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
Theoretical Physics
Quantum Mechanics
Open quantum systems
Fractional Calculus
Fractional Dynamics
Metrics
H-Index
i10 Index
Citation Counts
60
178
13,478
* Total H IndexRankings
Ranking Based On Selection: 2
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
42
118
12,165
* Total H IndexRankings
Ranking Based On Selection: 3
Mathematical Physics
Quantum Field Theory
Electromagnetism
Metrics
H-Index
i10 Index
Citation Counts
34
49
4,903
* Total H IndexRankings
Ranking Based On Selection: 4
Inverse problems
ill-posed problems
mathematical physics
Metrics
H-Index
i10 Index
Citation Counts
27
101
7,156
* Total H IndexRankings
Ranking Based On Selection: 5
light scattering
nanoplasmonics
modeling
simulation
Metrics
H-Index
i10 Index
Citation Counts
18
33
1,460
* Total H IndexRankings
Ranking Based On Selection: 6
Inverse problems
Parallel computing
Numerical analysis
Metrics
H-Index
i10 Index
Citation Counts
17
34
995
* Total H IndexRankings
Ranking Based On Selection: 7
математическое моделирование
международные отношения
количественный анализ данных
социально-политическая дестабилизация
Metrics
H-Index
i10 Index
Citation Counts
17
32
1,016
* Total H IndexRankings
Ranking Based On Selection: 8
Bioinformatics
Mathematics
Medical informatics
Metrics
H-Index
i10 Index
Citation Counts
17
28
967
* Total H IndexRankings
Ranking Based On Selection: 9
mathematical modeling
catalysis
Metrics
H-Index
i10 Index
Citation Counts
15
25
768
* Total H IndexRankings
Ranking Based On Selection: 10
differential equations
geometry
control sciences
Metrics
H-Index
i10 Index
Citation Counts
14
19
918
* Total H IndexRankings
Ranking Based On Selection: 11
mathematical physics
dynamic systems and control
numerical methods
Metrics
H-Index
i10 Index
Citation Counts
13
16
627
* Total H IndexRankings
Ranking Based On Selection: 12
applied mathematical modelling
asphalt paving materials
thermodynamic parameters
pavement evaluation
Metrics
H-Index
i10 Index
Citation Counts
13
30
557
* Total H IndexRankings
Ranking Based On Selection: 13
mathematical methods of image processing
Metrics
H-Index
i10 Index
Citation Counts
12
19
540
* Total H IndexRankings
Ranking Based On Selection: 14
Discrete mathematics
clone theory
Automata Theory
Constraint Satisfaction Problem
Metrics
H-Index
i10 Index
Citation Counts
11
13
853
* Total H IndexRankings
Ranking Based On Selection: 15
philosophy of mathematics
philosophy of mathematical practice
science and religion
Pavel Florensky
философия мат
Metrics
H-Index
i10 Index
Citation Counts
7
3
114
* Total H IndexRankings
Ranking Based On Selection: 16
Mathematical Modeling of Natural Flows Down Slopes
Hydrodynamic Instability of Submerged Jets
Metrics
H-Index
i10 Index
Citation Counts
6
5
129
* Total H IndexRankings
Ranking Based On Selection: 17
дифференциальные уравнения
уравнения математической физики
краевы
Metrics
H-Index
i10 Index
Citation Counts
6
1
78
* Total H IndexRankings
Ranking Based On Selection: 18
discrete mathematics
computer science
Metrics
H-Index
i10 Index
Citation Counts
6
2
116
* Total H IndexRankings
Ranking Based On Selection: 19
Applied Mathematics
Discrete Mathematics
Scheduling Theory
Operations Research
Metrics
H-Index
i10 Index
Citation Counts
5
2
46
* Total H IndexRankings
Ranking Based On Selection: 20
Deep Learning
Machine Learning
Inverse problems
Metrics
H-Index
i10 Index
Citation Counts
5
5
99
* Total H IndexRankings
Ranking Based On Selection: 21
Computational mathematics
Metrics
H-Index
i10 Index
Citation Counts
5
5
70
* Total H IndexRankings
Ranking Based On Selection: 22
large deviation
limit theorem
nonparametric statistics
Metrics
H-Index
i10 Index
Citation Counts
5
1
70
* Total H IndexRankings
Ranking Based On Selection: 23
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
4
0
32
* Total H IndexRankings
Ranking Based On Selection: 24
Mathematics
Computer Scince
Metrics
H-Index
i10 Index
Citation Counts
4
0
22
* Total H IndexRankings
Ranking Based On Selection: 25
probability theory
normal approximation
central limit theorem
Metrics
H-Index
i10 Index
Citation Counts
3
1
26
Vasily E. Tarasov
Metrics
H-Index
i10-Index
Citation Counts
60
178
13,478
Theoretical Physics
Quantum Mechanics
Open quantum systems
Fractional Calculus
Fractional Dynamics
Vladimir Bogachev
Metrics
H-Index
i10-Index
Citation Counts
42
118
12,165
Andrei Davydychev
Metrics
H-Index
i10-Index
Citation Counts
34
49
4,903
Mathematical Physics
Quantum Field Theory
Electromagnetism
Yagola Anatoly
Metrics
H-Index
i10-Index
Citation Counts
27
101
7,156
Inverse problems
ill-posed problems
mathematical physics
Yuri Eremin
Metrics
H-Index
i10-Index
Citation Counts
18
33
1,460
light scattering
nanoplasmonics
modeling
simulation
Dmitry Lukyanenko
Metrics
H-Index
i10-Index
Citation Counts
17
34
995
Inverse problems
Parallel computing
Numerical analysis
Билюга Станислав Эдуардович
Metrics
H-Index
i10-Index
Citation Counts
17
32
1,016
математическое моделирование
международные отношения
количественный анализ данных
социально-политическая дестабилизация
Andrei Alexeevski
Metrics
H-Index
i10-Index
Citation Counts
17
28
967
Bioinformatics
Mathematics
Medical informatics
NV Peskov
Metrics
H-Index
i10-Index
Citation Counts
15
25
768
mathematical modeling
catalysis
Alexei Kushner
Metrics
H-Index
i10-Index
Citation Counts
14
19
918
differential equations
geometry
control sciences
Nikolai В. Melnikov
Metrics
H-Index
i10-Index
Citation Counts
13
16
627
mathematical physics
dynamic systems and control
numerical methods
Михаил Александрович Завьялов
Metrics
H-Index
i10-Index
Citation Counts
13
30
557
applied mathematical modelling
asphalt paving materials
thermodynamic parameters
pavement evaluation
Andrey Nasonov
Metrics
H-Index
i10-Index
Citation Counts
12
19
540
mathematical methods of image processing
Zhuk Dmitriy|Zhuk Dmitry, Жук Дмитрий Николаевич
Metrics
H-Index
i10-Index
Citation Counts
11
13
853
Discrete mathematics
clone theory
Automata Theory
Constraint Satisfaction Problem
Vladislav (Vlad) Shaposhnikov, Владислав Шапошников
Metrics
H-Index
i10-Index
Citation Counts
7
3
114
philosophy of mathematics
philosophy of mathematical practice
science and religion
Pavel Florensky
философия мат
Julia Zayko
Metrics
H-Index
i10-Index
Citation Counts
6
5
129
Mathematical Modeling of Natural Flows Down Slopes
Hydrodynamic Instability of Submerged Jets
Зайцева Наталья Владимировна
Metrics
H-Index
i10-Index
Citation Counts
6
1
78
дифференциальные уравнения
уравнения математической физики
краевы
Selezneva, Svetlana
Metrics
H-Index
i10-Index
Citation Counts
6
2
116
discrete mathematics
computer science
Ilia Tarasov
Metrics
H-Index
i10-Index
Citation Counts
5
2
46
Applied Mathematics
Discrete Mathematics
Scheduling Theory
Operations Research
Temur Isaev
Metrics
H-Index
i10-Index
Citation Counts
5
5
99
Deep Learning
Machine Learning
Inverse problems
Vladimir Pimanov
Metrics
H-Index
i10-Index
Citation Counts
5
5
70
Alexander Shklyaev
Metrics
H-Index
i10-Index
Citation Counts
5
1
70
large deviation
limit theorem
nonparametric statistics
Igor V. Savitskii (И. В. Савицкий, Iv Savitskiy)
Metrics
H-Index
i10-Index
Citation Counts
4
0
32
Victoria Zephyrova
Metrics
H-Index
i10-Index
Citation Counts
4
0
22
Руслан Габдуллин, Ruslan Gabdullin
Metrics
H-Index
i10-Index
Citation Counts
3
1
26
probability theory
normal approximation
central limit theorem