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
Singular perturbations
Numerical Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,817
3,066
0.392
* Total Citation Counts Rankings
Ranking Based On Selection :2
Mathematical Finance
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,056
812
0.395
* Total Citation Counts Rankings
Ranking Based On Selection :3
Volterra equations
differential equations
stochastic differential equations
difference equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,769
435
0.246
* Total Citation Counts Rankings
Ranking Based On Selection :4
General Relativity
Mathematics Education
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,440
516
0.358
* Total Citation Counts Rankings
Ranking Based On Selection :5
statistical signal processing
machine learning
image processing
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,036
561
0.542
* Total Citation Counts Rankings
Ranking Based On Selection :6
Mathematics education
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
805
560
0.696
* Total Citation Counts Rankings
Ranking Based On Selection :7
statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
605
119
0.197
* Total Citation Counts Rankings
Ranking Based On Selection :8
Probability Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
136
75
0.551
* Total Citation Counts Rankings
Ranking Based On Selection :9
mathematics education
teacher identity
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15
15
1.000
Eugene O Riordan
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,817
3,066
0.392
Singular perturbations
Numerical Analysis
Paolo Guasoni
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,056
812
0.395
John Ad Appleby
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,769
435
0.246
Volterra equations
differential equations
stochastic differential equations
difference equations
Brien Nolan
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,440
516
0.358
General Relativity
Mathematics Education
Vladimir A Krylov
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,036
561
0.542
statistical signal processing
machine learning
image processing
Eabhnat Ní Fhloinn
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
805
560
0.696
Jane M Horgan
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
605
119
0.197
Martin Venker
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
136
75
0.551
Stephen Quirke
Dublin City University
Dublin, Ireland
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15
15
1.000
mathematics education
teacher identity