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 Feb 04, 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 (870.057) 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 Physics
Differential Equations
Operator Theory
Spectral Theory
Integrable Systems
Metrics
H-Index
i10 Index
Citation Counts
63
240
15,513
* Total H IndexRankings
Ranking Based On Selection: 2
Algorithmic Information Theory
Sampling Theory
Signal & Image Analysis
Microwave Engineering
Evolutionary Informatics
Metrics
H-Index
i10 Index
Citation Counts
61
215
17,001
* Total H IndexRankings
Ranking Based On Selection: 3
Differential operators
spectral theory
special functions
approximation theory
Metrics
H-Index
i10 Index
Citation Counts
29
76
2,568
* Total H IndexRankings
Ranking Based On Selection: 4
Computational mathematics
finite element methods
automation of mathematical software
Metrics
H-Index
i10 Index
Citation Counts
25
42
2,366
* Total H IndexRankings
Ranking Based On Selection: 5
partial differential equations
numerical analysis
splitting
adaptive methods
Metrics
H-Index
i10 Index
Citation Counts
24
57
2,297
* Total H IndexRankings
Ranking Based On Selection: 6
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
23
62
1,957
* Total H IndexRankings
Ranking Based On Selection: 7
Analysis
Partial Differential Equations
Harmonic Analysis
Functional Analysis
Geometric Measure Theory
Metrics
H-Index
i10 Index
Citation Counts
22
36
2,026
* Total H IndexRankings
Ranking Based On Selection: 8
Statistics
Metrics
H-Index
i10 Index
Citation Counts
22
36
2,090
* Total H IndexRankings
Ranking Based On Selection: 9
Numerical Linear Algebra
Metrics
H-Index
i10 Index
Citation Counts
22
24
3,004
* Total H IndexRankings
Ranking Based On Selection: 10
statistics
epidemiology
Metrics
H-Index
i10 Index
Citation Counts
18
36
1,336
* Total H IndexRankings
Ranking Based On Selection: 11
mathematical physics
quantum chaos
quantum graphs
Metrics
H-Index
i10 Index
Citation Counts
13
13
579
* Total H IndexRankings
Ranking Based On Selection: 12
math/science
technology
teacher preparation
professional development
leadership
Metrics
H-Index
i10 Index
Citation Counts
10
10
562
* Total H IndexRankings
Ranking Based On Selection: 13
Harmonic Analysis
Metrics
H-Index
i10 Index
Citation Counts
10
11
295
* Total H IndexRankings
Ranking Based On Selection: 14
Statistical computing and graphics
algebraic statistics
Bayesian statistics
Metrics
H-Index
i10 Index
Citation Counts
8
7
2,851
* Total H IndexRankings
Ranking Based On Selection: 15
Mean field games
mean field control
idempotent probability
Metrics
H-Index
i10 Index
Citation Counts
4
3
106
* Total H IndexRankings
Ranking Based On Selection: 16
Mathematical Physics
Metrics
H-Index
i10 Index
Citation Counts
2
1
17
Fritz Gesztesy
Metrics
H-Index
i10-Index
Citation Counts
63
240
15,513
Mathematical Physics
Differential Equations
Operator Theory
Spectral Theory
Integrable Systems
Robert J Marks II
Metrics
H-Index
i10-Index
Citation Counts
61
215
17,001
Algorithmic Information Theory
Sampling Theory
Signal & Image Analysis
Microwave Engineering
Evolutionary Informatics
Lance L Littlejohn
Metrics
H-Index
i10-Index
Citation Counts
29
76
2,568
Differential operators
spectral theory
special functions
approximation theory
Robert C Kirby
Metrics
H-Index
i10-Index
Citation Counts
25
42
2,366
Computational mathematics
finite element methods
automation of mathematical software
Qin Sheng
Metrics
H-Index
i10-Index
Citation Counts
24
57
2,297
partial differential equations
numerical analysis
splitting
adaptive methods
Manfred Dugas
Metrics
H-Index
i10-Index
Citation Counts
23
62
1,957
Dorina Mitrea
Metrics
H-Index
i10-Index
Citation Counts
22
36
2,026
Analysis
Partial Differential Equations
Harmonic Analysis
Functional Analysis
Geometric Measure Theory
Joon Jin Song
Metrics
H-Index
i10-Index
Citation Counts
22
36
2,090
Ronald B Morgan
Metrics
H-Index
i10-Index
Citation Counts
22
24
3,004
James Stamey
Metrics
H-Index
i10-Index
Citation Counts
18
36
1,336
Jon Harrison
Metrics
H-Index
i10-Index
Citation Counts
13
13
579
mathematical physics
quantum chaos
quantum graphs
Christie Bledsoe
Metrics
H-Index
i10-Index
Citation Counts
10
10
562
math/science
technology
teacher preparation
professional development
leadership
Paul Hagelstein
Metrics
H-Index
i10-Index
Citation Counts
10
11
295
David Kahle
Metrics
H-Index
i10-Index
Citation Counts
8
7
2,851
Statistical computing and graphics
algebraic statistics
Bayesian statistics
Sergio Mayorga
Metrics
H-Index
i10-Index
Citation Counts
4
3
106
Mean field games
mean field control
idempotent probability
Curtis Graham
Metrics
H-Index
i10-Index
Citation Counts
2
1
17