Citation Rankings
Highly Cited Researchers

Natural Sciences / Mathematical Sciences Highly Cited Researchers 43 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
United States
George EM Karniadakis
Math+Machine Learning
Probabilistic Scientific Computing
Stochastic Multiscale Modeling
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
124,225
78,852
0.635
* Total Citation Counts Rankings
Ranking Based On Selection: 2
United States
Joseph H Silverman
Number theory
arithmetic dynamics
cryptography
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31,945
8,942
0.280
* Total Citation Counts Rankings
Ranking Based On Selection: 3
United States
Mark Ainsworth
Numerical solution of PDEs
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,427
3,931
0.293
* Total Citation Counts Rankings
Ranking Based On Selection: 4
United States
Bjorn Sandstede
Applied dynamical systems
Data science
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,861
3,292
0.256
* Total Citation Counts Rankings
Ranking Based On Selection: 5
United States
Jeffrey E Hoffstein
Automorphic forms
cryptography
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,384
4,711
0.414
* Total Citation Counts Rankings
Ranking Based On Selection: 6
United States
Yan Guo
PDE
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,543
4,095
0.479
* Total Citation Counts Rankings
Ranking Based On Selection: 7
United States
Jérôme Darbon
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,972
2,024
0.339
* Total Citation Counts Rankings
Ranking Based On Selection: 8
United States
Alex A Reda
population
statistics
panel data
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,078
2,021
0.496
* Total Citation Counts Rankings
Ranking Based On Selection: 9
United States
Brendan Hassett
Algebraic Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,911
1,504
0.385

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* Total Citation Counts Rankings
Ranking Based On Selection: 10
United States
Johnny Guzman
Numerical Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,525
1,734
0.492
* Total Citation Counts Rankings
Ranking Based On Selection: 11
United States
Matthew T Harrison
statistics
neuroscience
machine learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,749
1,428
0.519
* Total Citation Counts Rankings
Ranking Based On Selection: 12
United States
Ehsan Kharazmi
Fractional PDEs
Machine Learning
Uncertainty Quantification
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,374
2,271
0.957
* Total Citation Counts Rankings
Ranking Based On Selection: 13
United States
Jonathan Lubin
Number Theory
p-adic analysis
class field theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,589
280
0.176
* Total Citation Counts Rankings
Ranking Based On Selection: 14
United States
Caroline Klivans
Algebraic Combinatorics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,301
614
0.472
* Total Citation Counts Rankings
Ranking Based On Selection: 15
United States
Jeremy Kahn
complex dynamics
Teichmuller theory
hyperbolic geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
896
376
0.420
* Total Citation Counts Rankings
Ranking Based On Selection: 16
United States
Hamid R Ghazizadeh Karani
Anomalous Transport
Physics-based modeling
Applied Physics
Fractional calculus
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
691
435
0.630
* Total Citation Counts Rankings
Ranking Based On Selection: 17
United States
Cem Çelik
Machine Learning
Neural Networks
Fractional Differential Equations
Numerical Methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
576
315
0.547
* Total Citation Counts Rankings
Ranking Based On Selection: 18
United States
Stephen Kleene
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
289
133
0.460
* Total Citation Counts Rankings
Ranking Based On Selection: 19
United States
Susanna V. Haziot
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
225
216
0.960
* Total Citation Counts Rankings
Ranking Based On Selection: 20
United States
Daniel T Chen
Applied Probability
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
188
188
1.000
* Total Citation Counts Rankings
Ranking Based On Selection: 21
United States
Maria-Veronica Ciocanel
Mathematical biology
Dynamical systems
Applied prtial differential equations
Stochastic processes
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
193
159
0.824
* Total Citation Counts Rankings
Ranking Based On Selection: 22
United States
Isabel Vogt
algebraic geometry
arithmetic geometry
number theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
185
168
0.908
* Total Citation Counts Rankings
Ranking Based On Selection: 23
United States
Christine Breiner
differential geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
164
60
0.366
* Total Citation Counts Rankings
Ranking Based On Selection: 24
United States
Kristina Mallory
Applied mathematics
nonlinear PDE
nonlinear dynamics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
147
40
0.272
* Total Citation Counts Rankings
Ranking Based On Selection: 25
United States
Tejas Kotwal
Dynamical Systems
Probability Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
152
135
0.888
* Total Citation Counts Rankings
Rankings
2,219
United States
1,032
4
Ranking Based On Selection: 1
George EM Karniadakis
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
124,225
78,852
0.635
Math+Machine Learning
Probabilistic Scientific Computing
Stochastic Multiscale Modeling
* Total Citation Counts Rankings
Rankings
21,157
United States
9,791
23
Ranking Based On Selection: 2
Joseph H Silverman
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
31,945
8,942
0.280
* Total Citation Counts Rankings
Rankings
71,541
United States
29,734
77
Ranking Based On Selection: 3
Mark Ainsworth
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
13,427
3,931
0.293
* Total Citation Counts Rankings
Rankings
75,079
United States
31,003
79
Ranking Based On Selection: 4
Bjorn Sandstede
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
12,861
3,292
0.256
* Total Citation Counts Rankings
Rankings
88,094
United States
35,676
94
Ranking Based On Selection: 5
Jeffrey E Hoffstein
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
11,384
4,711
0.414
* Total Citation Counts Rankings
Rankings
122,273
United States
47,360
120
Ranking Based On Selection: 6
Yan Guo
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
8,543
4,095
0.479
* Total Citation Counts Rankings
Rankings
176,609
United States
64,730
161
Ranking Based On Selection: 7
Jérôme Darbon
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,972
2,024
0.339
* Total Citation Counts Rankings
Rankings
252,995
United States
87,470
208
Ranking Based On Selection: 8
Alex A Reda
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,078
2,021
0.496
* Total Citation Counts Rankings
Rankings
265,070
United States
90,935
212
Ranking Based On Selection: 9
Brendan Hassett
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,911
1,504
0.385
* Total Citation Counts Rankings
Rankings
289,623
United States
97,997
227
Ranking Based On Selection: 10
Johnny Guzman
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,525
1,734
0.492

360° Institutional Performance & Benchmarking Click Here for Live Demo 

Through advanced, institution-specific analytics and benchmarking, gain data-driven strategic insights into your academic performance, global standing, and competitive strengths. Compare your institution with 20 similarly ranked institutions at city, country, regional, and global levels, as well as with those in similar standings across 13 subjects, to uncover your institution’s strengths. More Info

* Total Citation Counts Rankings
Rankings
355,720
United States
116,585
257
Ranking Based On Selection: 11
Matthew T Harrison
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,749
1,428
0.519
* Total Citation Counts Rankings
Rankings
407,876
United States
130,823
286
Ranking Based On Selection: 12
Ehsan Kharazmi
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,374
2,271
0.957
Fractional PDEs
Machine Learning
Uncertainty Quantification
* Total Citation Counts Rankings
Rankings
524,965
United States
162,191
322
Ranking Based On Selection: 13
Jonathan Lubin
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,589
280
0.176
* Total Citation Counts Rankings
Rankings
593,709
United States
180,011
347
Ranking Based On Selection: 14
Caroline Klivans
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,301
614
0.472
* Total Citation Counts Rankings
Rankings
739,914
United States
216,066
416
Ranking Based On Selection: 15
Jeremy Kahn
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
896
376
0.420
complex dynamics
Teichmuller theory
hyperbolic geometry
* Total Citation Counts Rankings
Rankings
820,256
United States
233,987
445
Ranking Based On Selection: 16
Hamid R Ghazizadeh Karani
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
691
435
0.630
Anomalous Transport
Physics-based modeling
Applied Physics
Fractional calculus
* Total Citation Counts Rankings
Rankings
887,879
United States
248,247
480
Ranking Based On Selection: 17
Cem Çelik
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
576
315
0.547
Machine Learning
Neural Networks
Fractional Differential Equations
Numerical Methods
* Total Citation Counts Rankings
Rankings
1,160,661
United States
292,158
585
Ranking Based On Selection: 18
Stephen Kleene
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
289
133
0.460
* Total Citation Counts Rankings
Rankings
1,272,280
United States
307,918
641
Ranking Based On Selection: 19
Susanna V. Haziot
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
225
216
0.960
* Total Citation Counts Rankings
Rankings
1,348,444
United States
318,363
683
Ranking Based On Selection: 20
Daniel T Chen
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
188
188
1.000
* Total Citation Counts Rankings
Rankings
1,354,358
United States
319,196
687
Ranking Based On Selection: 21
Maria-Veronica Ciocanel
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
193
159
0.824
Mathematical biology
Dynamical systems
Applied prtial differential equations
Stochastic processes
* Total Citation Counts Rankings
Rankings
1,361,663
United States
320,196
695
Ranking Based On Selection: 22
Isabel Vogt
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
185
168
0.908
algebraic geometry
arithmetic geometry
number theory
* Total Citation Counts Rankings
Rankings
1,411,129
United States
326,825
722
Ranking Based On Selection: 23
Christine Breiner
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
164
60
0.366
* Total Citation Counts Rankings
Rankings
1,464,765
United States
333,744
751
Ranking Based On Selection: 24
Kristina Mallory
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
147
40
0.272
Applied mathematics
nonlinear PDE
nonlinear dynamics
* Total Citation Counts Rankings
Rankings
1,466,304
United States
333,981
752
Ranking Based On Selection: 25
Tejas Kotwal
       Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
152
135
0.888
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