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
43,451
20,967
0.483
* Total Citation Counts Rankings
Ranking Based On Selection :2
numerical methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,207
4,382
0.706
* 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
5,730
3,258
0.569
* 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
4,694
1,447
0.308
* 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
4,638
1,438
0.310
* Total Citation Counts Rankings
Ranking Based On Selection :6
numerical methods
information systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,825
2,972
0.777
* 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
3,770
1,547
0.410
* Total Citation Counts Rankings
Ranking Based On Selection :8
Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,146
921
0.293
* 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
3,131
729
0.233
* 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
2,827
1,541
0.545
* Total Citation Counts Rankings
Ranking Based On Selection :11
modeling
machine learning algorithms
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,370
1,324
0.559
* Total Citation Counts Rankings
Ranking Based On Selection :12
Topology
Convex analysis
Optimization
Banach spaces
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,014
433
0.215
* Total Citation Counts Rankings
Ranking Based On Selection :13
Fractional Calculus
Operational Calculus
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,986
1,138
0.573
* 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
1,803
639
0.354
* 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
1,622
838
0.517
* Total Citation Counts Rankings
Ranking Based On Selection :16
Differential equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,587
430
0.271
* Total Citation Counts Rankings
Ranking Based On Selection :17
Mathematics
Physics
Biology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,571
556
0.354
* 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
1,491
728
0.488
* Total Citation Counts Rankings
Ranking Based On Selection :19
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,461
362
0.248
* Total Citation Counts Rankings
Ranking Based On Selection :20
longitudinal studies on mathematics education
mathematics teacher training
mathematics pedagogy and teaching
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,458
602
0.413
* Total Citation Counts Rankings
Ranking Based On Selection :21
differential and integral equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,442
576
0.399
* Total Citation Counts Rankings
Ranking Based On Selection :22
mathematics
water
health
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,441
623
0.432
* Total Citation Counts Rankings
Ranking Based On Selection :23
Mathematics
Mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,422
281
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
1,403
370
0.264
* 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
1,237
459
0.371
Krassimir Atanassov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
43,451
20,967
0.483
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
6,207
4,382
0.706
Nikolay K Vitanov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,730
3,258
0.569
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
4,694
1,447
0.308
soliton theory
integrable systems
soliton interactions
Vladimir Gerdjikov, Vladimir Gerdzhikov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,638
1,438
0.310
mathematical physics
soliton theory
soliton interactions
Anton Iliev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,825
2,972
0.777
numerical methods
information systems
Svetoslav Markov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,770
1,547
0.410
biomathematics
interval analysis
enzyme kinetics
mathematical modelling
Vesselin Drensky
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,146
921
0.293
Mihail Konstantinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,131
729
0.233
Differential Equations
Control Theory
Matrix Theory
Scientific Computations
Voting Theory
Snezhana Hristova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,827
1,541
0.545
Differential Equations
Delays
Impulses
Difference Equations
Fractional Differential Equations
Ivan Ganchev Ivanov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,370
1,324
0.559
modeling
machine learning algorithms
Petar Kenderov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,014
433
0.215
Topology
Convex analysis
Optimization
Banach spaces
Emilia Bazhlekova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,986
1,138
0.573
Fractional Calculus
Operational Calculus
Mathematical Physics
Stepan Tersian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,803
639
0.354
Mathematics: Mathematical analysis
Differential equations
Optimization
Petko D. Proinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,622
838
0.517
Iterative Methods
Fixed Point Theory
Uniform Distribution Theory
Iliya D. Iliev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,587
430
0.271
Ivaïlo M. Mladenov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,571
556
0.354
Pencho G. Marinov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,491
728
0.488
Approximation Theory
Parallel algorithms and Simulation on Computers
Image Processing and Compression
Plasma Physics
Optimiz
Popova ED
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,461
362
0.248
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Kiril Bankov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,458
602
0.413
longitudinal studies on mathematics education
mathematics teacher training
mathematics pedagogy and teaching
Tsviatko Rangelov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,442
576
0.399
differential and integral equations
Georgi Gluhchev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,441
623
0.432
E. Horozov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,422
281
0.198
Mathematics
Mathematical physics
Daniel Dantchev
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,403
370
0.264
statistical mechanics
Casimir effect
exactly solvable models
theory of probability
biomechanics
Desislava Paneva-Marinova
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,237
459
0.371
Digital Libraries
eLearning
Personalization
User Modeling