Citation Rankings (Highly Cited Researchers) and the list of the most cited and influential researchers cover a wide range of scientific fields, spanning 197 main and sub-disciplines, as well as the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings, offering a unique service. Additionally, the list without CERN, Statistical Data, etc., provided exclusively by “AD Scientific Index”, is part of our effort to balance the situation created by CERN and researchers with statistical data, who have an advantage over others, especially those in the social and humanities fields. There should be new regulations for multi-author and CERN papers. Citation lists also reveal many rule violations and unethical practices. See also for more specific citation analyses: Scientists Last 6 years Citation Index, Universities Total Citations Rankings 2025 and Universities Last 6 Years Citations Rankings 2025
* Total Citation Counts Rankings
Ranking Based On Selection :1
mathematics education
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,200
10,131
0.625
* Total Citation Counts Rankings
Ranking Based On Selection :2
statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,645
5,951
0.688
* Total Citation Counts Rankings
Ranking Based On Selection :3
Mathematical Physics
Category Theory
Representation Theory
Conformal field theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,189
2,995
0.366
* Total Citation Counts Rankings
Ranking Based On Selection :4
Finite Element Analysis
Fictitious Domain Methods
Coupled Problems
Multi-scale Methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,337
3,222
0.439
* Total Citation Counts Rankings
Ranking Based On Selection :5
Topological and conformal field theories
algebra and representation theory
higher algebraic structures
integrable models
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,517
2,856
0.518
* Total Citation Counts Rankings
Ranking Based On Selection :6
Numerical Analysis
Scientific Computing
Approximation Theory
Radial Basis Functions
Meshfree Methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,397
766
0.225
* Total Citation Counts Rankings
Ranking Based On Selection :7
extreme value theory
empirical processes
time series
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,152
988
0.313
* Total Citation Counts Rankings
Ranking Based On Selection :8
Scientific Computing
Nonlinear Eigenvalue Problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,061
674
0.220
* Total Citation Counts Rankings
Ranking Based On Selection :9
systems and control theory
infinite-dimensional systems
model reduction
adaptive control
differential-algebraic equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,528
1,439
0.569
* Total Citation Counts Rankings
Ranking Based On Selection :10
numerical methods
scientific computing
adaptive mesh refinement
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,298
1,201
0.523
* Total Citation Counts Rankings
Ranking Based On Selection :11
Geometry
Mathematical Physics
Algebraic Geometry
Mirror Symmetry
String Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,189
509
0.428
* Total Citation Counts Rankings
Ranking Based On Selection :12
computational mathematics
parallel-in-time integration
high-performance computing
scientific computing
meteorology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,135
690
0.608
* Total Citation Counts Rankings
Ranking Based On Selection :13
Discrete Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,092
403
0.369
* Total Citation Counts Rankings
Ranking Based On Selection :14
Dynamische Systeme. Bifurkationstheorie
Partielle Differentialgleichungen
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,047
169
0.161
* Total Citation Counts Rankings
Ranking Based On Selection :15
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
831
346
0.416
* Total Citation Counts Rankings
Ranking Based On Selection :16
Differential Geometry
Spin Geometry
Differential Topology
Moduli Spaces
Supergravity
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
813
381
0.469
* Total Citation Counts Rankings
Ranking Based On Selection :17
algebraic geometry
computer algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
608
244
0.401
* Total Citation Counts Rankings
Ranking Based On Selection :18
Number theory
Arithmetic geometry
Arakelov theory
multiple zeta values
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
587
249
0.424
* Total Citation Counts Rankings
Ranking Based On Selection :19
Numerics
Optimization
High Performance Computing
PDEs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
540
443
0.820
* Total Citation Counts Rankings
Ranking Based On Selection :20
computaional mechaincs
FEM
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
536
327
0.610
* Total Citation Counts Rankings
Ranking Based On Selection :21
Mathematics
Evolution(ary) Equations
Operator Theory
Spectral Theory
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
468
342
0.731
* Total Citation Counts Rankings
Ranking Based On Selection :22
Differential Geometry
Mathematical Physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
402
197
0.490
* Total Citation Counts Rankings
Ranking Based On Selection :23
topology
algebra
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
331
315
0.952
* Total Citation Counts Rankings
Ranking Based On Selection :24
Functional Analysis
Operator Theory
Homological Algebra
Data Science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
317
261
0.823
* Total Citation Counts Rankings
Ranking Based On Selection :25
vertex operator algebras
modular forms
conformal field theory
infinite-dimensional Lie algebras
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
288
252
0.875
Gabriele Kaiser
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,200
10,131
0.625
Gerhard Schön
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,645
5,951
0.688
Christoph Schweigert
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,189
2,995
0.366
Mathematical Physics
Category Theory
Representation Theory
Conformal field theory
Alexander Düster
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,337
3,222
0.439
Finite Element Analysis
Fictitious Domain Methods
Coupled Problems
Multi-scale Methods
Ingo Runkel
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,517
2,856
0.518
Topological and conformal field theories
algebra and representation theory
higher algebraic structures
integrable models
Armin Iske
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,397
766
0.225
Numerical Analysis
Scientific Computing
Approximation Theory
Radial Basis Functions
Meshfree Methods
Holger Drees
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,152
988
0.313
extreme value theory
empirical processes
time series
Heinrich Voss
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,061
674
0.220
Scientific Computing
Nonlinear Eigenvalue Problems
Timo Reis
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,528
1,439
0.569
systems and control theory
infinite-dimensional systems
model reduction
adaptive control
differential-algebraic equations
Jörn Behrens
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,298
1,201
0.523
numerical methods
scientific computing
adaptive mesh refinement
Murad Alim
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,189
509
0.428
Geometry
Mathematical Physics
Algebraic Geometry
Mirror Symmetry
String Theory
Daniel Ruprecht
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,135
690
0.608
computational mathematics
parallel-in-time integration
high-performance computing
scientific computing
meteorology
Anusch Taraz
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,092
403
0.369
Reiner Lauterbach
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,047
169
0.161
Dynamische Systeme. Bifurkationstheorie
Partielle Differentialgleichungen
Birgit Richter
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
831
346
0.416
CS Shahbazi
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
813
381
0.469
Differential Geometry
Spin Geometry
Differential Topology
Moduli Spaces
Supergravity
Hans Christian Graf v Bothmer
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
608
244
0.401
algebraic geometry
computer algebra
Ulf Kühn
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
587
249
0.424
Number theory
Arithmetic geometry
Arakelov theory
multiple zeta values
Martin Siebenborn
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
540
443
0.820
Numerics
Optimization
High Performance Computing
PDEs
Meysam Joulaian
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
536
327
0.610
Christian Seifert
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
468
342
0.731
Mathematics
Evolution(ary) Equations
Operator Theory
Spectral Theory
Mathematical Physics
Ioannis Chrysikos
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
402
197
0.490
Differential Geometry
Mathematical Physics
Lukas Woike
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
331
315
0.952
topology
algebra
mathematical physics
Sven-Ake Wegner
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
317
261
0.823
Functional Analysis
Operator Theory
Homological Algebra
Data Science
Sven Möller
Universität Hamburg
Hamburg, Germany
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
288
252
0.875
vertex operator algebras
modular forms
conformal field theory
infinite-dimensional Lie algebras