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
Optimization
Inverse Problems
Semidefinite Programming
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,559
3,226
0.337
* Total Citation Counts Rankings
Ranking Based On Selection :2
Partial Differential Equations
Deterministic and Random Dynamical Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,633
4,286
0.646
* Total Citation Counts Rankings
Ranking Based On Selection :3
Applied Math
Numerical Analysis
Differential Equations
Mathematical Modeling
Mathematical Biology.
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,213
1,401
0.633
* Total Citation Counts Rankings
Ranking Based On Selection :4
Applied Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
655
205
0.313
* Total Citation Counts Rankings
Ranking Based On Selection :5
Applied Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
465
91
0.196
* Total Citation Counts Rankings
Ranking Based On Selection :6
dynamical systems
chaos
topology
knot theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
221
40
0.181
* Total Citation Counts Rankings
Ranking Based On Selection :7
applied math. Compact Models for circuit simulators. Delay differential equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
150
89
0.593
* Total Citation Counts Rankings
Ranking Based On Selection :8
Applied Mathematics
Computational Methods
Numerical Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
121
79
0.653
* Total Citation Counts Rankings
Ranking Based On Selection :9
Mathematical Physics
Functional Analysis
Feynman Integral
Quantum Field Theory
Mathematical Foundations of Quantum Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9
5
0.556
Brian Borchers
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,559
3,226
0.337
Optimization
Inverse Problems
Semidefinite Programming
Bixiang Wang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,633
4,286
0.646
Partial Differential Equations
Deterministic and Random Dynamical Systems
Gilberto Gonzalez Parra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,213
1,401
0.633
Applied Math
Numerical Analysis
Differential Equations
Mathematical Modeling
Mathematical Biology.
Anwar Hossain
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
655
205
0.313
William D Stone
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
465
91
0.196
John Starrett
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
221
40
0.181
dynamical systems
chaos
topology
knot theory
Bert Kerr
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
150
89
0.593
applied math. Compact Models for circuit simulators. Delay differential equations
Saulo Orizaga
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
121
79
0.653
Applied Mathematics
Computational Methods
Numerical Analysis
Michael Anthony Maroun
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9
5
0.556
Mathematical Physics
Functional Analysis
Feynman Integral
Quantum Field Theory
Mathematical Foundations of Quantum Theory