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
Matrix Analysis
Operator Algebras
Operator Theory
Quantum Probability
Metrics
H-Index
i10 Index
Citation Counts
43
105
7,949
* Total H IndexRankings
Ranking Based On Selection: 2
Multiscale analysis
Material modeling
Nonlinear analysis
Failure analysis
Optimization
Metrics
H-Index
i10 Index
Citation Counts
36
106
6,523
* Total H IndexRankings
Ranking Based On Selection: 3
geometry
Metrics
H-Index
i10 Index
Citation Counts
19
21
2,473
* Total H IndexRankings
Ranking Based On Selection: 4
Algebraic Combinatorics
Algebraic Graph Theory
Spectral Graph Theory
Metrics
H-Index
i10 Index
Citation Counts
16
20
1,019
* Total H IndexRankings
Ranking Based On Selection: 5
mathematical physics
Metrics
H-Index
i10 Index
Citation Counts
14
17
548
* Total H IndexRankings
Ranking Based On Selection: 6
Statistics
Marketing
Econometrics
Business Data Science
Metrics
H-Index
i10 Index
Citation Counts
13
15
946
* Total H IndexRankings
Ranking Based On Selection: 7
differential equation
Metrics
H-Index
i10 Index
Citation Counts
12
20
520
* Total H IndexRankings
Ranking Based On Selection: 8
mathematical modeling
cyber physical AI
bio-inspired engineering
complex systems
neural networks
Metrics
H-Index
i10 Index
Citation Counts
11
12
391
* Total H IndexRankings
Ranking Based On Selection: 9
Noncommutative geometry
KK-theory
topological phases of matter
Metrics
H-Index
i10 Index
Citation Counts
9
9
403
* Total H IndexRankings
Ranking Based On Selection: 10
Ricci flow
Alexandrov spaces
Riemannian geometry
Metric geometry
Metrics
H-Index
i10 Index
Citation Counts
8
8
219
* Total H IndexRankings
Ranking Based On Selection: 11
mathematical sociology
computational social science
Metrics
H-Index
i10 Index
Citation Counts
7
5
194
* Total H IndexRankings
Ranking Based On Selection: 12
K-theory
index theory
topological insulators
Metrics
H-Index
i10 Index
Citation Counts
5
4
174
* Total H IndexRankings
Ranking Based On Selection: 13
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
5
0
36
* Total H IndexRankings
Ranking Based On Selection: 14
Quantum Painleve systems
quantum groups
2-dimensional conformal field theory
Metrics
H-Index
i10 Index
Citation Counts
5
3
127
* Total H IndexRankings
Ranking Based On Selection: 15
algebraic geometry
Metrics
H-Index
i10 Index
Citation Counts
4
2
55
* Total H IndexRankings
Ranking Based On Selection: 16
Statistics
Metrics
H-Index
i10 Index
Citation Counts
4
2
52
* Total H IndexRankings
Ranking Based On Selection: 17
Delay differential equations
Dynamical Systems theory and its applications
Applied Mathematics
Metrics
H-Index
i10 Index
Citation Counts
3
2
43
* Total H IndexRankings
Ranking Based On Selection: 18
Geoscience
Differential geometry
Information geometry
Metrics
H-Index
i10 Index
Citation Counts
3
1
46
* Total H IndexRankings
Ranking Based On Selection: 19
Numerical Analysis
Computational Modelling
Cardiovascular Modelling
Metrics
H-Index
i10 Index
Citation Counts
3
1
28
* Total H IndexRankings
Ranking Based On Selection: 20
Differential Geometry
Metrics
H-Index
i10 Index
Citation Counts
3
0
24
* Total H IndexRankings
Ranking Based On Selection: 21
Partial Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
3
0
11
* Total H IndexRankings
Ranking Based On Selection: 22
Mathematical modeling and simulation
Numerical analysis
Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
3
1
23
* Total H IndexRankings
Ranking Based On Selection: 23
Differential geometry
Metric geometry
RCD spaces
Metrics
H-Index
i10 Index
Citation Counts
2
1
15
* Total H IndexRankings
Ranking Based On Selection: 24
Mathematical Logic
Modal Logic
Reverse Mathematics
Metrics
H-Index
i10 Index
Citation Counts
2
0
17
* Total H IndexRankings
Ranking Based On Selection: 25
Data Science
Mathematics
Number Theory
Machine Learning
Advanced Analytics
Metrics
H-Index
i10 Index
Citation Counts
2
0
12
Matrix Analysis
Operator Algebras
Operator Theory
Quantum Probability
Kenjiro Terada
Tohoku University
Sendai, Japan
Metrics
H-Index
i10-Index
Citation Counts
36
106
6,523
Multiscale analysis
Material modeling
Nonlinear analysis
Failure analysis
Optimization
Katsuei Kenmotsu
Tohoku University
Sendai, Japan
Metrics
H-Index
i10-Index
Citation Counts
19
21
2,473
Algebraic Combinatorics
Algebraic Graph Theory
Spectral Graph Theory
Statistics
Marketing
Econometrics
Business Data Science
mathematical modeling
cyber physical AI
bio-inspired engineering
complex systems
neural networks
Noncommutative geometry
KK-theory
topological phases of matter
Ricci flow
Alexandrov spaces
Riemannian geometry
Metric geometry
mathematical sociology
computational social science
K-theory
index theory
topological insulators
Quantum Painleve systems
quantum groups
2-dimensional conformal field theory
Mineaki Ohishi|大石 峰暉
Tohoku University
Sendai, Japan
Metrics
H-Index
i10-Index
Citation Counts
4
2
52
Delay differential equations
Dynamical Systems theory and its applications
Applied Mathematics
Geoscience
Differential geometry
Information geometry
Surabhi Rathore|KM Surabhi
Tohoku University
Sendai, Japan
Metrics
H-Index
i10-Index
Citation Counts
3
1
28
Numerical Analysis
Computational Modelling
Cardiovascular Modelling
Partial Differential Equations
Mathematical modeling and simulation
Numerical analysis
Differential Equations
Differential geometry
Metric geometry
RCD spaces
Mathematical Logic
Modal Logic
Reverse Mathematics
Data Science
Mathematics
Number Theory
Machine Learning
Advanced Analytics