University, Subject, Country, Region, World
Institute for Advanced Study 24 Scientists Subject Rankings - 2025
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 28, 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 (873.688) 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
mathematics
Metrics
H-Index
i10 Index
Citation Counts
54
89
19,100
* Total H IndexRankings
Ranking Based On Selection: 2
Theory
Metrics
H-Index
i10 Index
Citation Counts
49
151
10,729
* Total H IndexRankings
Ranking Based On Selection: 3
Partial differential equations
calculus of variations
geometric measure theory
fluid dynamics
hyperbolic conservation laws
Metrics
H-Index
i10 Index
Citation Counts
47
105
8,319
* Total H IndexRankings
Ranking Based On Selection: 4
various
Metrics
H-Index
i10 Index
Citation Counts
36
69
8,868
* Total H IndexRankings
Ranking Based On Selection: 5
Mathematics
Metrics
H-Index
i10 Index
Citation Counts
23
35
2,509
* Total H IndexRankings
Ranking Based On Selection: 6
Harmonic analysis
Metrics
H-Index
i10 Index
Citation Counts
16
29
754
* Total H IndexRankings
Ranking Based On Selection: 7
Differential Geometry
Partial Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
15
18
804
* Total H IndexRankings
Ranking Based On Selection: 8
Geometric topology
hyperbolic geometry
geometric structures
rigidity of lattices
Metrics
H-Index
i10 Index
Citation Counts
15
26
814
* Total H IndexRankings
Ranking Based On Selection: 9
mathematical physics
integrable systems
quantum algebras
string theory
supersymmetric gauge theories
Metrics
H-Index
i10 Index
Citation Counts
13
21
650
* Total H IndexRankings
Ranking Based On Selection: 10
Partial Differential Equations
Fluid Dynamics
Metrics
H-Index
i10 Index
Citation Counts
8
6
166
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* Total H IndexRankings
Ranking Based On Selection: 11
mathematical physics
systems biology
immunology
Metrics
H-Index
i10 Index
Citation Counts
8
8
364
* Total H IndexRankings
Ranking Based On Selection: 12
toric topology
discrete geometry
Metrics
H-Index
i10 Index
Citation Counts
7
5
169
* Total H IndexRankings
Ranking Based On Selection: 13
Complex and Tropical Algebraic Geometry
Metrics
H-Index
i10 Index
Citation Counts
7
5
209
* Total H IndexRankings
Ranking Based On Selection: 14
Algebraic Geometry
Metrics
H-Index
i10 Index
Citation Counts
6
5
89
* Total H IndexRankings
Ranking Based On Selection: 15
partial differential equations
fluid mechanics
Metrics
H-Index
i10 Index
Citation Counts
6
3
85
* Total H IndexRankings
Ranking Based On Selection: 16
Geometric Topology
Metrics
H-Index
i10 Index
Citation Counts
6
5
143
* Total H IndexRankings
Ranking Based On Selection: 17
Geometry
Metrics
H-Index
i10 Index
Citation Counts
5
4
97
* Total H IndexRankings
Ranking Based On Selection: 18
Number Theory
Arithmetic Statistics
Metrics
H-Index
i10 Index
Citation Counts
4
3
63
* Total H IndexRankings
Ranking Based On Selection: 19
Algebraic Geometry
Combinatorics
Tropical Geometry
Metrics
H-Index
i10 Index
Citation Counts
4
2
45
* Total H IndexRankings
Ranking Based On Selection: 20
Harmonic Analysis
Dispersive PDE
Deep Learning
Metrics
H-Index
i10 Index
Citation Counts
3
0
29
* Total H IndexRankings
Ranking Based On Selection: 21
Differential Geometry
Partial Differential Equations
Metrics
H-Index
i10 Index
Citation Counts
3
0
22
* Total H IndexRankings
Ranking Based On Selection: 22
Probability theory
stochastic partial differential equation
Metrics
H-Index
i10 Index
Citation Counts
2
0
15
* Total H IndexRankings
Ranking Based On Selection: 23
Arithmetic and Algebraic geometry
Metrics
H-Index
i10 Index
Citation Counts
2
0
13
* Total H IndexRankings
Ranking Based On Selection: 24
Clustering analysis
Geometric statistics
Robust statistics
Mathematical statistics
Metrics
H-Index
i10 Index
Citation Counts
1
1
18
Helmut Hofer
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
54
89
19,100
Zhao Song
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
49
151
10,729
Camillo De Lellis
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
47
105
8,319
Partial differential equations
calculus of variations
geometric measure theory
fluid dynamics
hyperbolic conservation laws
mark goresky
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
36
69
8,868
Bumsig Kim
Metrics
H-Index
i10-Index
Citation Counts
23
35
2,509
Mariusz Mirek
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
16
29
754
Kyeongsu Choi
Metrics
H-Index
i10-Index
Citation Counts
15
18
804
Differential Geometry
Partial Differential Equations
Inkang Kim
Metrics
H-Index
i10-Index
Citation Counts
15
26
814
Geometric topology
hyperbolic geometry
geometric structures
rigidity of lattices
Jean-Emile Bourgine
Metrics
H-Index
i10-Index
Citation Counts
13
21
650
mathematical physics
integrable systems
quantum algebras
string theory
supersymmetric gauge theories
Junha Kim
Metrics
H-Index
i10-Index
Citation Counts
8
6
166
Partial Differential Equations
Fluid Dynamics
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Victor Mikhaylov
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
8
8
364
mathematical physics
systems biology
immunology
Mounir Nisse
Metrics
H-Index
i10-Index
Citation Counts
7
5
209
Complex and Tropical Algebraic Geometry
Hyeonjun Park
Metrics
H-Index
i10-Index
Citation Counts
6
5
89
Stan Palasek
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
6
3
85
partial differential equations
fluid mechanics
Thilo Kuessner
Metrics
H-Index
i10-Index
Citation Counts
6
5
143
Alexey Balitskiy
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
5
4
97
Shiyue Li
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
4
2
45
Algebraic Geometry
Combinatorics
Tropical Geometry
Seongyeon Kim
Metrics
H-Index
i10-Index
Citation Counts
3
0
29
Harmonic Analysis
Dispersive PDE
Deep Learning
Taehun Lee
Metrics
H-Index
i10-Index
Citation Counts
3
0
22
Differential Geometry
Partial Differential Equations
Jaeyun Yi
Metrics
H-Index
i10-Index
Citation Counts
2
0
15
Probability theory
stochastic partial differential equation
Tongmu He
Institute for Advanced Study
Princeton, United States
Metrics
H-Index
i10-Index
Citation Counts
2
0
13
Arithmetic and Algebraic geometry
Jongmin Lee
Metrics
H-Index
i10-Index
Citation Counts
1
1
18
Clustering analysis
Geometric statistics
Robust statistics
Mathematical statistics