World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 62 479 401 24 23 277 14921
Engineering and Technology 63 1755 1669 51 49 285 15121

Martin Burger publications per year

The chart shows the history of publications by Martin Burger between 1999 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Martin Burger published across 28 years, from 1999 to 2026, averaging 13 papers a year. Output peaked at 33 publications in 2021. 16 of the 363 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1999 to 2026. Vertical axis: number of publications, 0 to 33. Peak 33 publications in 2021. 1999: 1 publication 2000: 1 publication 2001: 8 publications 2002: 7 publications 2003: 5 publications 2004: 12 publications 2005: 6 publications 2006: 9 publications 2007: 17 publications 2008: 9 publications 2009: 12 publications 2010: 13 publications 2011: 20 publications 2012: 26 publications 2013: 22 publications 2014: 18 publications 2015: 19 publications 2016: 15 publications 2017: 13 publications 2018: 8 publications 2019: 13 publications 2020: 19 publications 2021: 33 publications 2022: 5 publications 2023: 18 publications 2024: 18 publications 2025: 15 publications 2026: 1 publication
1999 2026

363 publications in total across all disciplines

View publications per year as a table
Martin Burger: publications per year, 1999 to 2026
Year Publications
1999 1
2000 1
2001 8
2002 7
2003 5
2004 12
2005 6
2006 9
2007 17
2008 9
2009 12
2010 13
2011 20
2012 26
2013 22
2014 18
2015 19
2016 15
2017 13
2018 8
2019 13
2020 19
2021 33
2022 5
2023 18
2024 18
2025 15
2026 1
Total 363
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Martin Burger publications per year - data summary

  • Martin Burger, a Mathematics scholar from University of Erlangen-Nuremberg, has 363 publications recorded across 28 years, from 1999 to 2026.
  • The oldest publication on record dates to 1999 and the most recent to 2026.
  • The most productive year is 2021, with 33 publications.
  • The least productive years with any output are 1999, 2000 and 2026, with 1 publication each.
  • The rate of publication averages 13.0 papers per year over the whole span, or 13.0 per year counting only the 28 years with at least one publication.
  • The last 5 years on the chart (2022-2026) hold 57 publications, 16% of the career total.
  • Split into equal eras - 1999-2008: 75 publications (7.5 per year); 2009-2018: 166 publications (16.6 per year); 2019-2026: 122 publications (15.3 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 277–281 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30 277
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Martin Burger publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Martin Burger, a Mathematics scholar from University of Erlangen-Nuremberg, records 277 publications - the 82nd percentile of the discipline.
  • 82% of ranked Mathematics scientists score the same or lower than Martin Burger, and about 18% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Martin Burger ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 62 D-Index, is where this scientist sits. 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: 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40 62
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

Martin Burger D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Martin Burger, a Mathematics scholar from University of Erlangen-Nuremberg, records 62 D-Index - the 87th percentile of the discipline.
  • 87% of ranked Mathematics scientists score the same or lower than Martin Burger, and about 13% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Martin Burger ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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

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