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
Probability theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
36,714
7,811
0.213
* Total Citation Counts Rankings
Ranking Based On Selection :2
Bayesian inference
Machine learning
Probabilistic Graphical Models
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
27,051
19,579
0.724
* Total Citation Counts Rankings
Ranking Based On Selection :3
Numerical Analysis
Scientific Computing
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
22,659
5,841
0.258
* Total Citation Counts Rankings
Ranking Based On Selection :4
Mathematics
Mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,904
6,016
0.302
* Total Citation Counts Rankings
Ranking Based On Selection :5
Probability
Information Theory
Quantum Theory
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,003
5,905
0.328
* Total Citation Counts Rankings
Ranking Based On Selection :6
Partial differential equations
ordinary differential equations
computational mathematics
linear algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,915
4,025
0.225
* Total Citation Counts Rankings
Ranking Based On Selection :7
Mathematics
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,140
2,100
0.130
* Total Citation Counts Rankings
Ranking Based On Selection :8
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,682
3,400
0.217
* Total Citation Counts Rankings
Ranking Based On Selection :9
Numerical mathematics
tensors
deep learning
machine learning
matrix analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,318
11,204
0.731
* Total Citation Counts Rankings
Ranking Based On Selection :10
Theoretical Physics
Quantum Mechanics
Open quantum systems
Fractional Calculus
Fractional Dynamics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,220
7,053
0.534
* Total Citation Counts Rankings
Ranking Based On Selection :11
Mathematics
Computation
Control
Mechanics
Hidden attractors
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,205
6,457
0.489
* Total Citation Counts Rankings
Ranking Based On Selection :12
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,884
2,754
0.214
* Total Citation Counts Rankings
Ranking Based On Selection :13
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,852
5,312
0.448
* Total Citation Counts Rankings
Ranking Based On Selection :14
статистика
история статистики
эконометрика
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,698
2,142
0.200
* Total Citation Counts Rankings
Ranking Based On Selection :15
математика
математические модели
теория вероятностей и
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,344
3,226
0.312
* Total Citation Counts Rankings
Ranking Based On Selection :16
matrices
tensors
computations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,872
3,186
0.359
* Total Citation Counts Rankings
Ranking Based On Selection :17
theoretical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,560
1,886
0.220
* Total Citation Counts Rankings
Ranking Based On Selection :18
Applied Mathematics
Numerical Analysis
Scientific Computing
Materials Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,907
7,358
0.931
* Total Citation Counts Rankings
Ranking Based On Selection :19
Applied mathematics
Computer Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,877
3,222
0.409
* Total Citation Counts Rankings
Ranking Based On Selection :20
Mathematical Physics
Integrable Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,663
1,595
0.208
* Total Citation Counts Rankings
Ranking Based On Selection :21
Inverse problems
ill-posed problems
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,035
2,442
0.347
* Total Citation Counts Rankings
Ranking Based On Selection :22
matematics
кибернетика
экономика
вычислительная математика
военные нау
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,002
4,453
0.636
* Total Citation Counts Rankings
Ranking Based On Selection :23
Mathematics
Algebraic Geometry
Algebra
Noncommutative Geometry
Category Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,716
2,301
0.343
* Total Citation Counts Rankings
Ranking Based On Selection :24
Математика
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,687
2,393
0.358
* Total Citation Counts Rankings
Ranking Based On Selection :25
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,618
1,960
0.296
Albert Shiryaev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
36,714
7,811
0.213
Alexander Sirotkin
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
27,051
19,579
0.724
Bayesian inference
Machine learning
Probabilistic Graphical Models
Theodore E. Simos
South Ural State University
Chelyabinsk, Russia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
22,659
5,841
0.258
Numerical Analysis
Scientific Computing
Gennady A. Leonov
Saint Petersburg State University
Saint Petersburg, Russia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,904
6,016
0.302
Holevo Alexander
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,003
5,905
0.328
Probability
Information Theory
Quantum Theory
Mathematical Physics
Sergei K. Godunov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,915
4,025
0.225
Partial differential equations
ordinary differential equations
computational mathematics
linear algebra
Victor Maslov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,140
2,100
0.130
Mathematics
mathematical physics
Ildar Ibragimov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,682
3,400
0.217
Ivan Oseledets
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,318
11,204
0.731
Numerical mathematics
tensors
deep learning
machine learning
matrix analysis
Vasily E. Tarasov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,220
7,053
0.534
Theoretical Physics
Quantum Mechanics
Open quantum systems
Fractional Calculus
Fractional Dynamics
Nikolay V. Kuznetsov
Saint Petersburg State University
Saint Petersburg, Russia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,205
6,457
0.489
Mathematics
Computation
Control
Mechanics
Hidden attractors
Igor Volovich
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,884
2,754
0.214
Vladimir Bogachev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,852
5,312
0.448
Елисеева Ирина Ильинична
Saint Petersburg State University of Economics
Saint Petersburg, Russia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,698
2,142
0.200
статистика
история статистики
эконометрика
Нина Смирнова
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
10,344
3,226
0.312
математика
математические модели
теория вероятностей и
Eugene Tyrtyshnikov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,872
3,186
0.359
matrices
tensors
computations
Irina Arefeva
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,560
1,886
0.220
Alexander Shapeev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,907
7,358
0.931
Applied Mathematics
Numerical Analysis
Scientific Computing
Materials Science
Belov A.V.
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,877
3,222
0.409
Applied mathematics
Computer Science
Sokolov Vladimir|V V Sokolov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,663
1,595
0.208
Mathematical Physics
Integrable Systems
Yagola Anatoly
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,035
2,442
0.347
Inverse problems
ill-posed problems
mathematical physics
Evgeniy G. Anisimov Евгений Георгиевич Анисимов
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,002
4,453
0.636
matematics
кибернетика
экономика
вычислительная математика
военные нау
Dmitri Orlov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,716
2,301
0.343
Mathematics
Algebraic Geometry
Algebra
Noncommutative Geometry
Category Theory
Aram V. Arutyunov Арутюнов Арам Владимирович
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,687
2,393
0.358
Vladimir L. Popov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,618
1,960
0.296