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
statistics
political science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
197,293
103,439
0.524
* Total Citation Counts Rankings
Ranking Based On Selection :2
Machine Learning
Statistics
Probabilistic topic models
Bayesian nonparametrics
Approximate posterior inference
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
143,524
74,289
0.518
* Total Citation Counts Rankings
Ranking Based On Selection :3
Algorithms
Optimization
Operations Research
Scheduling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
82,452
17,698
0.215
* Total Citation Counts Rankings
Ranking Based On Selection :4
Statistics
genomics
computational biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
47,947
16,275
0.339
* Total Citation Counts Rankings
Ranking Based On Selection :5
Machine Learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
45,166
39,688
0.879
* Total Citation Counts Rankings
Ranking Based On Selection :6
statistics
probability
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
43,399
12,810
0.295
* Total Citation Counts Rankings
Ranking Based On Selection :7
Algorithms
Complexity
Optimization
Verification
Databases
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41,676
8,093
0.194
* Total Citation Counts Rankings
Ranking Based On Selection :8
Artificial Intelligence
Machine Learning
Probability Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38,297
34,386
0.898
* Total Citation Counts Rankings
Ranking Based On Selection :9
Mathematical Biology
Genomics
Theoretical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38,036
21,778
0.573
* Total Citation Counts Rankings
Ranking Based On Selection :10
Stochastic Analysis
Stochastic Control
Mathematical Finance
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37,974
8,583
0.226
* Total Citation Counts Rankings
Ranking Based On Selection :11
Statistics
Neuroimaging
Social Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
30,248
8,745
0.289
* Total Citation Counts Rankings
Ranking Based On Selection :12
scientific computing
applied mathematics
electromagnetics
acoustics
computational biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,705
7,425
0.289
* Total Citation Counts Rankings
Ranking Based On Selection :13
Computational Mathematics
Multiscale Modeling
Applied Mathematics
Informative Intelligent Computing
Data Analytics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
23,832
10,498
0.441
* Total Citation Counts Rankings
Ranking Based On Selection :14
Stochastic Processes
Mathematical Finance
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
23,009
5,936
0.258
* Total Citation Counts Rankings
Ranking Based On Selection :15
medicine
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,918
6,918
0.316
* Total Citation Counts Rankings
Ranking Based On Selection :16
statistics
optimization
machine learning
high dimensional data analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,428
10,269
0.479
* Total Citation Counts Rankings
Ranking Based On Selection :17
Applied and computational mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,212
9,308
0.439
* Total Citation Counts Rankings
Ranking Based On Selection :18
Partial differential equations
calculus of variations
mathematical aspects of materials science
mathematical finance
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,091
4,594
0.218
* Total Citation Counts Rankings
Ranking Based On Selection :19
Biophysics
Cell Biology
Mathematical Biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
20,602
7,116
0.345
* Total Citation Counts Rankings
Ranking Based On Selection :20
statistics
biostatistics
psychometrics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,895
6,190
0.328
* Total Citation Counts Rankings
Ranking Based On Selection :21
Mathematical Modeling and Simulation
Biophysics
Active and Complex Matter
Cellular Mechanics
Fluid/Structure Interactions
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,482
7,424
0.425
* Total Citation Counts Rankings
Ranking Based On Selection :22
partial differential equation
applied analysis
geometric analysis
geometric measure theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,203
6,424
0.373
* Total Citation Counts Rankings
Ranking Based On Selection :23
math
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,760
4,756
0.284
* Total Citation Counts Rankings
Ranking Based On Selection :24
Algorithmic statistics
machine learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,664
11,413
0.685
* Total Citation Counts Rankings
Ranking Based On Selection :25
Statistics
Time Series
Financial Econometrics
Model Selection
Supply Chain Management
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,834
4,811
0.304
* Total Citation Counts Rankings
Rankings
837
338
4
Ranking Based On Selection: 1
Andrew Gelman
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
197,293
103,439
0.524
* Total Citation Counts Rankings
Rankings
1,554
690
14
Ranking Based On Selection: 2
David Blei
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
143,524
74,289
0.518
Machine Learning
Statistics
Probabilistic topic models
Bayesian nonparametrics
Approximate posterior inference
* Total Citation Counts Rankings
Rankings
4,386
2,097
43
Ranking Based On Selection: 3
Clifford Stein
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
82,452
17,698
0.215
Algorithms
Optimization
Operations Research
Scheduling
* Total Citation Counts Rankings
Rankings
10,677
5,079
112
Ranking Based On Selection: 4
Simon Tavaré
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
47,947
16,275
0.339
Statistics
genomics
computational biology
* Total Citation Counts Rankings
Rankings
11,727
5,559
56
Ranking Based On Selection: 5
Joan Bruna
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
45,166
39,688
0.879
* Total Citation Counts Rankings
Rankings
12,524
5,942
136
Ranking Based On Selection: 6
Richard A Davis
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
43,399
12,810
0.295
* Total Citation Counts Rankings
Rankings
13,383
6,340
141
Ranking Based On Selection: 7
Mihalis Yannakakis
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
41,676
8,093
0.194
Algorithms
Complexity
Optimization
Verification
Databases
* Total Citation Counts Rankings
Rankings
15,301
7,220
84
Ranking Based On Selection: 8
Martin Arjovsky
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38,297
34,386
0.898
Artificial Intelligence
Machine Learning
Probability Theory
* Total Citation Counts Rankings
Rankings
15,469
7,299
159
Ranking Based On Selection: 9
Raul Rabadan
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
38,036
21,778
0.573
Mathematical Biology
Genomics
Theoretical Physics
* Total Citation Counts Rankings
Rankings
15,501
7,314
160
Ranking Based On Selection: 10
Ioannis Karatzas
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37,974
8,583
0.226
Stochastic Analysis
Stochastic Control
Mathematical Finance
* Total Citation Counts Rankings
Rankings
22,087
10,204
228
Ranking Based On Selection: 11
Michael E Sobel
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
30,248
8,745
0.289
Statistics
Neuroimaging
Social Statistics
* Total Citation Counts Rankings
Rankings
28,320
12,912
150
Ranking Based On Selection: 12
Leslie Greengard
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,705
7,425
0.289
scientific computing
applied mathematics
electromagnetics
acoustics
computational biology
* Total Citation Counts Rankings
Rankings
31,680
14,350
300
Ranking Based On Selection: 13
Qiang Du
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
23,832
10,498
0.441
Computational Mathematics
Multiscale Modeling
Applied Mathematics
Informative Intelligent Computing
Data Analytics
* Total Citation Counts Rankings
Rankings
33,273
14,992
310
Ranking Based On Selection: 14
Philip Protter
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
23,009
5,936
0.258
Stochastic Processes
Mathematical Finance
* Total Citation Counts Rankings
Rankings
35,646
15,983
327
Ranking Based On Selection: 15
Donald J Mcmahon
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,918
6,918
0.316
* Total Citation Counts Rankings
Rankings
36,791
16,453
345
Ranking Based On Selection: 16
Ming Yuan
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,428
10,269
0.479
statistics
optimization
machine learning
high dimensional data analysis
* Total Citation Counts Rankings
Rankings
37,338
16,686
188
Ranking Based On Selection: 17
Eric Vanden Eijnden
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,212
9,308
0.439
Applied and computational mathematics
* Total Citation Counts Rankings
Rankings
37,652
16,828
190
Ranking Based On Selection: 18
Robert V Kohn
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,091
4,594
0.218
Partial differential equations
calculus of variations
mathematical aspects of materials science
mathematical finance
* Total Citation Counts Rankings
Rankings
38,935
17,337
195
Ranking Based On Selection: 19
Alex Mogilner
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
20,602
7,116
0.345
Biophysics
Cell Biology
Mathematical Biology
* Total Citation Counts Rankings
Rankings
43,760
19,211
377
Ranking Based On Selection: 20
Zhiliang Ying
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,895
6,190
0.328
statistics
biostatistics
psychometrics
* Total Citation Counts Rankings
Rankings
48,744
21,167
239
Ranking Based On Selection: 21
Michael Shelley
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,482
7,424
0.425
Mathematical Modeling and Simulation
Biophysics
Active and Complex Matter
Cellular Mechanics
Fluid/Structure Interactions
* Total Citation Counts Rankings
Rankings
49,846
21,596
246
Ranking Based On Selection: 22
Fanghua Lin
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,203
6,424
0.373
partial differential equation
applied analysis
geometric analysis
geometric measure theory
* Total Citation Counts Rankings
Rankings
51,494
22,248
254
Ranking Based On Selection: 23
Percy Deift
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,760
4,756
0.284
* Total Citation Counts Rankings
Rankings
51,919
22,422
421
Ranking Based On Selection: 24
Daniel Hsu
Columbia University New York
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,664
11,413
0.685
Algorithmic statistics
machine learning
* Total Citation Counts Rankings
Rankings
55,671
23,843
272
Ranking Based On Selection: 25
Clifford Hurvich
New York University
New York, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,834
4,811
0.304
Statistics
Time Series
Financial Econometrics
Model Selection
Supply Chain Management