlen;Maria C. Carvalho;Jonathan Le Roux;Michael Loss

  • The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

    Rafael D. Benguria;Rupert L. Frank;Michael Loss

  • Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the $2$-D Navier-Stokes equation

    Eric A. Carlen;Michael Loss

  • Fluxes, Laplacians, and Kasteleyn’s theorem

    Elliott H. Lieb;Michael Loss

  • There Are No Unfilled Shells in Unrestricted Hartree-Fock Theory

    Volker Bach;Elliott H. Lieb;Michael Loss;Jan Philip Solovej

  • Stability of matter in magnetic fields.

    Elliott H. Lieb;Michael Loss;Jan Philip Solovej

  • Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

    Jean Dolbeault;Maria J. Esteban;Michael Loss

  • Hardy inequalities for fractional integrals on general domains

    Michael Loss;Craig Sloane

  • Stability of Coulomb Systems with Magnetic Fields II. The Many-Electron Atom and the One-Electron Molecule

    Elliott H. Lieb;Michael Loss

  • Ground States in Non-relativistic Quantum Electrodynamics

    Marcel Griesemer;Elliott H. Lieb;Michael Loss

  • Entropy and chaos in the Kac model

    E. A. Carlen;M. C. Carvalho;J. Le Roux;M. Loss

Frequent Co-Authors

Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Maria J. Esteban
Maria J. Esteban Paris Dauphine University
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Elliott H. Lieb
Elliott H. Lieb Princeton University
Evans M. Harrell
Evans M. Harrell Georgia Institute of Technology
Rupert L. Frank
Rupert L. Frank California Institute of Technology
Jeffrey S. Geronimo
Jeffrey S. Geronimo Georgia Institute of Technology
Pavel Exner
Pavel Exner Czech Technical University in Prague
Herbert Spohn
Herbert Spohn Technical University of Munich
Patricio Felmer
Patricio Felmer University of Chile

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