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
Composite Materials
Cloaking
Inverse Problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,641
5,630
0.287
* Total Citation Counts Rankings
Ranking Based On Selection :2
Neuroimaging
mathematics
machine learning
neural networks
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,444
7,060
0.363
* Total Citation Counts Rankings
Ranking Based On Selection :3
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,356
3,699
0.202
* Total Citation Counts Rankings
Ranking Based On Selection :4
Mathematical Biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,100
4,423
0.338
* Total Citation Counts Rankings
Ranking Based On Selection :5
Applied Mathematics
Stochastic Processes
Biological Physics
Mathematical Neuroscience
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,729
4,588
0.360
* Total Citation Counts Rankings
Ranking Based On Selection :6
Science
Technology
Engineering and Mathematics (STEM) research and policy
the design of learning environments
assessment
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,412
1,764
0.210
* Total Citation Counts Rankings
Ranking Based On Selection :7
Mathematical Biology
Fluid Dynamics
Blood Clotting
Computational Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,380
2,183
0.342
* Total Citation Counts Rankings
Ranking Based On Selection :8
Partial Differential Equations
Variational Inequalities
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,864
1,063
0.181
* Total Citation Counts Rankings
Ranking Based On Selection :9
statistics
computer experiments
global health
evidence synthesis
oncology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,470
3,837
0.701
* Total Citation Counts Rankings
Ranking Based On Selection :10
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,190
2,455
0.473
* Total Citation Counts Rankings
Ranking Based On Selection :11
optimization
variational methods
solid mechanics
composite
damage propagation
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,139
1,107
0.215
* Total Citation Counts Rankings
Ranking Based On Selection :12
Probability Theory and Stochastic Processes
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,560
1,649
0.362
* Total Citation Counts Rankings
Ranking Based On Selection :13
Commutative Algebra
Representation Theory of finite dimensional algebras
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,410
1,574
0.462
* Total Citation Counts Rankings
Ranking Based On Selection :14
Algebraic Geometry
Commutative Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,421
1,185
0.489
* Total Citation Counts Rankings
Ranking Based On Selection :15
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,276
619
0.272
* Total Citation Counts Rankings
Ranking Based On Selection :16
Probability Theory
Stochastic Processes
Random Media
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,993
997
0.500
* Total Citation Counts Rankings
Ranking Based On Selection :17
Applied Mathematics
Inverse Problems
Optimization
Composites
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,762
710
0.403
* Total Citation Counts Rankings
Ranking Based On Selection :18
Numerical Methods for PDEs
Scientific Computing
Applied Mathematics
Modeling
Grain Growth
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,679
799
0.476
* Total Citation Counts Rankings
Ranking Based On Selection :19
machine learning
scientific computing
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,615
1,459
0.903
* Total Citation Counts Rankings
Ranking Based On Selection :20
inverse problems
cloaking
elasticity
imaging with waves
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,597
978
0.612
* Total Citation Counts Rankings
Ranking Based On Selection :21
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,550
648
0.418
* Total Citation Counts Rankings
Ranking Based On Selection :22
hyperbolic geometry
geometric group theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,180
562
0.476
* Total Citation Counts Rankings
Ranking Based On Selection :23
mathematical biology
stochastic processes
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,146
890
0.777
* Total Citation Counts Rankings
Ranking Based On Selection :24
Statistics
epidemiology
computational statistics
machine learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
960
704
0.733
* Total Citation Counts Rankings
Ranking Based On Selection :25
Probability
Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
919
433
0.471
Graeme Milton
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,641
5,630
0.287
Composite Materials
Cloaking
Inverse Problems
Robert C Welsh
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
19,444
7,060
0.363
Neuroimaging
mathematics
machine learning
neural networks
JP Keener
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,356
3,699
0.202
Frederick R Adler
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,100
4,423
0.338
Paul Bressloff
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,729
4,588
0.360
Applied Mathematics
Stochastic Processes
Biological Physics
Mathematical Neuroscience
Nancy Songer
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,412
1,764
0.210
Science
Technology
Engineering and Mathematics (STEM) research and policy
the design of learning environments
assessment
Aaron Fogelson
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,380
2,183
0.342
Mathematical Biology
Fluid Dynamics
Blood Clotting
Computational Science
Klaus Schmitt
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,864
1,063
0.181
Partial Differential Equations
Variational Inequalities
Ben Haaland
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,470
3,837
0.701
statistics
computer experiments
global health
evidence synthesis
oncology
Christopher Hacon
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,190
2,455
0.473
Andrej Cherkaev
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,139
1,107
0.215
optimization
variational methods
solid mechanics
composite
damage propagation
Davar Khoshnevisan
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,560
1,649
0.362
Probability Theory and Stochastic Processes
Mathematical Physics
Srikanth Iyengar
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,410
1,574
0.462
Commutative Algebra
Representation Theory of finite dimensional algebras
Karl Schwede
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,421
1,185
0.489
Algebraic Geometry
Commutative Algebra
Aaron Bertram
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,276
619
0.272
Firas Rassoul-Agha
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,993
997
0.500
Probability Theory
Stochastic Processes
Random Media
Elena Cherkaev
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,762
710
0.403
Applied Mathematics
Inverse Problems
Optimization
Composites
Yekaterina Epshteyn
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,679
799
0.476
Numerical Methods for PDEs
Scientific Computing
Applied Mathematics
Modeling
Grain Growth
Bao Wang
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,615
1,459
0.903
machine learning
scientific computing
Fernando Guevara Vasquez
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,597
978
0.612
inverse problems
cloaking
elasticity
imaging with waves
Tommaso De Fernex
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,550
648
0.418
Kenneth Bromberg
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,180
562
0.476
hyperbolic geometry
geometric group theory
Sean D Lawley
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,146
890
0.777
mathematical biology
stochastic processes
Andrew Redd
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
960
704
0.733
Statistics
epidemiology
computational statistics
machine learning
Tom Alberts
University of Utah
Salt Lake City, United States
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
919
433
0.471