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
Mathematical Modelling
Artificial Intelligence
Intuitionistic Fuzzy Sets
Generalized Nets
Number Theory Network Physiology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
44,345
21,735
0.490
* Total Citation Counts Rankings
Ranking Based On Selection :2
numerical methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,249
4,422
0.708
* Total Citation Counts Rankings
Ranking Based On Selection :3
nonlinear PDEs
nonlinear time series analysis
nonlinear fluid dynamics
social dynamics
mathematical economics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,762
3,287
0.570
* Total Citation Counts Rankings
Ranking Based On Selection :4
soliton theory
integrable systems
soliton interactions
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,717
1,469
0.311
* Total Citation Counts Rankings
Ranking Based On Selection :5
mathematical physics
soliton theory
soliton interactions
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,654
1,454
0.312
* Total Citation Counts Rankings
Ranking Based On Selection :6
numerical methods
information systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,851
2,998
0.778
* Total Citation Counts Rankings
Ranking Based On Selection :7
biomathematics
interval analysis
enzyme kinetics
mathematical modelling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,798
1,575
0.415
* Total Citation Counts Rankings
Ranking Based On Selection :8
Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,186
944
0.296
* Total Citation Counts Rankings
Ranking Based On Selection :9
Differential Equations
Control Theory
Matrix Theory
Scientific Computations
Voting Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,153
742
0.235
* Total Citation Counts Rankings
Ranking Based On Selection :10
Differential Equations
Delays
Impulses
Difference Equations
Fractional Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,871
1,584
0.552
* Total Citation Counts Rankings
Ranking Based On Selection :11
modeling
machine learning algorithms
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,403
1,355
0.564
* Total Citation Counts Rankings
Ranking Based On Selection :12
Fractional Calculus
Operational Calculus
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,027
1,176
0.580
* Total Citation Counts Rankings
Ranking Based On Selection :13
Topology
Convex analysis
Optimization
Banach spaces
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,026
444
0.219
* Total Citation Counts Rankings
Ranking Based On Selection :14
Mathematics: Mathematical analysis
Differential equations
Optimization
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,824
658
0.361
* Total Citation Counts Rankings
Ranking Based On Selection :15
Iterative Methods
Fixed Point Theory
Uniform Distribution Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,636
853
0.521
* Total Citation Counts Rankings
Ranking Based On Selection :16
Mathematics
Physics
Biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,596
577
0.362
* Total Citation Counts Rankings
Ranking Based On Selection :17
Differential equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,592
435
0.273
* Total Citation Counts Rankings
Ranking Based On Selection :18
Approximation Theory
Parallel algorithms and Simulation on Computers
Image Processing and Compression
Plasma Physics
Optimiz
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,511
742
0.491
* Total Citation Counts Rankings
Ranking Based On Selection :19
longitudinal studies on mathematics education
mathematics teacher training
mathematics pedagogy and teaching
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,477
623
0.422
* Total Citation Counts Rankings
Ranking Based On Selection :20
differential and integral equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,470
604
0.411
* Total Citation Counts Rankings
Ranking Based On Selection :21
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,463
365
0.249
* Total Citation Counts Rankings
Ranking Based On Selection :22
mathematics
water
health
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,454
635
0.437
* Total Citation Counts Rankings
Ranking Based On Selection :23
Mathematics
Mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,423
282
0.198
* Total Citation Counts Rankings
Ranking Based On Selection :24
statistical mechanics
Casimir effect
exactly solvable models
theory of probability
biomechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,413
380
0.269
* Total Citation Counts Rankings
Ranking Based On Selection :25
Digital Libraries
eLearning
Personalization
User Modeling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,288
508
0.394
Krassimir Atanassov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
44,345
21,735
0.490
Mathematical Modelling
Artificial Intelligence
Intuitionistic Fuzzy Sets
Generalized Nets
Number Theory Network Physiology
Nikolay Kyurkchiev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,249
4,422
0.708
Nikolay K Vitanov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,762
3,287
0.570
nonlinear PDEs
nonlinear time series analysis
nonlinear fluid dynamics
social dynamics
mathematical economics
Vladimir Stefanov Gerdjikov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,717
1,469
0.311
soliton theory
integrable systems
soliton interactions
Vladimir Gerdjikov, Vladimir Gerdzhikov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,654
1,454
0.312
mathematical physics
soliton theory
soliton interactions
Anton Iliev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,851
2,998
0.778
numerical methods
information systems
Svetoslav Markov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,798
1,575
0.415
biomathematics
interval analysis
enzyme kinetics
mathematical modelling
Vesselin Drensky
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,186
944
0.296
Mihail Konstantinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,153
742
0.235
Differential Equations
Control Theory
Matrix Theory
Scientific Computations
Voting Theory
Snezhana Hristova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,871
1,584
0.552
Differential Equations
Delays
Impulses
Difference Equations
Fractional Differential Equations
Ivan Ganchev Ivanov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,403
1,355
0.564
modeling
machine learning algorithms
Emilia Bazhlekova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,027
1,176
0.580
Fractional Calculus
Operational Calculus
Mathematical Physics
Petar Kenderov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,026
444
0.219
Topology
Convex analysis
Optimization
Banach spaces
Stepan Tersian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,824
658
0.361
Mathematics: Mathematical analysis
Differential equations
Optimization
Petko D. Proinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,636
853
0.521
Iterative Methods
Fixed Point Theory
Uniform Distribution Theory
Ivaïlo M. Mladenov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,596
577
0.362
Iliya D. Iliev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,592
435
0.273
Pencho G. Marinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,511
742
0.491
Approximation Theory
Parallel algorithms and Simulation on Computers
Image Processing and Compression
Plasma Physics
Optimiz
Kiril Bankov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,477
623
0.422
longitudinal studies on mathematics education
mathematics teacher training
mathematics pedagogy and teaching
Tsviatko Rangelov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,470
604
0.411
differential and integral equations
Popova ED
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,463
365
0.249
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Georgi Gluhchev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,454
635
0.437
E. Horozov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,423
282
0.198
Mathematics
Mathematical physics
Daniel Dantchev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,413
380
0.269
statistical mechanics
Casimir effect
exactly solvable models
theory of probability
biomechanics
Desislava Paneva-Marinova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,288
508
0.394
Digital Libraries
eLearning
Personalization
User Modeling