The Citation Rankings (Highly Cited Researchers) list 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
Knot theory
knotted surfaces
quantum topology
quandle homology
quandle cocycle invariants
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,775
914
0.242
* Total Citation Counts Rankings
Ranking Based On Selection: 2
Biased Sampling
Nonparametric Methods
Bioinformatics
Fractals
Measurement Errors
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,393
1,158
0.341
* Total Citation Counts Rankings
Ranking Based On Selection: 3
Knot Theory
Symbolic Dynamics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,282
1,536
0.468
* Total Citation Counts Rankings
Ranking Based On Selection: 4
Mathematical biology
modeling
cancer models.
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,494
451
0.302
* Total Citation Counts Rankings
Ranking Based On Selection: 5
Number Theory
Special Functions
Combinatorics
Symbolic Computation
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,268
642
0.506
* Total Citation Counts Rankings
Ranking Based On Selection: 6
Probability and Stochastic Processes
Stochastic Differential Games
Copula theory
Data Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
401
401
1.000
* Total Citation Counts Rankings
Ranking Based On Selection: 7
Analysis and Partial Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
147
103
0.701
* Total Citation Counts Rankings
Ranking Based On Selection: 8
Combinatorics
Spatial Graphs
Contact Topology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
146
79
0.541
* Total Citation Counts Rankings
Ranking Based On Selection: 9
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
92
69
0.750
* Total Citation Counts Rankings
Ranking Based On Selection: 10
Geometric & Combinatorial Representation Theory
Categorification
Low-Dimensional Topology & TQFT
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
59
38
0.644
Scott Carter *
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,775
914
0.242
Knot theory
knotted surfaces
quantum topology
quandle homology
quandle cocycle invariants
Bin Wang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,393
1,158
0.341
Biased Sampling
Nonparametric Methods
Bioinformatics
Fractals
Measurement Errors
Susan G Williams
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,282
1,536
0.468
Knot Theory
Symbolic Dynamics
Maria Audi Kiskowski Byrne
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,494
451
0.302
Mathematical biology
modeling
cancer models.
Armin Straub
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,268
642
0.506
Number Theory
Special Functions
Combinatorics
Symbolic Computation
Paramahansa Pramanik
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
401
401
1.000
Probability and Stochastic Processes
Stochastic Differential Games
Copula theory
Data Science
Nemanja Kosovalic
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
147
103
0.701
Analysis and Partial Differential Equations
Elena Pavelescu
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
146
79
0.541
Combinatorics
Spatial Graphs
Contact Topology
Steven Clontz
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
92
69
0.750
Arik Wilbert
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
59
38
0.644
Geometric & Combinatorial Representation Theory
Categorification
Low-Dimensional Topology & TQFT