Citation Rankings
Highly Cited Researchers

Natural Sciences / Mathematical Sciences Highly Cited Researchers 95 Scientists Citation Rankings - 2025

The Citation Rankings (Highly Cited Researchers) list highlight the most cited and influential researchers across a vast range of scientific fields, covering 197 main and sub-disciplines, including the Art and Humanities Citation Rankings and Social Sciences and Humanities Citation Rankings. This service, offered exclusively by AD Scientific Index, aims to provide a balanced perspective by excluding data from CERN and other statistical sources that disproportionately favor certain researchers, particularly in the social sciences and humanities. This unique approach addresses the advantages researchers with multi-author publications and CERN involvement hold over others. Furthermore, citation rankings help uncover rule violations and unethical practices within the research community. For more detailed citation analyses, explore the 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
Austria
Karl Sigmund
Evolutionary Game Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
45,298
10,535
0.233
* Total Citation Counts Rankings
Ranking Based On Selection: 2
Austria
Friedrich Leisch
R
statistical computing
biostatistics
cluster analysis
reproducible research
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37,411
11,638
0.311
* Total Citation Counts Rankings
Ranking Based On Selection: 3
Austria
Lam Tung Nguyen
Algorithms
Optimization
Machine Learning
Bioinformatics
Phylogenetic Inference
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,818
22,139
0.858
* Total Citation Counts Rankings
Ranking Based On Selection: 4
Austria
Adrian Constantin
Mathematics
Mathematical Physics
Partial Differential Equations
Fluid Mechanics
Dynamical Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
24,778
7,618
0.307
* Total Citation Counts Rankings
Ranking Based On Selection: 5
Austria
Arnold Neumaier
Optimization
Numerical analysis
data analysis
mathematical language
quantum physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,130
3,574
0.169
* Total Citation Counts Rankings
Ranking Based On Selection: 6
Austria
Karlheinz Groechenig
Harmonic analysis
time-frequency analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,525
4,886
0.264
* Total Citation Counts Rankings
Ranking Based On Selection: 7
Austria
Walter Schachermayer
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,862
3,122
0.185
* Total Citation Counts Rankings
Ranking Based On Selection: 8
Austria
Hans G Feichtinger
Gabor Analysis
Harmonic Analysis
Function Spaces
time-frequency analysis
modulation spaces
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,613
3,307
0.226
* Total Citation Counts Rankings
Ranking Based On Selection: 9
Austria
Reinhard Bürger
Population Genetics
Mathematical Biology
Evolutionary Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,330
3,599
0.292
* Total Citation Counts Rankings
Ranking Based On Selection: 10
Austria
Pflug G
Statistics and OR
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,016
3,824
0.318
* Total Citation Counts Rankings
Ranking Based On Selection: 11
Austria
Peter Michor
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,139
2,669
0.240
* Total Citation Counts Rankings
Ranking Based On Selection: 12
Austria
Chrusciel Piotr
Mathematical General Relativity
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,682
3,423
0.354
* Total Citation Counts Rankings
Ranking Based On Selection: 13
Austria
Gerald Teschl
Mathematical Physics
Differential Equations
Spectral Theory
Integrable Systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,627
3,717
0.386
* Total Citation Counts Rankings
Ranking Based On Selection: 14
Austria
Christian Schmeiser
Mathematical cell biology
PDEs
kinetic transport theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,068
2,281
0.283
* Total Citation Counts Rankings
Ranking Based On Selection: 15
Austria
Joachim Hermisson
Evolutionary Biology
Population Genetics
Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,964
2,931
0.368
* Total Citation Counts Rankings
Ranking Based On Selection: 16
Austria
Jakob Yngvason
mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,744
1,778
0.264
* Total Citation Counts Rankings
Ranking Based On Selection: 17
Austria
Radu Ioan Bot
Convex Analysis
Convex Optimization
Nonsmooth Optimization
Monotone Operators
Vector Optimization
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,672
3,037
0.455
* Total Citation Counts Rankings
Ranking Based On Selection: 18
Austria
Ilaria Perugia
Numerical methods for PDEs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,793
1,825
0.315
* Total Citation Counts Rankings
Ranking Based On Selection: 19
Austria
Maurice De Gosson
harmonic analysis
symplectic geometry
quantum mechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,767
1,483
0.394
* Total Citation Counts Rankings
Ranking Based On Selection: 20
Austria
Andreas Baierl
statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,458
1,979
0.572
* Total Citation Counts Rankings
Ranking Based On Selection: 21
Austria
Hannes Leeb
Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,418
1,229
0.360
* Total Citation Counts Rankings
Ranking Based On Selection: 22
Austria
Alexander Komech
mathematical physics
quantum mechanics
partial differential equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,351
874
0.261
* Total Citation Counts Rankings
Ranking Based On Selection: 23
Austria
Andreas Cap
Differential Geometry
Analysis
Algebra
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,314
832
0.251
* Total Citation Counts Rankings
Ranking Based On Selection: 24
Austria
Andreas Mautner
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,262
2,679
0.821
* Total Citation Counts Rankings
Ranking Based On Selection: 25
Austria
Michael Hofer
Quality Assurance
Architectural Geometry
Geometric Modeling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,112
648
0.208
* Total Citation Counts Rankings
Rankings
12,001
Austria
53
9
Ranking Based On Selection: 1
Karl Sigmund
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
45,298
10,535
0.233
* Total Citation Counts Rankings
Rankings
16,355
Austria
77
2
Ranking Based On Selection: 2
Friedrich Leisch
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
37,411
11,638
0.311
R
statistical computing
biostatistics
cluster analysis
reproducible research
* Total Citation Counts Rankings
Rankings
28,887
Austria
148
28
Ranking Based On Selection: 3
Lam Tung Nguyen
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
25,818
22,139
0.858
Algorithms
Optimization
Machine Learning
Bioinformatics
Phylogenetic Inference
* Total Citation Counts Rankings
Rankings
30,740
Austria
159
30
Ranking Based On Selection: 4
Adrian Constantin
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
24,778
7,618
0.307
Mathematics
Mathematical Physics
Partial Differential Equations
Fluid Mechanics
Dynamical Systems
* Total Citation Counts Rankings
Rankings
38,541
Austria
196
37
Ranking Based On Selection: 5
Arnold Neumaier
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
21,130
3,574
0.169
Optimization
Numerical analysis
data analysis
mathematical language
quantum physics
* Total Citation Counts Rankings
Rankings
46,174
Austria
247
50
Ranking Based On Selection: 6
Karlheinz Groechenig
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
18,525
4,886
0.264
* Total Citation Counts Rankings
Rankings
52,373
Austria
288
54
Ranking Based On Selection: 7
Walter Schachermayer
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
16,862
3,122
0.185
* Total Citation Counts Rankings
Rankings
63,364
Austria
359
67
Ranking Based On Selection: 8
Hans G Feichtinger
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
14,613
3,307
0.226
Gabor Analysis
Harmonic Analysis
Function Spaces
time-frequency analysis
modulation spaces
* Total Citation Counts Rankings
Rankings
78,578
Austria
446
89
Ranking Based On Selection: 9
Reinhard Bürger
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,330
3,599
0.292
Population Genetics
Mathematical Biology
Evolutionary Theory
* Total Citation Counts Rankings
Rankings
81,088
Austria
465
94
Ranking Based On Selection: 10
Pflug G
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,016
3,824
0.318
* Total Citation Counts Rankings
Rankings
88,902
Austria
513
100
Ranking Based On Selection: 11
Peter Michor
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,139
2,669
0.240
* Total Citation Counts Rankings
Rankings
104,522
Austria
608
121
Ranking Based On Selection: 12
Chrusciel Piotr
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,682
3,423
0.354
* Total Citation Counts Rankings
Rankings
105,182
Austria
612
122
Ranking Based On Selection: 13
Gerald Teschl
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
9,627
3,717
0.386
Mathematical Physics
Differential Equations
Spectral Theory
Integrable Systems
* Total Citation Counts Rankings
Rankings
128,294
Austria
762
147
Ranking Based On Selection: 14
Christian Schmeiser
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,068
2,281
0.283
Mathematical cell biology
PDEs
kinetic transport theory
* Total Citation Counts Rankings
Rankings
130,176
Austria
773
149
Ranking Based On Selection: 15
Joachim Hermisson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
7,964
2,931
0.368
Evolutionary Biology
Population Genetics
Theory
* Total Citation Counts Rankings
Rankings
155,442
Austria
935
179
Ranking Based On Selection: 16
Jakob Yngvason
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,744
1,778
0.264
* Total Citation Counts Rankings
Rankings
157,187
Austria
950
182
Ranking Based On Selection: 17
Radu Ioan Bot
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,672
3,037
0.455
Convex Analysis
Convex Optimization
Nonsmooth Optimization
Monotone Operators
Vector Optimization
* Total Citation Counts Rankings
Rankings
181,394
Austria
1,063
205
Ranking Based On Selection: 18
Ilaria Perugia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,793
1,825
0.315
* Total Citation Counts Rankings
Rankings
271,518
Austria
1,523
289
Ranking Based On Selection: 19
Maurice De Gosson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,767
1,483
0.394
harmonic analysis
symplectic geometry
quantum mechanics
* Total Citation Counts Rankings
Rankings
292,355
Austria
1,635
313
Ranking Based On Selection: 20
Andreas Baierl
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,458
1,979
0.572
* Total Citation Counts Rankings
Rankings
295,366
Austria
1,652
318
Ranking Based On Selection: 21
Hannes Leeb
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,418
1,229
0.360
* Total Citation Counts Rankings
Rankings
300,386
Austria
1,678
326
Ranking Based On Selection: 22
Alexander Komech
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,351
874
0.261
mathematical physics
quantum mechanics
partial differential equations
* Total Citation Counts Rankings
Rankings
303,154
Austria
1,694
327
Ranking Based On Selection: 23
Andreas Cap
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,314
832
0.251
* Total Citation Counts Rankings
Rankings
307,173
Austria
1,718
333
Ranking Based On Selection: 24
Andreas Mautner
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,262
2,679
0.821
* Total Citation Counts Rankings
Rankings
319,484
Austria
1,788
338
Ranking Based On Selection: 25
Michael Hofer
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,112
648
0.208
Quality Assurance
Architectural Geometry
Geometric Modeling