World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
6108
World Ranking
2215
National Ranking
935

Guillaume Bal 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 Guillaume Bal 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: 254 publications — 78th percentile

78% of scientists in this discipline score the same or lower.

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

Guillaume Bal 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 Guillaume Bal 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: 39 D-Index — 41st percentile

41% 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

  • 2017 - Fellow of the American Mathematical Society For contributions to inverse problems and wave propagation in random media.
  • 2003 - Fellow of Alfred P. Sloan Foundation

Overview

Guillaume Bal is affiliated with the University of Chicago in the United States, contributing primarily to the field of Physics and Astronomy. Their research spans multiple subfields including Atomic and Molecular Physics, and Optics, Materials Chemistry, Mathematical Physics, Statistical and Nonlinear Physics, and Radiology, Nuclear Medicine and Imaging.

Their work extensively covers topics such as Topological Materials and Phenomena, Graphene research and applications, Quantum many-body systems, Spectral Theory in Mathematical Physics, Advanced Mathematical Modeling in Engineering, Nonlinear Photonic Systems, and Quantum chaos and dynamical systems.

Guillaume Bal has published numerous papers in a variety of academic venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Multiscale Modeling and Simulation
  • SIAM Journal on Mathematical Analysis
  • Communications in Partial Differential Equations
  • Inverse Problems

Recent publications include:

  • Topological invariants for interface modes, 2022, Communications in Partial Differential Equations
  • Topological charge conservation for continuous insulators, 2023, Journal of Mathematical Physics
  • Asymmetric transport computations in Dirac models of topological insulators, 2023, Journal of Computational Physics
  • Mathematical Models of Topologically Protected Transport in Twisted Bilayer Graphene, 2023, Multiscale Modeling and Simulation
  • Edge State Dynamics Along Curved Interfaces, 2023, SIAM Journal on Mathematical Analysis

Collaboration is a significant aspect of their research process. Frequent co-authors include:

  • Solomon Quinn
  • Zhongjian Wang
  • Anjali Nair
  • Jeremy G. Hoskins
  • Simon Becker

Guillaume Bal has been recognized with professional distinctions such as being named a Fellow of the American Mathematical Society in 2017 for contributions to inverse problems and wave propagation in random media. They were also awarded a Fellowship from the Alfred P. Sloan Foundation in 2003.

Best Publications

  • Inverse transport theory and applications

    Guillaume Bal

  • Inverse diffusion theory of photoacoustics

    Guillaume P. Bal;Gunther Uhlmann

  • A “Parareal” Time Discretization for Non-Linear PDE’s with Application to the Pricing of an American Put

    Guillaume Bal;Yvon Maday

  • Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer

    Kui Ren;Guillaume Bal;Andreas H. Hielscher

  • On the Convergence and the Stability of the Parareal Algorithm to Solve Partial Differential Equations

    Guillaume Bal

  • Multi-source quantitative photoacoustic tomography in a diffusive regime

    Guillaume Bal;Kui Ren

  • Hybrid inverse problems and internal functionals

    Guillaume Bal

  • Algorithm for solving the equation of radiative transfer in the frequency domain.

    Kui Ren;Gassan S. Abdoulaev;Guillaume Bal;Andreas H. Hielscher

  • On multi-spectral quantitative photoacoustic tomography in diffusive regime

    Guillaume Bal;Kui Ren

  • Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions

    Guillaume P. Bal;Gunther Uhlmann

  • Time Reversal and Refocusing in Random Media

    Guillaume Bal;Leonid Ryzhik

  • SELF-AVERAGING IN TIME REVERSAL FOR THE PARABOLIC WAVE EQUATION

    Guillaume Bal;George Papanicolaou;Leonid Ryzhik

  • Kinetics of scalar wave fields in random media

    Guillaume Bal

  • Inverse scattering and acousto-optic imaging.

    Guillaume Bal;John C. Schotland

  • Kinetic limits for waves in a random medium

    Guillaume Bal;Tomasz Komorowski;Lenya Ryzhik

  • Quantitative thermo-acoustics and related problems

    Guillaume P. Bal;Kui Ren;Gunther Uhlmann;Gunther Uhlmann;Ting Zhou

  • Stability estimates in stationary inverse transport

    Guillaume Bal;Alexandre Jollivet

  • Central Limits and Homogenization in Random Media

    Guillaume Bal

  • Random integrals and correctors in homogenization

    Guillaume Bal;Josselin Garnier;Sébastien Motsch;Vincent Perrier

  • On the attenuated Radon transform with full and partial measurements

    Guillaume Bal

  • Inverse diffusion from knowledge of power densities

    Guillaume Bal;Eric Bonnetier;François Monard;Faouzi Triki

Frequent Co-Authors

Kui Ren
Kui Ren Zhejiang University
Gunther Uhlmann
Gunther Uhlmann University of Washington
Lenya Ryzhik
Lenya Ryzhik Stanford University
George Papanicolaou
George Papanicolaou Stanford University
Anthony B. Davis
Anthony B. Davis California Institute of Technology
Andreas H. Hielscher
Andreas H. Hielscher New York University
Otmar Scherzer
Otmar Scherzer University of Vienna
Grégoire Allaire
Grégoire Allaire École Polytechnique
Josselin Garnier
Josselin Garnier École Polytechnique

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