Citation Rankings (Highly Cited Researchers) and the list of the most cited and influential researchers cover a wide range of scientific fields, spanning 197 main and sub-disciplines, as well as the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings, offering a unique service. Additionally, the list without CERN, Statistical Data, etc., provided exclusively by “AD Scientific Index”, is part of our effort to balance the situation created by CERN and researchers with statistical data, who have an advantage over others, especially those in the social and humanities fields. There should be new regulations for multi-author and CERN papers. Citation lists also reveal many rule violations and unethical practices. See also for more specific citation analyses: 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
36,513
7,645
0.209
* Total Citation Counts Rankings
Ranking Based On Selection :2
Probability
Information Theory
Quantum Theory
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,822
5,738
0.322
* Total Citation Counts Rankings
Ranking Based On Selection :3
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,580
3,309
0.212
* Total Citation Counts Rankings
Ranking Based On Selection :4
Parameteried Complexity
Graph Algorithms
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,665
7,846
0.574
* Total Citation Counts Rankings
Ranking Based On Selection :5
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,804
2,679
0.209
* Total Citation Counts Rankings
Ranking Based On Selection :6
Quantum Optics
Entanglement
Quantum Information Theory
Quantum Information Science
Group Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,735
2,968
0.253
* Total Citation Counts Rankings
Ranking Based On Selection :7
theoretical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,501
1,830
0.215
* Total Citation Counts Rankings
Ranking Based On Selection :8
Mathematics
Algebraic Geometry
Algebra
Noncommutative Geometry
Category Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,649
2,235
0.336
* Total Citation Counts Rankings
Ranking Based On Selection :9
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,544
1,889
0.289
* Total Citation Counts Rankings
Ranking Based On Selection :10
algebraic geometry
homological algebra
noncommutative geometry
category theory
representation theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,005
1,636
0.327
* Total Citation Counts Rankings
Ranking Based On Selection :11
Algebraic Geometry
Homological Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,380
2,495
0.570
* Total Citation Counts Rankings
Ranking Based On Selection :12
Quantum Information Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,943
2,053
0.521
* Total Citation Counts Rankings
Ranking Based On Selection :13
Leading Scientific Researcher
Professor
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,879
2,036
0.525
* Total Citation Counts Rankings
Ranking Based On Selection :14
probability theory
mathematical biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,705
1,141
0.308
* Total Citation Counts Rankings
Ranking Based On Selection :15
complex systems
nonlinear dynamics
cardiac modeling
networks
econophysics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,621
1,088
0.300
* Total Citation Counts Rankings
Ranking Based On Selection :16
mathematical physics
geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,388
995
0.294
* Total Citation Counts Rankings
Ranking Based On Selection :17
Computational biology
condensed-matter physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,349
980
0.293
* Total Citation Counts Rankings
Ranking Based On Selection :18
Cosmology
Astrophysics
Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,242
2,416
0.745
* Total Citation Counts Rankings
Ranking Based On Selection :19
Динамические системы
КАМ-теория
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,070
818
0.266
* Total Citation Counts Rankings
Ranking Based On Selection :20
Memory
Bioinformatics
Structural Biology
membrane proteins
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,068
499
0.163
* Total Citation Counts Rankings
Ranking Based On Selection :21
Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,061
967
0.316
* Total Citation Counts Rankings
Ranking Based On Selection :22
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,955
943
0.319
* Total Citation Counts Rankings
Ranking Based On Selection :23
computational complexity
discrete algorithms
automata theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,806
1,028
0.366
* Total Citation Counts Rankings
Ranking Based On Selection :24
Network Science
Computational Systems Biology
Natural Products
Environmental Chemicals
Exposome
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,426
1,899
0.783
* Total Citation Counts Rankings
Ranking Based On Selection :25
Statistical Mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,338
1,164
0.498
Albert Shiryaev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
36,513
7,645
0.209
Holevo Alexander
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
17,822
5,738
0.322
Probability
Information Theory
Quantum Theory
Mathematical Physics
Ildar Ibragimov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,580
3,309
0.212
Saket Saurabh
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,665
7,846
0.574
Parameteried Complexity
Graph Algorithms
Igor Volovich
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,804
2,679
0.209
Rajiah Simon
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,735
2,968
0.253
Quantum Optics
Entanglement
Quantum Information Theory
Quantum Information Science
Group Theory
Irina Arefeva
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,501
1,830
0.215
Dmitri Orlov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,649
2,235
0.336
Mathematics
Algebraic Geometry
Algebra
Noncommutative Geometry
Category Theory
Vladimir L. Popov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,544
1,889
0.289
Alexey Bondal
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,005
1,636
0.327
algebraic geometry
homological algebra
noncommutative geometry
category theory
representation theory
Alexander Kuznetsov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,380
2,495
0.570
Algebraic Geometry
Homological Algebra
Sibasish Ghosh
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,943
2,053
0.521
Yuri Prokhorov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,879
2,036
0.525
Leading Scientific Researcher
Professor
Vladimir Vatutin
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,705
1,141
0.308
probability theory
mathematical biology
Sitabhra Sinha
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,621
1,088
0.300
complex systems
nonlinear dynamics
cardiac modeling
networks
econophysics
Leonid Chekhov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,388
995
0.294
mathematical physics
geometry
Rahul Siddharthan
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,349
980
0.293
Computational biology
condensed-matter physics
Dhiraj Kumar Hazra
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,242
2,416
0.745
Cosmology
Astrophysics
Physics
Dmitry Treschev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,070
818
0.266
Динамические системы
КАМ-теория
Krishnaswamy S
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,068
499
0.163
Memory
Bioinformatics
Structural Biology
membrane proteins
R Shankar
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,061
967
0.316
Kozyrev Sergei
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,955
943
0.319
Meena Mahajan
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,806
1,028
0.366
computational complexity
discrete algorithms
automata theory
Areejit Samal
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,426
1,899
0.783
Network Science
Computational Systems Biology
Natural Products
Environmental Chemicals
Exposome
R Rajesh
Institute of Mathematical Sciences
Chennai, India
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,338
1,164
0.498