The AD Scientific Index (Alper-Doger Scientific Index) provides the most comprehensive analysis across 13 main fields and 197 sub-branches at global, national, and regional levels. These analyses are based on indicators such as the H-index, i10-index, and citation count, including their values from the last 6 years. As of Jan 30, 2025, the rankings are determined according to the Total H Index. BETA VERSION: The subject field rankings for the world, regions, countries, and universities are currently in their Beta phase. This is due to the exclusion of (873.690) scientists categorized under ‘Others’, whose profiles have yet to be determined, edited, or classified. As updates are made to these fields, the rankings will be adjusted accordingly. Note: Please keep this in mind while reviewing the rankings. For further details, explore our [University Subject Rankings].
* Total H IndexRankings
Ranking Based On Selection: 1
Mathematical Modelling
Artificial Intelligence
Intuitionistic Fuzzy Sets
Generalized Nets
Number Theory Network Physiology
Metrics
H-Index
i10 Index
Citation Counts
57
257
45,474
* Total H IndexRankings
Ranking Based On Selection: 2
nonlinear PDEs
nonlinear time series analysis
nonlinear fluid dynamics
social dynamics
mathematical economics
Metrics
H-Index
i10 Index
Citation Counts
47
103
5,806
* Total H IndexRankings
Ranking Based On Selection: 3
numerical methods
Metrics
H-Index
i10 Index
Citation Counts
38
183
6,370
* Total H IndexRankings
Ranking Based On Selection: 4
soliton theory
integrable systems
soliton interactions
Metrics
H-Index
i10 Index
Citation Counts
37
99
4,745
* Total H IndexRankings
Ranking Based On Selection: 5
mathematical physics
soliton theory
soliton interactions
Metrics
H-Index
i10 Index
Citation Counts
37
97
4,687
* Total H IndexRankings
Ranking Based On Selection: 6
biomathematics
interval analysis
enzyme kinetics
mathematical modelling
Metrics
H-Index
i10 Index
Citation Counts
33
82
3,839
* Total H IndexRankings
Ranking Based On Selection: 7
numerical methods
information systems
Metrics
H-Index
i10 Index
Citation Counts
31
115
3,943
* Total H IndexRankings
Ranking Based On Selection: 8
Differential Equations
Delays
Impulses
Difference Equations
Fractional Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
26
91
2,966
* Total H IndexRankings
Ranking Based On Selection: 9
Algebra
Metrics
H-Index
i10 Index
Citation Counts
26
80
3,211
* Total H IndexRankings
Ranking Based On Selection: 10
Topology
Convex analysis
Optimization
Banach spaces
Metrics
H-Index
i10 Index
Citation Counts
26
59
2,040
* Total H IndexRankings
Ranking Based On Selection: 11
Iterative Methods
Fixed Point Theory
Uniform Distribution Theory
Metrics
H-Index
i10 Index
Citation Counts
24
36
1,651
* Total H IndexRankings
Ranking Based On Selection: 12
Mathematics: Mathematical analysis
Differential equations
Optimization
Metrics
H-Index
i10 Index
Citation Counts
23
37
1,861
* Total H IndexRankings
Ranking Based On Selection: 13
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Metrics
H-Index
i10 Index
Citation Counts
22
43
1,472
* Total H IndexRankings
Ranking Based On Selection: 14
Approximation Theory
Parallel algorithms and Simulation on Computers
Image Processing and Compression
Plasma Physics
Optimiz
Metrics
H-Index
i10 Index
Citation Counts
21
45
1,533
* Total H IndexRankings
Ranking Based On Selection: 15
Differential equations
Metrics
H-Index
i10 Index
Citation Counts
21
31
1,603
* Total H IndexRankings
Ranking Based On Selection: 16
modeling
machine learning algorithms
Metrics
H-Index
i10 Index
Citation Counts
21
46
2,494
* Total H IndexRankings
Ranking Based On Selection: 17
differential and integral equations
Metrics
H-Index
i10 Index
Citation Counts
21
44
1,483
* Total H IndexRankings
Ranking Based On Selection: 18
Mathematics
Physics
Biology
Metrics
H-Index
i10 Index
Citation Counts
20
46
1,615
* Total H IndexRankings
Ranking Based On Selection: 19
Digital Libraries
eLearning
Personalization
User Modeling
Metrics
H-Index
i10 Index
Citation Counts
20
50
1,306
* Total H IndexRankings
Ranking Based On Selection: 20
Differential Equations
Control Theory
Matrix Theory
Scientific Computations
Voting Theory
Metrics
H-Index
i10 Index
Citation Counts
20
44
3,195
* Total H IndexRankings
Ranking Based On Selection: 21
Mathematics
Mathematical physics
Metrics
H-Index
i10 Index
Citation Counts
20
29
1,432
* Total H IndexRankings
Ranking Based On Selection: 22
mathematics
water
health
Metrics
H-Index
i10 Index
Citation Counts
19
36
1,474
* Total H IndexRankings
Ranking Based On Selection: 23
statistical mechanics
Casimir effect
exactly solvable models
theory of probability
biomechanics
Metrics
H-Index
i10 Index
Citation Counts
19
31
1,437
* Total H IndexRankings
Ranking Based On Selection: 24
Several complex variables
Metrics
H-Index
i10 Index
Citation Counts
18
31
838
* Total H IndexRankings
Ranking Based On Selection: 25
Differential Geometry
Discrete Geometry
E-Learning
Metrics
H-Index
i10 Index
Citation Counts
18
29
793
Krassimir Atanassov
Metrics
H-Index
i10-Index
Citation Counts
57
257
45,474
Mathematical Modelling
Artificial Intelligence
Intuitionistic Fuzzy Sets
Generalized Nets
Number Theory Network Physiology
Nikolay K Vitanov
Metrics
H-Index
i10-Index
Citation Counts
47
103
5,806
nonlinear PDEs
nonlinear time series analysis
nonlinear fluid dynamics
social dynamics
mathematical economics
Nikolay Kyurkchiev
Metrics
H-Index
i10-Index
Citation Counts
38
183
6,370
Vladimir Stefanov Gerdjikov
Metrics
H-Index
i10-Index
Citation Counts
37
99
4,745
soliton theory
integrable systems
soliton interactions
Vladimir Gerdjikov, Vladimir Gerdzhikov
Metrics
H-Index
i10-Index
Citation Counts
37
97
4,687
mathematical physics
soliton theory
soliton interactions
Svetoslav Markov
Metrics
H-Index
i10-Index
Citation Counts
33
82
3,839
biomathematics
interval analysis
enzyme kinetics
mathematical modelling
Anton Iliev
Metrics
H-Index
i10-Index
Citation Counts
31
115
3,943
numerical methods
information systems
Snezhana Hristova
Metrics
H-Index
i10-Index
Citation Counts
26
91
2,966
Differential Equations
Delays
Impulses
Difference Equations
Fractional Differential Equations
Vesselin Drensky
Metrics
H-Index
i10-Index
Citation Counts
26
80
3,211
Petar Kenderov
Metrics
H-Index
i10-Index
Citation Counts
26
59
2,040
Topology
Convex analysis
Optimization
Banach spaces
Petko D. Proinov
Metrics
H-Index
i10-Index
Citation Counts
24
36
1,651
Iterative Methods
Fixed Point Theory
Uniform Distribution Theory
Stepan Tersian
Metrics
H-Index
i10-Index
Citation Counts
23
37
1,861
Mathematics: Mathematical analysis
Differential equations
Optimization
Popova ED
Metrics
H-Index
i10-Index
Citation Counts
22
43
1,472
interval arithmetic
linear systems
enclosure methods
mathematical software
modelling with uncertain data
Pencho G. Marinov
Metrics
H-Index
i10-Index
Citation Counts
21
45
1,533
Approximation Theory
Parallel algorithms and Simulation on Computers
Image Processing and Compression
Plasma Physics
Optimiz
Iliya D. Iliev
Metrics
H-Index
i10-Index
Citation Counts
21
31
1,603
Ivan Ganchev Ivanov
Metrics
H-Index
i10-Index
Citation Counts
21
46
2,494
modeling
machine learning algorithms
Tsviatko Rangelov
Metrics
H-Index
i10-Index
Citation Counts
21
44
1,483
differential and integral equations
Ivaïlo M. Mladenov
Metrics
H-Index
i10-Index
Citation Counts
20
46
1,615
Desislava Paneva-Marinova
Metrics
H-Index
i10-Index
Citation Counts
20
50
1,306
Digital Libraries
eLearning
Personalization
User Modeling
Mihail Konstantinov
Metrics
H-Index
i10-Index
Citation Counts
20
44
3,195
Differential Equations
Control Theory
Matrix Theory
Scientific Computations
Voting Theory
E. Horozov
Metrics
H-Index
i10-Index
Citation Counts
20
29
1,432
Mathematics
Mathematical physics
Georgi Gluhchev
Metrics
H-Index
i10-Index
Citation Counts
19
36
1,474
Daniel Dantchev
Metrics
H-Index
i10-Index
Citation Counts
19
31
1,437
statistical mechanics
Casimir effect
exactly solvable models
theory of probability
biomechanics
Nikolai Nikolov
Metrics
H-Index
i10-Index
Citation Counts
18
31
838
Mancho Manev
Metrics
H-Index
i10-Index
Citation Counts
18
29
793
Differential Geometry
Discrete Geometry
E-Learning