Citation Rankings
Highly Cited Researchers

Natural Sciences / Mathematical Sciences Highly Cited Researchers Citation Rankings 2025

The Citation Rankings (Highly Cited Researchers) 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
United States
H Joseph Newton
time series analysis
forecasting
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
122,907
83,503
0.679
* Total Citation Counts Rankings
Ranking Based On Selection: 2
United States
Ronald Devore
approximation theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
33,982
8,694
0.256
* Total Citation Counts Rankings
Ranking Based On Selection: 3
United States
Jean Luc Guermond
Numerical Analysis
Partial Differential Equations
Computational Fluid Dynamics
MHD
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,395
7,268
0.443
* Total Citation Counts Rankings
Ranking Based On Selection: 4
United States
Gilles Pisier
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,740
3,543
0.225
* Total Citation Counts Rankings
Ranking Based On Selection: 5
United States
Valen Johnson
Bayesian analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,022
6,252
0.446
* Total Citation Counts Rankings
Ranking Based On Selection: 6
United States
Yalchin Efendiev
Computational Mathematics
Multiscale Methods
Multiscale Mathematics
Numerical Upscaling
Multiscale Simulations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,092
6,091
0.465
* Total Citation Counts Rankings
Ranking Based On Selection: 7
United States
William B Johnson
Functional Analysis
Probability
Theoretical Computer Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,907
2,979
0.250
* Total Citation Counts Rankings
Ranking Based On Selection: 8
United States
Stephen A Fulling
Relativity
Quantum Theory
Spectral and Asymptotic Theory of Differential Operators
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,568
3,220
0.278
* Total Citation Counts Rankings
Ranking Based On Selection: 9
United States
Peter Kuchment
Mathematical physics and differential equations
spectral theory
quantum graphs
tomography
geometric analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,083
3,726
0.336
* Total Citation Counts Rankings
Ranking Based On Selection: 10
United States
Bani Mallick
Statistics
machine learning
bioinformatics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,057
3,986
0.360
* Total Citation Counts Rankings
Ranking Based On Selection: 11
United States
Brani Vidakovic
Wavelets
Bayesian Statistics
Biostatistics
High-frequency data
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,783
2,476
0.230
* Total Citation Counts Rankings
Ranking Based On Selection: 12
United States
Raytcho Lazarov
Numerical analysis
scientific computing
finite element method
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,186
3,588
0.352
* Total Citation Counts Rankings
Ranking Based On Selection: 13
United States
Rostislav Grigorchuk
Group Theory
Dynamical Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,837
2,520
0.285
* Total Citation Counts Rankings
Ranking Based On Selection: 14
United States
Goong Chen
Control Theory
Computational Mechanics
Partial Differental Equations
Chaotic Dynamics
Numerical Solutions by Boundary Elements
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,596
2,707
0.315
* Total Citation Counts Rankings
Ranking Based On Selection: 15
United States
Simon Foucart
Approximation Theory
Compressive Sensing
Mathematical Data Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,320
3,975
0.543
* Total Citation Counts Rankings
Ranking Based On Selection: 16
United States
Jeffrey D Hart
Nonparametric statistics
Bayesian statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,214
1,068
0.172
* Total Citation Counts Rankings
Ranking Based On Selection: 17
United States
JD Ward
approximation theory
applied harmonic analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,103
1,368
0.224
* Total Citation Counts Rankings
Ranking Based On Selection: 18
United States
Francis Narcowich
Approximation theory
meshless methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,093
1,664
0.273
* Total Citation Counts Rankings
Ranking Based On Selection: 19
United States
Mohsen Pourahmadi
Time series analysis
longitudinal data analysis
covariance estimation
high-dimensional data analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,789
2,146
0.371
* Total Citation Counts Rankings
Ranking Based On Selection: 20
United States
Joseph M Landsberg
Algebraic geometry
differential geometry
Exterior differential systems
Homogeneous varieties
geometric questions originating in computer science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,366
2,162
0.403
* Total Citation Counts Rankings
Ranking Based On Selection: 21
United States
David R Larson
functional analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,255
1,228
0.234
* Total Citation Counts Rankings
Ranking Based On Selection: 22
United States
Ken Dykema
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,819
1,138
0.236
* Total Citation Counts Rankings
Ranking Based On Selection: 23
United States
Frank Sottile
Algebraic Geometry
Algebraic Combinatorics
Applied Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,314
1,391
0.322
* Total Citation Counts Rankings
Ranking Based On Selection: 24
United States
Joel Zinn
Probability Theory
Empirical Processes
Convex Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,293
816
0.190
* Total Citation Counts Rankings
Ranking Based On Selection: 25
United States
Gerald Kulm
Mathematics Teacher Knowledge
Curriculum Analysis
Assessment
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,193
1,193
0.285
* Total Citation Counts Rankings
Rankings
2,074
United States
956
4
Ranking Based On Selection: 1
H Joseph Newton
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
122,907
83,503
0.679
* Total Citation Counts Rankings
Rankings
18,427
United States
8,623
43
Ranking Based On Selection: 2
Ronald Devore
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
33,982
8,694
0.256
* Total Citation Counts Rankings
Rankings
53,063
United States
22,870
174
Ranking Based On Selection: 3
Jean Luc Guermond
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,395
7,268
0.443
Numerical Analysis
Partial Differential Equations
Computational Fluid Dynamics
MHD
* Total Citation Counts Rankings
Rankings
56,064
United States
23,996
184
Ranking Based On Selection: 4
Gilles Pisier
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,740
3,543
0.225
* Total Citation Counts Rankings
Rankings
65,284
United States
27,509
201
Ranking Based On Selection: 5
Valen Johnson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,022
6,252
0.446
* Total Citation Counts Rankings
Rankings
71,326
United States
29,672
213
Ranking Based On Selection: 6
Yalchin Efendiev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,092
6,091
0.465
Computational Mathematics
Multiscale Methods
Multiscale Mathematics
Numerical Upscaling
Multiscale Simulations
* Total Citation Counts Rankings
Rankings
80,123
United States
32,872
237
Ranking Based On Selection: 7
William B Johnson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,907
2,979
0.250
Functional Analysis
Probability
Theoretical Computer Science
* Total Citation Counts Rankings
Rankings
83,054
United States
33,942
254
Ranking Based On Selection: 8
Stephen A Fulling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,568
3,220
0.278
Relativity
Quantum Theory
Spectral and Asymptotic Theory of Differential Operators
* Total Citation Counts Rankings
Rankings
87,320
United States
35,461
272
Ranking Based On Selection: 9
Peter Kuchment
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,083
3,726
0.336
Mathematical physics and differential equations
spectral theory
quantum graphs
tomography
geometric analysis
* Total Citation Counts Rankings
Rankings
87,597
United States
35,557
273
Ranking Based On Selection: 10
Bani Mallick
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,057
3,986
0.360
* Total Citation Counts Rankings
Rankings
90,276
United States
36,507
286
Ranking Based On Selection: 11
Brani Vidakovic
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,783
2,476
0.230
Wavelets
Bayesian Statistics
Biostatistics
High-frequency data
* Total Citation Counts Rankings
Rankings
96,480
United States
38,645
314
Ranking Based On Selection: 12
Raytcho Lazarov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,186
3,588
0.352
Numerical analysis
scientific computing
finite element method
* Total Citation Counts Rankings
Rankings
113,367
United States
44,519
376
Ranking Based On Selection: 13
Rostislav Grigorchuk
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,837
2,520
0.285
* Total Citation Counts Rankings
Rankings
116,963
United States
45,716
385
Ranking Based On Selection: 14
Goong Chen
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,596
2,707
0.315
Control Theory
Computational Mechanics
Partial Differental Equations
Chaotic Dynamics
Numerical Solutions by Boundary Elements
* Total Citation Counts Rankings
Rankings
139,552
United States
53,129
460
Ranking Based On Selection: 15
Simon Foucart
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,320
3,975
0.543
Approximation Theory
Compressive Sensing
Mathematical Data Science
* Total Citation Counts Rankings
Rankings
165,563
United States
61,387
551
Ranking Based On Selection: 16
Jeffrey D Hart
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,214
1,068
0.172
* Total Citation Counts Rankings
Rankings
168,568
United States
62,353
570
Ranking Based On Selection: 17
JD Ward
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,103
1,368
0.224
approximation theory
applied harmonic analysis
* Total Citation Counts Rankings
Rankings
168,814
United States
62,443
573
Ranking Based On Selection: 18
Francis Narcowich
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,093
1,664
0.273
* Total Citation Counts Rankings
Rankings
177,597
United States
65,170
605
Ranking Based On Selection: 19
Mohsen Pourahmadi
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,789
2,146
0.371
Time series analysis
longitudinal data analysis
covariance estimation
high-dimensional data analysis
* Total Citation Counts Rankings
Rankings
191,228
United States
69,302
656
Ranking Based On Selection: 20
Joseph M Landsberg
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,366
2,162
0.403
Algebraic geometry
differential geometry
Exterior differential systems
Homogeneous varieties
geometric questions originating in computer science
* Total Citation Counts Rankings
Rankings
195,266
United States
70,551
670
Ranking Based On Selection: 21
David R Larson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,255
1,228
0.234
* Total Citation Counts Rankings
Rankings
212,411
United States
75,694
723
Ranking Based On Selection: 22
Ken Dykema
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,819
1,138
0.236
* Total Citation Counts Rankings
Rankings
235,436
United States
82,510
794
Ranking Based On Selection: 23
Frank Sottile
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,314
1,391
0.322
Algebraic Geometry
Algebraic Combinatorics
Applied Algebra
* Total Citation Counts Rankings
Rankings
236,522
United States
82,805
800
Ranking Based On Selection: 24
Joel Zinn
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,293
816
0.190
Probability Theory
Empirical Processes
Convex Geometry
* Total Citation Counts Rankings
Rankings
241,746
United States
84,316
821
Ranking Based On Selection: 25
Gerald Kulm
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,193
1,193
0.285
Mathematics Teacher Knowledge
Curriculum Analysis
Assessment