Citation Rankings
Highly Cited Researchers
Natural Sciences / Mathematical Sciences Highly Cited Researchers 69 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
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
95,799
23,391
0.244
* Total Citation Counts Rankings
Ranking Based On Selection: 2
Statistics
machine learning
finance
economics
operations research
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
91,927
35,985
0.391
* Total Citation Counts Rankings
Ranking Based On Selection: 3
Statistics
Genomics
Statistical Genetics
Biostatistics
Computational Biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
49,155
14,805
0.301
* Total Citation Counts Rankings
Ranking Based On Selection: 4
applied mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
28,928
17,048
0.589
* Total Citation Counts Rankings
Ranking Based On Selection: 5
Natural Algorithms
Computational Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
26,524
3,994
0.151
* Total Citation Counts Rankings
Ranking Based On Selection: 6
Algorithm science
Analytic combinatorics
Analysis of algorithms
Algorithm engineering
Data structures
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
22,186
3,878
0.175
* Total Citation Counts Rankings
Ranking Based On Selection: 7
Algorithms
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,935
10,956
0.550
* Total Citation Counts Rankings
Ranking Based On Selection: 8
Applied statistics
probabilistic machine learning
genomics
health
structured data
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,527
12,124
0.692
* Total Citation Counts Rankings
Ranking Based On Selection: 9
stochastic analysis
financial mathematics
financial engineering
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,092
6,474
0.379
* Total Citation Counts Rankings
Ranking Based On Selection: 10
Numerical methods
Ocean modeling
Iceberg modeling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,559
7,387
0.446
* Total Citation Counts Rankings
Ranking Based On Selection: 11
Probability
Engineering
Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,186
3,649
0.225
* Total Citation Counts Rankings
Ranking Based On Selection: 12
Applied Mathematics
Cryo-Electron Microscopy
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,131
4,994
0.493
* Total Citation Counts Rankings
Ranking Based On Selection: 13
Algorithms
Algorithm Engineering
Combinatorial Optimization
Data Structures
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,775
3,227
0.330
* Total Citation Counts Rankings
Ranking Based On Selection: 14
Mathematical optimization
Algorithms
Machine learning
Network science
Power systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,057
5,243
0.743
* Total Citation Counts Rankings
Ranking Based On Selection: 15
Probability
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,860
3,535
0.515
* Total Citation Counts Rankings
Ranking Based On Selection: 16
Statistics and Population
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,744
1,075
0.159
* Total Citation Counts Rankings
Ranking Based On Selection: 17
Economics and Computation
Theoretical Computer Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,690
3,169
0.676
* Total Citation Counts Rankings
Ranking Based On Selection: 18
Number Theory
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,857
1,204
0.312
* Total Citation Counts Rankings
Ranking Based On Selection: 19
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,837
2,682
0.699
* Total Citation Counts Rankings
Ranking Based On Selection: 20
probability
mathematical physics
deep learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,576
3,294
0.921
* Total Citation Counts Rankings
Ranking Based On Selection: 21
Algorithms
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,404
2,084
0.612
* Total Citation Counts Rankings
Ranking Based On Selection: 22
Number Theory
Geometry
Topology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,190
750
0.235
* Total Citation Counts Rankings
Ranking Based On Selection: 23
Mathematical Biology
Machine Learning
Computer Vision
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,880
1,563
0.543
* Total Citation Counts Rankings
Ranking Based On Selection: 24
Optimization
Dynamical Systems
Computational and Applied Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,787
1,534
0.550
* Total Citation Counts Rankings
Ranking Based On Selection: 25
Partial Differential Equations
Fluid Dynamics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,524
2,005
0.794
* Total Citation Counts Rankings
Rankings
3,521
1,665
26
Ranking Based On Selection: 1
Elliott Lieb
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
95,799
23,391
0.244
* Total Citation Counts Rankings
Rankings
3,785
1,790
31
Ranking Based On Selection: 2
Jianqing Fan
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
91,927
35,985
0.391
Statistics
machine learning
finance
economics
operations research
* Total Citation Counts Rankings
Rankings
10,559
5,019
74
Ranking Based On Selection: 3
John D Storey
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
49,155
14,805
0.301
Statistics
Genomics
Statistical Genetics
Biostatistics
Computational Biology
* Total Citation Counts Rankings
Rankings
24,388
11,194
124
Ranking Based On Selection: 4
Weinan E
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
28,928
17,048
0.589
* Total Citation Counts Rankings
Rankings
27,778
12,674
137
Ranking Based On Selection: 5
Bernard Chazelle
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
26,524
3,994
0.151
Natural Algorithms
Computational Geometry
* Total Citation Counts Rankings
Rankings
35,944
16,077
166
Ranking Based On Selection: 6
Robert Sedgewick
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
22,186
3,878
0.175
Algorithm science
Analytic combinatorics
Analysis of algorithms
Algorithm engineering
Data structures
* Total Citation Counts Rankings
Rankings
41,762
18,377
187
Ranking Based On Selection: 7
Matthew Moskewicz
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,935
10,956
0.550
* Total Citation Counts Rankings
Rankings
49,800
21,559
210
Ranking Based On Selection: 8
Barbara Engelhardt
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,527
12,124
0.692
Applied statistics
probabilistic machine learning
genomics
health
structured data
* Total Citation Counts Rankings
Rankings
51,442
22,208
213
Ranking Based On Selection: 9
Rene Carmona
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,092
6,474
0.379
stochastic analysis
financial mathematics
financial engineering
* Total Citation Counts Rankings
Rankings
53,717
23,057
218
Ranking Based On Selection: 10
Alistair Adcroft
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,559
7,387
0.446
Numerical methods
Ocean modeling
Iceberg modeling
* Total Citation Counts Rankings
Rankings
55,443
23,712
223
Ranking Based On Selection: 11
Erik Vanmarcke
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,186
3,649
0.225
Probability
Engineering
Physics
* Total Citation Counts Rankings
Rankings
99,263
39,527
298
Ranking Based On Selection: 12
Amit Singer
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,131
4,994
0.493
Applied Mathematics
Cryo-Electron Microscopy
* Total Citation Counts Rankings
Rankings
103,431
40,993
303
Ranking Based On Selection: 13
Renato Werneck
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,775
3,227
0.330
Algorithms
Algorithm Engineering
Combinatorial Optimization
Data Structures
* Total Citation Counts Rankings
Rankings
148,212
55,819
365
Ranking Based On Selection: 14
Wei Wilbur Shi
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,057
5,243
0.743
Mathematical optimization
Algorithms
Machine learning
Network science
Power systems
* Total Citation Counts Rankings
Rankings
152,682
57,226
372
Ranking Based On Selection: 15
Allan Sly
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,860
3,535
0.515
* Total Citation Counts Rankings
Rankings
155,448
58,108
375
Ranking Based On Selection: 16
Germán Rodríguez
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,744
1,075
0.159
* Total Citation Counts Rankings
Rankings
222,448
78,535
455
Ranking Based On Selection: 17
S Matthew Weinberg
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,690
3,169
0.676
Economics and Computation
Theoretical Computer Science
* Total Citation Counts Rankings
Rankings
266,054
91,255
487
Ranking Based On Selection: 18
Shou Wu Zhang
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,857
1,204
0.312
Number Theory
Algebraic Geometry
* Total Citation Counts Rankings
Rankings
267,244
91,590
489
Ranking Based On Selection: 19
Chenyang Xu
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,837
2,682
0.699
* Total Citation Counts Rankings
Rankings
284,022
96,427
507
Ranking Based On Selection: 20
Boris Hanin
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,576
3,294
0.921
probability
mathematical physics
deep learning
* Total Citation Counts Rankings
Rankings
296,371
100,010
519
Ranking Based On Selection: 21
Huy L Nguy
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,404
2,084
0.612
* Total Citation Counts Rankings
Rankings
312,950
104,724
534
Ranking Based On Selection: 22
Jonathan Sondow
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,190
750
0.235
Number Theory
Geometry
Topology
* Total Citation Counts Rankings
Rankings
340,253
112,385
579
Ranking Based On Selection: 23
Quentin Caudron
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,880
1,563
0.543
Mathematical Biology
Machine Learning
Computer Vision
* Total Citation Counts Rankings
Rankings
349,430
114,887
584
Ranking Based On Selection: 24
Amir Ali Ahmadi
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,787
1,534
0.550
Optimization
Dynamical Systems
Computational and Applied Mathematics
* Total Citation Counts Rankings
Rankings
377,833
122,752
619
Ranking Based On Selection: 25
Tristan Buckmaster
Princeton University
Princeton, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,524
2,005
0.794
Partial Differential Equations
Fluid Dynamics