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 39 2120 1869 897 742 142 14209
Engineering and Technology 39 7492 7230 2040 1894 140 16320

Michael Holst publications per year

The chart shows the history of publications by Michael Holst between 1993 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Michael Holst published across 33 years, from 1993 to 2025, averaging 4.9 papers a year. Output peaked at 17 publications in 2012. 1 of the 161 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1993 to 2025. Vertical axis: number of publications, 0 to 17. Peak 17 publications in 2012. 1993: 3 publications 1994: 2 publications 1995: 1 publication 1996: 2 publications 1997: 3 publications 1998: 0 publications 1999: 0 publications 2000: 4 publications 2001: 7 publications 2002: 1 publication 2003: 4 publications 2004: 1 publication 2005: 4 publications 2006: 1 publication 2007: 6 publications 2008: 11 publications 2009: 7 publications 2010: 12 publications 2011: 10 publications 2012: 17 publications 2013: 13 publications 2014: 4 publications 2015: 6 publications 2016: 2 publications 2017: 8 publications 2018: 7 publications 2019: 7 publications 2020: 8 publications 2021: 4 publications 2022: 3 publications 2023: 2 publications 2024: 0 publications 2025: 1 publication
1993 2025

161 publications in total across all disciplines

View publications per year as a table
Michael Holst: publications per year, 1993 to 2025
Year Publications
1993 3
1994 2
1995 1
1996 2
1997 3
1998 0
1999 0
2000 4
2001 7
2002 1
2003 4
2004 1
2005 4
2006 1
2007 6
2008 11
2009 7
2010 12
2011 10
2012 17
2013 13
2014 4
2015 6
2016 2
2017 8
2018 7
2019 7
2020 8
2021 4
2022 3
2023 2
2024 0
2025 1
Total 161
Download as CSV

Michael Holst 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 Holst 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, 142–146 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: 142 publications — 34th percentile

34% 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
142–146 112 142
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
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
Download as CSV

Michael Holst 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 Holst 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, 39 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: 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.

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 39
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
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

Research.com Recognitions

  • 2016 - SIAM Fellow For contributions to computational biology, numerical relativity, and scientific computation.
  • 1999 - Hellman Fellow

Overview

Michael Holst is affiliated with the University of California, San Diego in the United States. Their research spans multiple fields including Mathematics, Biochemistry, Genetics and Molecular Biology, and Engineering. The main areas of study focus on applied mathematics, molecular biology, computational mechanics, biophysics, and mathematical physics.

Their notable research topics include:

  • Advanced Mathematical Physics Problems
  • Advanced Harmonic Analysis Research
  • Lipid Membrane Structure and Behavior
  • RNA Interference and Gene Delivery
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Nonlinear Partial Differential Equations

Holst has published extensively in several scientific journals, with frequent publication venues as follows:

  • Biophysical Journal
  • arXiv (Cornell University)
  • PLoS Computational Biology
  • Arkiv för matematik
  • Bulletin of Mathematical Biology

Recent papers authored or co-authored by Michael Holst include:

  • 3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries, 2020, PLoS Computational Biology
  • Multiplication in Sobolev spaces, revisited, 2021, Arkiv för matematik
  • An Open-Source Mesh Generation Platform for Biophysical Modeling Using Realistic Cellular Geometries, 2020, Biophysical Journal
  • Stability Analysis of a Bulk-Surface Reaction Model for Membrane Protein Clustering, 2020, Bulletin of Mathematical Biology
  • Local sensitivity analysis of the "membrane shape equation" derived from the Helfrich energy, 2020, Mathematics and Mechanics of Solids

Frequent co-authors of Holst include:

  • Padmini Rangamani
  • Christopher T. Lee
  • A. Behzadan
  • Justin G. Laughlin
  • Martin W. Licht

Throughout their career, Michael Holst has been recognized with several awards including the Hellman Fellowship awarded in 1999. In 2016, they were named a SIAM Fellow for contributions to computational biology, numerical relativity, and scientific computation.

Best Publications

  • Electrostatics of nanosystems: Application to microtubules and the ribosome

    Nathan A. Baker;David Sept;Simpson Joseph;Michael J. Holst

  • Improvements to the APBS biomolecular solvation software suite.

    Elizabeth Jurrus;Dave Engel;Keith Star;Kyle Monson

  • Multigrid solution of the Poisson-Boltzmann equation

    Michael Holst;Faisal Saied

  • Adaptive multilevel finite element solution of the Poisson–Boltzmann equation I. Algorithms and examples

    Michael J. Holst;Nathan A. Baker;Feng Wang

  • Numerical solution of the nonlinear Poisson–Boltzmann equation: Developing more robust and efficient methods

    Michael J. Holst;Faisal Saied

  • Three-dimensional electron microscopy reveals new details of membrane systems for Ca2+ signaling in the heart.

    Takeharu Hayashi;Maryann E. Martone;Zeyun Yu;Andrea Thor

  • A New Paradigm for Parallel Adaptive Meshing Algorithms

    Randolph E. Bank;Michael Holst

  • Adaptive multilevel finite element solution of the Poisson–Boltzmann equation II. Refinement at solvent‐accessible surfaces in biomolecular systems

    N. Baker;M. Holst;F. Wang

  • The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation

    Long Chen;Long Chen;Michael J. Holst;Jinchao Xu

  • Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions

    Benzhuo Lu;Michael J. Holst;J. Andrew McCammon;Y. C. Zhou

  • Adaptive Numerical Treatment of Elliptic Systems on Manifolds

    Michael J. Holst

  • The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers

    N. A. Baker;D. Sept;M. J. Holst;J. A. McCammon

  • Treatment of electrostatic effects in proteins: multigrid-based Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation.

    Michael Holst;Richard E. Kozack;Faisal Saied;Shankar Subramaniam

  • Feature-preserving adaptive mesh generation for molecular shape modeling and simulation

    Zeyun Yu;Michael J. Holst;Yuhui Cheng;J.Andrew McCammon

  • Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions

    Michael Holst;Gabriel Nagy;Gantumur Tsogtgerel

  • Convergence and Optimality of Adaptive Mixed Finite Element Methods

    Long Chen;Michael J. Holst;Jinchao Xu

  • Efficient mesh optimization schemes based on Optimal Delaunay Triangulations

    Long Chen;Michael Holst

  • Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution.

    Benzhuo Lu;Y. C. Zhou;Gary A. Huber;Stephen D. Bond

  • Modelling cardiac calcium sparks in a three-dimensional reconstruction of a calcium release unit

    Johan Hake;Johan Hake;Andrew G. Edwards;Zeyun Yu;Peter M. Kekenes-Huskey

  • Multilevel methods for the Poisson-Boltzmann equation

    Michael Jay Holst

  • RecentProgress in NumericalMethods forthePoisson- Boltzmann Equation in Biophysical Applications

    B. Z. Lu;Y. C. Zhou;M. J. Holst;J. A. McCammon

Frequent Co-Authors

J. Andrew McCammon
J. Andrew McCammon University of California, San Diego
Nathan A. Baker
Nathan A. Baker Pacific Northwest National Laboratory
Andrew D. McCulloch
Andrew D. McCulloch University of California, San Diego
Jinchao Xu
Jinchao Xu Pennsylvania State University
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Yongjie Zhang
Yongjie Zhang Carnegie Mellon University
David J. Kriegman
David J. Kriegman University of California, San Diego
Ravi Ramamoorthi
Ravi Ramamoorthi University of California, San Diego
Chandrajit L. Bajaj
Chandrajit L. Bajaj The University of Texas at Austin
Linda M. Zangwill
Linda M. Zangwill University of California, San Diego

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 pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. A popular choice is a data analytics masters, which leverages strong quantitative and analytical skills gained through mathematics. This degree prepares graduates for roles in big data, machine learning, and business intelligence.

Those interested in leadership and management can consider obtaining an MBA. Many look for the easiest mba program or opt for the easiest online mba degree to balance studies with other commitments. These programs focus on important business concepts while offering flexibility.

For advanced professionals, a doctoral pathway like the 1 year dba program online provides a focused approach to executive leadership and applied research, often appealing to math graduates aiming for high-level consulting or academic positions.

Overall, combining a mathematics background with these related online degrees can enhance career prospects in tech, business, and data-driven industries.

Best Scientists Citing Michael Holst

Trending Scientists

Recently Published Articles