World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
62
Citations
14921
World Ranking
479
National Ranking
24

Engineering and Technology

D-Index
63
Citations
15121
World Ranking
1753
National Ranking
52

Martin Burger 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 Martin Burger 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: 277 publications — 82nd percentile

82% of scientists in this discipline score the same or lower.

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

Martin Burger 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 Martin Burger 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: 62 D-Index — 87th percentile

87% of scientists in this discipline score the same or lower.

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

Overview

Martin Burger is affiliated with the University of Erlangen-Nuremberg in Germany and focuses on research that intersects mathematics and computer science. Their work spans 83 publications in mathematics and 47 in computer science, reflecting a broad interdisciplinary approach.

The scientist's research emphasizes several subfields, including:

  • Mathematical Physics
  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Artificial Intelligence

Key research topics addressed include:

  • Numerical methods in inverse problems
  • Mathematical Biology Tumor Growth
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Sparse and Compressive Sensing Techniques
  • Medical Imaging Techniques and Applications
  • Geometric Analysis and Curvature Flows

Martin Burger has co-authored frequently with several researchers, including:

  • Jan-Frederik Pietschmann (10 collaborations)
  • Maria Bruna (9 collaborations)
  • Daniel Tenbrinck (9 collaborations)
  • Tim Roith (9 collaborations)
  • Leon Bungert (7 collaborations)

Their work has been published repeatedly in a range of venues. Notable publication venues include:

  • arXiv (Cornell University) - 35 publications
  • European Journal of Applied Mathematics - 5 publications
  • Nonlinear Analysis - 3 publications
  • SIAM Journal on Applied Mathematics - 3 publications
  • Kinetic and Related Models - 3 publications

Among recent papers, important contributions include:

  • "Delayed blow-up for chemotaxis models with local sensing," 2020, Journal of the London Mathematical Society
  • "Porous medium equation and cross-diffusion systems as limit of nonlocal interaction," 2023, Nonlinear Analysis
  • "Segregation effects and gap formation in cross-diffusion models," 2020, Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
  • "Optical flow analysis reveals that Kinesin-mediated advection impacts the orientation of microtubules in the Drosophila oocyte," 2020, Molecular Biology of the Cell
  • "Phase Separation in Systems of Interacting Active Brownian Particles," 2022, SIAM Journal on Applied Mathematics

Best Publications

  • An Iterative Regularization Method for Total Variation-Based Image Restoration

    Stanley J. Osher;Martin Burger;Donald Goldfarb;Jinjun Xu

  • Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction

    Xiaoqun Zhang;Martin Burger;Xavier Bresson;Stanley Osher

  • A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration

    Xiaoqun Zhang;Martin Burger;Stanley Osher

  • Incorporating topological derivatives into level set methods

    Martin Burger;Benjamin Hackl;Wolfgang Ring

  • Convergence rates of convex variational regularization

    Martin Burger;Stanley Osher

  • Modern Regularization Methods for Inverse Problems

    Martin Benning;Martin Burger

  • A survey on level set methods for inverse problems and optimal design

    Martin Burger;Stanley J. Osher

  • A framework for the construction of level set methods for shape optimization and reconstruction

    Martin Burger

  • Phase-Field Relaxation of Topology Optimization with Local Stress Constraints

    Martin Burger;Roman Stainko

  • Nonlinear inverse scale space methods

    Martin Burger;Guy Gilboa;Stanley Osher;Jinjun Xu

  • Shape from Defocus via Diffusion

    P. Favaro;S. Soatto;M. Burger;S.J. Osher

  • A level set method for inverse problems

    Martin Burger

  • On an aggregation model with long and short range interactions

    Martin Burger;Vincenzo Capasso;Daniela Morale

  • Cahn-Hilliard Inpainting and a Generalization for Grayvalue Images

    Martin Burger;Lin He;Carola-Bibiane Schönlieb

  • A Hyperelastic Regularization Energy for Image Registration

    Martin Burger;Jan Modersitzki;Lars Ruthotto

  • Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration

    F. Gigengack;L. Ruthotto;M. Burger;C. H. Wolters

  • The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion

    Martin Burger;Marco Di Francesco;Yasmin Dolak‐Struss

  • Nonlinear cross-diffusion with size exclusion

    Martin Burger;Marco Di Francesco;Jan-Frederik Pietschmann;Bärbel Schlake

  • A Guide to the TV Zoo

    Martin Burger;Stanley Osher

  • Mean field games with nonlinear mobilities in pedestrian dynamics

    Martin Burger;Marco Di Francesco;Peter A. Markowich;Marie Therese Wolfram

  • Iterative Solution Methods.

    Martin Burger;Barbara Kaltenbacher;Andreas Neubauer

Frequent Co-Authors

Carola-Bibiane Schönlieb
Carola-Bibiane Schönlieb University of Cambridge
Stanley Osher
Stanley Osher University of California, Los Angeles
Carsten H. Wolters
Carsten H. Wolters University of Münster
Xiaoyi Jiang
Xiaoyi Jiang University of Münster
Heinz W. Engl
Heinz W. Engl University of Vienna
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
José A. Carrillo
José A. Carrillo University of Oxford
Axel Voigt
Axel Voigt TU Dresden
Eli Yablonovitch
Eli Yablonovitch University of California, Berkeley
Zuzanna S. Siwy
Zuzanna S. Siwy University of California, Irvine

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in expanding their skill set beyond pure mathematics, pursuing related online degrees can open diverse career opportunities. Many professionals gravitate toward business-focused programs, such as the 1 year mba programs, which offer accelerated routes to management positions without sacrificing rigor.

Transferring credits from previous coursework is often a concern for students considering online MBAs. Fortunately, several flexible options exist, including programs listed among the online mba accepting transfer credits, helping learners save time and reduce costs while advancing their education.

Data analytics is another closely related field that appeals to math graduates looking to apply quantitative skills in business and technology sectors. Pursuing a masters data analytics degree provides specialized training in interpreting complex data to drive decision-making.

For those seeking accessible entry into management studies, exploring the easiest mba program to get into can be strategic, offering a balanced approach to gaining credentials with less competitive admissions criteria.

Best Scientists Citing Martin Burger

Trending Scientists

Recently Published Articles