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
Algorithmic Information Theory
Sampling Theory
Signal & Image Analysis
Microwave Engineering
Evolutionary Informatics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,741
3,609
0.216
* Total Citation Counts Rankings
Ranking Based On Selection :2
Mathematical Physics
Differential Equations
Operator Theory
Spectral Theory
Integrable Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,191
3,609
0.238
* Total Citation Counts Rankings
Ranking Based On Selection :3
Numerical Linear Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,966
632
0.213
* Total Citation Counts Rankings
Ranking Based On Selection :4
Statistical computing and graphics
algebraic statistics
Bayesian statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,711
1,967
0.726
* Total Citation Counts Rankings
Ranking Based On Selection :5
Differential operators
spectral theory
special functions
approximation theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,525
673
0.267
* Total Citation Counts Rankings
Ranking Based On Selection :6
Computational mathematics
finite element methods
automation of mathematical software
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,264
1,102
0.487
* Total Citation Counts Rankings
Ranking Based On Selection :7
partial differential equations
numerical analysis
splitting
adaptive methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,245
839
0.374
* Total Citation Counts Rankings
Ranking Based On Selection :8
Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,013
782
0.388
* Total Citation Counts Rankings
Ranking Based On Selection :9
Analysis
Partial Differential Equations
Harmonic Analysis
Functional Analysis
Geometric Measure Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,965
823
0.419
* Total Citation Counts Rankings
Ranking Based On Selection :10
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,954
170
0.087
* Total Citation Counts Rankings
Ranking Based On Selection :11
statistics
epidemiology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,275
532
0.417
* Total Citation Counts Rankings
Ranking Based On Selection :12
mathematical physics
quantum chaos
quantum graphs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
560
193
0.345
* Total Citation Counts Rankings
Ranking Based On Selection :13
math/science
technology
teacher preparation
professional development
leadership
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
530
310
0.585
* Total Citation Counts Rankings
Ranking Based On Selection :14
Harmonic Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
282
136
0.482
* Total Citation Counts Rankings
Ranking Based On Selection :15
Partial differential equations
calculus of variations
optimal transport
mean field games
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
94
94
1.000
* Total Citation Counts Rankings
Ranking Based On Selection :16
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15
12
0.800
Robert J Marks II
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,741
3,609
0.216
Algorithmic Information Theory
Sampling Theory
Signal & Image Analysis
Microwave Engineering
Evolutionary Informatics
Fritz Gesztesy
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,191
3,609
0.238
Mathematical Physics
Differential Equations
Operator Theory
Spectral Theory
Integrable Systems
Ronald B Morgan
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,966
632
0.213
David Kahle
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,711
1,967
0.726
Statistical computing and graphics
algebraic statistics
Bayesian statistics
Lance L Littlejohn
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,525
673
0.267
Differential operators
spectral theory
special functions
approximation theory
Robert C Kirby
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,264
1,102
0.487
Computational mathematics
finite element methods
automation of mathematical software
Qin Sheng
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,245
839
0.374
partial differential equations
numerical analysis
splitting
adaptive methods
Joon Jin Song
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,013
782
0.388
Dorina Mitrea
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,965
823
0.419
Analysis
Partial Differential Equations
Harmonic Analysis
Functional Analysis
Geometric Measure Theory
Manfred Dugas
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,954
170
0.087
James Stamey
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,275
532
0.417
Jon Harrison
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
560
193
0.345
mathematical physics
quantum chaos
quantum graphs
Christie Bledsoe
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
530
310
0.585
math/science
technology
teacher preparation
professional development
leadership
Paul Hagelstein
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
282
136
0.482
Sergio Mayorga
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
94
94
1.000
Partial differential equations
calculus of variations
optimal transport
mean field games
Curtis Graham
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15
12
0.800