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 02, 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 (870.053) 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
Matematica
Metrics
H-Index
i10 Index
Citation Counts
83
213
35,233
* Total H IndexRankings
Ranking Based On Selection: 2
Numerical Linear Algebra
Scientific Computing
Network Science
Metrics
H-Index
i10 Index
Citation Counts
53
110
15,665
* Total H IndexRankings
Ranking Based On Selection: 3
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
40
78
6,281
* Total H IndexRankings
Ranking Based On Selection: 4
algebraic geometry
Metrics
H-Index
i10 Index
Citation Counts
31
49
5,596
* Total H IndexRankings
Ranking Based On Selection: 5
Ricci curvature
metric geometry
incompressible fluid mechanics
Metrics
H-Index
i10 Index
Citation Counts
19
28
1,179
* Total H IndexRankings
Ranking Based On Selection: 6
stochastic processes
optimal transport
quantum information theory
theory of machine learning
Metrics
H-Index
i10 Index
Citation Counts
19
26
1,229
* Total H IndexRankings
Ranking Based On Selection: 7
Metric geometry
Sobolev spaces
RCD spaces
sets of finite perimeter
Metrics
H-Index
i10 Index
Citation Counts
15
23
795
* Total H IndexRankings
Ranking Based On Selection: 8
Partial differential equations
Calculus of Vartiations
Calderón-Zygmund estimates
degenerate equations and systems
Metrics
H-Index
i10 Index
Citation Counts
14
16
1,735
* Total H IndexRankings
Ranking Based On Selection: 9
Geometric Measure Theory
Calculus of Variations
Metrics
H-Index
i10 Index
Citation Counts
11
12
428
* Total H IndexRankings
Ranking Based On Selection: 10
geometria algebrica
Metrics
H-Index
i10 Index
Citation Counts
9
8
187
* Total H IndexRankings
Ranking Based On Selection: 11
geometric group theory
Metrics
H-Index
i10 Index
Citation Counts
8
8
169
* Total H IndexRankings
Ranking Based On Selection: 12
Number theory
arithmetic geometry
representation theory
Metrics
H-Index
i10 Index
Citation Counts
8
7
358
* Total H IndexRankings
Ranking Based On Selection: 13
Probability Theory
Stochastic Analysis
Metrics
H-Index
i10 Index
Citation Counts
7
6
147
* Total H IndexRankings
Ranking Based On Selection: 14
Numerical Analysis
Optimal Control
Hamilton-Jacobi-Bellman equations
Metrics
H-Index
i10 Index
Citation Counts
7
5
171
* Total H IndexRankings
Ranking Based On Selection: 15
Probability
Analysis of PDEs
Metrics
H-Index
i10 Index
Citation Counts
7
5
148
* Total H IndexRankings
Ranking Based On Selection: 16
Partial differential equations
Optimal transportation
Entropic optimal transport
Metrics
H-Index
i10 Index
Citation Counts
7
4
107
* Total H IndexRankings
Ranking Based On Selection: 17
Geometric measure theory
Metrics
H-Index
i10 Index
Citation Counts
6
6
125
* Total H IndexRankings
Ranking Based On Selection: 18
geometric analysis
harmonic maps
Dirac-harmonic maps
mathematical physics
Metrics
H-Index
i10 Index
Citation Counts
6
4
95
* Total H IndexRankings
Ranking Based On Selection: 19
Geometric Analysis
PDEs
Geometric Measure Theory
Calculus of Variations.
Metrics
H-Index
i10 Index
Citation Counts
5
3
68
* Total H IndexRankings
Ranking Based On Selection: 20
Algebraic geometry
arithmetic geometry
Metrics
H-Index
i10 Index
Citation Counts
5
2
82
* Total H IndexRankings
Ranking Based On Selection: 21
Geometrical analysis
differential geometry
Metrics
H-Index
i10 Index
Citation Counts
5
2
73
* Total H IndexRankings
Ranking Based On Selection: 22
Geometric Group Theory
Geometric Topology
Metrics
H-Index
i10 Index
Citation Counts
4
4
88
* Total H IndexRankings
Ranking Based On Selection: 23
Numerical Linear Algebra
Matrix Functions
Krylov Subspace Methods
Randomized Sketching
Metrics
H-Index
i10 Index
Citation Counts
4
2
61
* Total H IndexRankings
Ranking Based On Selection: 24
Numerical Analysis
Numerical Linear Algebra
Iterative Methods
PDE-Constrained Optimization
Metrics
H-Index
i10 Index
Citation Counts
4
2
59
* Total H IndexRankings
Ranking Based On Selection: 25
Number theory
Metrics
H-Index
i10 Index
Citation Counts
4
0
40
Luigi Ambrosio
Metrics
H-Index
i10-Index
Citation Counts
83
213
35,233
Michele Benzi
Metrics
H-Index
i10-Index
Citation Counts
53
110
15,665
Numerical Linear Algebra
Scientific Computing
Network Science
Andrea Malchiodi
Metrics
H-Index
i10-Index
Citation Counts
40
78
6,281
Angelo Vistoli
Metrics
H-Index
i10-Index
Citation Counts
31
49
5,596
Elia Bruè
Metrics
H-Index
i10-Index
Citation Counts
19
28
1,179
Ricci curvature
metric geometry
incompressible fluid mechanics
Dario Trevisan
Metrics
H-Index
i10-Index
Citation Counts
19
26
1,229
stochastic processes
optimal transport
quantum information theory
theory of machine learning
Enrico Pasqualetto
Metrics
H-Index
i10-Index
Citation Counts
15
23
795
Metric geometry
Sobolev spaces
RCD spaces
sets of finite perimeter
Paolo Baroni
Metrics
H-Index
i10-Index
Citation Counts
14
16
1,735
Partial differential equations
Calculus of Vartiations
Calderón-Zygmund estimates
degenerate equations and systems
Giovanni Eugenio Comi
Metrics
H-Index
i10-Index
Citation Counts
11
12
428
Geometric Measure Theory
Calculus of Variations
Margherita Lelli-Chiesa
Metrics
H-Index
i10-Index
Citation Counts
9
8
187
Elia Fioravanti
Metrics
H-Index
i10-Index
Citation Counts
8
8
169
Maurizio Monge
Metrics
H-Index
i10-Index
Citation Counts
8
7
358
Number theory
arithmetic geometry
representation theory
Francesco Grotto
Metrics
H-Index
i10-Index
Citation Counts
7
6
147
Probability Theory
Stochastic Analysis
Luca Saluzzi
Metrics
H-Index
i10-Index
Citation Counts
7
5
171
Numerical Analysis
Optimal Control
Hamilton-Jacobi-Bellman equations
Eliseo Luongo
Metrics
H-Index
i10-Index
Citation Counts
7
5
148
Sumiya Baasandorj
Metrics
H-Index
i10-Index
Citation Counts
7
4
107
Partial differential equations
Optimal transportation
Entropic optimal transport
Andrea Merlo
Metrics
H-Index
i10-Index
Citation Counts
6
6
125
Ruijun Wu
Metrics
H-Index
i10-Index
Citation Counts
6
4
95
geometric analysis
harmonic maps
Dirac-harmonic maps
mathematical physics
Michele Caselli
Metrics
H-Index
i10-Index
Citation Counts
5
3
68
Geometric Analysis
PDEs
Geometric Measure Theory
Calculus of Variations.
Giulio Bresciani
Metrics
H-Index
i10-Index
Citation Counts
5
2
82
Algebraic geometry
arithmetic geometry
Francesca Tripaldi
Metrics
H-Index
i10-Index
Citation Counts
5
2
73
Geometrical analysis
differential geometry
Matteo Migliorini
Metrics
H-Index
i10-Index
Citation Counts
4
4
88
Geometric Group Theory
Geometric Topology
Igor Simunec
Metrics
H-Index
i10-Index
Citation Counts
4
2
61
Numerical Linear Algebra
Matrix Functions
Krylov Subspace Methods
Randomized Sketching
Santolo Leveque
Metrics
H-Index
i10-Index
Citation Counts
4
2
59
Numerical Analysis
Numerical Linear Algebra
Iterative Methods
PDE-Constrained Optimization
Bidisha Roy
Metrics
H-Index
i10-Index
Citation Counts
4
0
40