Citation Rankings
Highly Cited Researchers
Natural Sciences / Mathematical Sciences Highly Cited Researchers 72 Scientists Citation Rankings - 2025
The Citation Rankings (Highly Cited Researchers) list highlight the most cited and influential researchers across a vast range of scientific fields, covering 197 main and sub-disciplines, including the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings. This service, offered exclusively by AD Scientific Index, aims to provide a balanced perspective by excluding data from CERN and other statistical sources that disproportionately favor certain researchers, particularly in the social sciences and humanities. This unique approach addresses the advantages researchers with multi-author publications and CERN involvement hold over others. Furthermore, citation rankings help uncover rule violations and unethical practices within the research community. For more detailed citation analyses, explore the Scientists Last 6 Years Citation Index, Universities Total Citations Rankings 2025, and Universities Last 6 Years Citations Rankings 2025.
* Total Citation Counts Rankings
Ranking Based On Selection: 1
Finite Element Methods
Solid Mechanics
Computational Fluid Dynamics
Partial Differential Equations
Isogeometric Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
148,853
37,575
0.252
* Total Citation Counts Rankings
Ranking Based On Selection: 2
Computational Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
72,281
12,755
0.176
* Total Citation Counts Rankings
Ranking Based On Selection: 3
partial differential equations
geometry probability
harmonic analysis
continuum mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
44,044
14,521
0.330
* Total Citation Counts Rankings
Ranking Based On Selection: 4
computational science
engineering
applied mathematics
geosciences
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31,120
8,785
0.282
* Total Citation Counts Rankings
Ranking Based On Selection: 5
Statistics
biostatistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
26,128
9,290
0.356
* Total Citation Counts Rankings
Ranking Based On Selection: 6
Applied and Computational Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,385
5,383
0.212
* Total Citation Counts Rankings
Ranking Based On Selection: 7
statistics
bayesian
nonparametric
biostatistics
bioinformatics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,787
4,500
0.253
* Total Citation Counts Rankings
Ranking Based On Selection: 8
geometry
topology
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,323
4,097
0.308
* Total Citation Counts Rankings
Ranking Based On Selection: 9
scientific computation
numerical analysis
numerical PDEs
data analysis
numerical linear algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,063
5,339
0.483
* Total Citation Counts Rankings
Ranking Based On Selection: 10
Scientific Computing
Numerical Mathematics/Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,013
1,519
0.138
* Total Citation Counts Rankings
Ranking Based On Selection: 11
Current & next-generation lithium batteries
model based BMS
multiscale modeling
differential-algebraic equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,667
6,327
0.593
* Total Citation Counts Rankings
Ranking Based On Selection: 12
statistics and data science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,232
6,096
0.596
* Total Citation Counts Rankings
Ranking Based On Selection: 13
Mathematics
Numerical Analysis
Scientific Computing
Porous Media
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,769
1,550
0.200
* Total Citation Counts Rankings
Ranking Based On Selection: 14
Bayesian Inference
Trial Design
Clinical Oncology
Translational Oncology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,728
6,011
0.778
* Total Citation Counts Rankings
Ranking Based On Selection: 15
learning disabilities
interventions
mathematics
dyslexia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,628
2,653
0.348
* Total Citation Counts Rankings
Ranking Based On Selection: 16
Mathematics
Learning Disabilities
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,501
3,911
0.521
* Total Citation Counts Rankings
Ranking Based On Selection: 17
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,834
3,154
0.462
* Total Citation Counts Rankings
Ranking Based On Selection: 18
Learning Disabilities
Cognition
Academic Intervention
Meta-analysis
Special Education
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,063
5,288
0.872
* Total Citation Counts Rankings
Ranking Based On Selection: 19
quantum field theory
geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,828
2,011
0.345
* Total Citation Counts Rankings
Ranking Based On Selection: 20
Analysis
Partial Differential Equations
Calculus of Variations
Geometric Measure Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,477
2,382
0.532
* Total Citation Counts Rankings
Ranking Based On Selection: 21
Spatial Statistics
Bayesian Methods
Network Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,383
2,058
0.470
* Total Citation Counts Rankings
Ranking Based On Selection: 22
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,255
3,818
0.897
* Total Citation Counts Rankings
Ranking Based On Selection: 23
Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,945
1,181
0.299
* Total Citation Counts Rankings
Ranking Based On Selection: 24
Theoretical Statistics
Scalable Algorithms
Networks
Machine Learning
Random Matrices
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,835
1,771
0.462
* Total Citation Counts Rankings
Ranking Based On Selection: 25
Dynamical systems
ergodic theory
random graphs
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,565
750
0.210
* Total Citation Counts Rankings
Rankings
1,488
660
6
Ranking Based On Selection: 1
Thomas Jr Hughes
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
148,853
37,575
0.252
Finite Element Methods
Solid Mechanics
Computational Fluid Dynamics
Partial Differential Equations
Isogeometric Analysis
* Total Citation Counts Rankings
Rankings
5,666
2,680
21
Ranking Based On Selection: 2
Babuska İ
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
72,281
12,755
0.176
* Total Citation Counts Rankings
Rankings
12,551
5,934
55
Ranking Based On Selection: 3
Luis Caffarelli
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
44,044
14,521
0.330
partial differential equations
geometry probability
harmonic analysis
continuum mechanics
* Total Citation Counts Rankings
Rankings
21,695
10,018
101
Ranking Based On Selection: 4
Mary F Wheeler
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31,120
8,785
0.282
computational science
engineering
applied mathematics
geosciences
* Total Citation Counts Rankings
Rankings
28,332
12,894
130
Ranking Based On Selection: 5
Paul J Rathouz
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
26,128
9,290
0.356
* Total Citation Counts Rankings
Rankings
29,559
13,419
137
Ranking Based On Selection: 6
Bjorn Engquist
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,385
5,383
0.212
Applied and Computational Mathematics
* Total Citation Counts Rankings
Rankings
48,683
21,102
214
Ranking Based On Selection: 7
Peter Mueller
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,787
4,500
0.253
statistics
bayesian
nonparametric
biostatistics
bioinformatics
* Total Citation Counts Rankings
Rankings
71,287
29,633
304
Ranking Based On Selection: 8
Daniel S Freed
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,323
4,097
0.308
geometry
topology
mathematical physics
* Total Citation Counts Rankings
Rankings
89,447
36,131
373
Ranking Based On Selection: 9
Per Gunnar Martinsson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,063
5,339
0.483
scientific computation
numerical analysis
numerical PDEs
data analysis
numerical linear algebra
* Total Citation Counts Rankings
Rankings
89,941
36,314
375
Ranking Based On Selection: 10
David R Kincaid
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,013
1,519
0.138
Scientific Computing
Numerical Mathematics/Analysis
* Total Citation Counts Rankings
Rankings
93,342
37,487
390
Ranking Based On Selection: 11
Venkat Subramanian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,667
6,327
0.593
Current & next-generation lithium batteries
model based BMS
multiscale modeling
differential-algebraic equations
* Total Citation Counts Rankings
Rankings
97,921
39,041
406
Ranking Based On Selection: 12
James G Scott
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,232
6,096
0.596
* Total Citation Counts Rankings
Rankings
133,510
51,058
523
Ranking Based On Selection: 13
Todd Arbogast
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,769
1,550
0.200
Mathematics
Numerical Analysis
Scientific Computing
Porous Media
* Total Citation Counts Rankings
Rankings
134,239
51,322
528
Ranking Based On Selection: 14
Brian Hobbs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,728
6,011
0.778
Bayesian Inference
Trial Design
Clinical Oncology
Translational Oncology
* Total Citation Counts Rankings
Rankings
136,223
51,944
533
Ranking Based On Selection: 15
Diane Bryant
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,628
2,653
0.348
learning disabilities
interventions
mathematics
dyslexia
* Total Citation Counts Rankings
Rankings
138,659
52,730
544
Ranking Based On Selection: 16
Sarah R Powell
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,501
3,911
0.521
Mathematics
Learning Disabilities
* Total Citation Counts Rankings
Rankings
152,986
57,309
591
Ranking Based On Selection: 17
Clayton Webster
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,834
3,154
0.462
* Total Citation Counts Rankings
Rankings
172,862
63,578
638
Ranking Based On Selection: 18
Peng Peng (彭鹏)
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,063
5,288
0.872
Learning Disabilities
Cognition
Academic Intervention
Meta-analysis
Special Education
* Total Citation Counts Rankings
Rankings
179,877
65,748
661
Ranking Based On Selection: 19
Andrew Neitzke
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,828
2,011
0.345
quantum field theory
geometry
* Total Citation Counts Rankings
Rankings
231,861
81,298
795
Ranking Based On Selection: 20
Francesco Maggi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,477
2,382
0.532
Analysis
Partial Differential Equations
Calculus of Variations
Geometric Measure Theory
* Total Citation Counts Rankings
Rankings
236,429
82,592
808
Ranking Based On Selection: 21
Catherine A Calder
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,383
2,058
0.470
Spatial Statistics
Bayesian Methods
Network Analysis
* Total Citation Counts Rankings
Rankings
242,929
84,479
826
Ranking Based On Selection: 22
Jared Murray
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,255
3,818
0.897
* Total Citation Counts Rankings
Rankings
260,353
89,569
862
Ranking Based On Selection: 23
William Beckner
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,945
1,181
0.299
* Total Citation Counts Rankings
Rankings
266,855
91,429
885
Ranking Based On Selection: 24
Purnamrita Sarkar
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,835
1,771
0.462
Theoretical Statistics
Scalable Algorithms
Networks
Machine Learning
Random Matrices
* Total Citation Counts Rankings
Rankings
284,260
96,442
924
Ranking Based On Selection: 25
Lorenzo Sadun
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,565
750
0.210
Dynamical systems
ergodic theory
random graphs
mathematical physics