Citation Rankings
Highly Cited Researchers
University of Illinois Urbana Champaign Highly Cited Researchers CitationNatural Sciences / Mathematical Sciences Rankings 2025
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 teaching and learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,436
4,767
0.309
* Total Citation Counts Rankings
Ranking Based On Selection :2
Probability
Stochastic processes
Markov processes
branching processes
potential theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,666
2,698
0.405
* Total Citation Counts Rankings
Ranking Based On Selection :3
Information Theory
Bayesian Statistics
Machine Learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,549
2,788
0.502
* Total Citation Counts Rankings
Ranking Based On Selection :4
Statistics
Quantitative Methods
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,185
2,713
0.648
* Total Citation Counts Rankings
Ranking Based On Selection :5
mathematical finance
finance
machine learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,184
3,960
0.946
* Total Citation Counts Rankings
Ranking Based On Selection :6
number theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,812
1,352
0.355
* Total Citation Counts Rankings
Ranking Based On Selection :7
Discrete Exterior Calculus
Finite Element Exterior Calculus
Applied Topology
Computational Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,557
1,111
0.312
* Total Citation Counts Rankings
Ranking Based On Selection :8
statistics
quantitative methods
psycholoy
socoiology
latent varaibles
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,450
1,368
0.397
* Total Citation Counts Rankings
Ranking Based On Selection :9
Signal Processing
Machine Learning
Inverse Problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,340
2,499
0.748
* Total Citation Counts Rankings
Ranking Based On Selection :10
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,301
1,684
0.510
* Total Citation Counts Rankings
Ranking Based On Selection :11
Mathematical optimization
Neural networks
Machine Learning
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,241
2,450
0.756
* Total Citation Counts Rankings
Ranking Based On Selection :12
Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,176
639
0.201
* Total Citation Counts Rankings
Ranking Based On Selection :13
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,119
2,114
0.678
* Total Citation Counts Rankings
Ranking Based On Selection :14
Econometrics
Functional data analysis
High-dimensional data analysis
Time series analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,989
1,933
0.647
* Total Citation Counts Rankings
Ranking Based On Selection :15
Algebraic Topology
Homotopy Theory
Category Theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,849
1,333
0.468
* Total Citation Counts Rankings
Ranking Based On Selection :16
mathematical modeling
infectious disease epidemiology
longitudinal data analysis
economics of disease control
decision makin
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,841
2,043
0.719
* Total Citation Counts Rankings
Ranking Based On Selection :17
Differential Geometry
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,697
904
0.335
* Total Citation Counts Rankings
Ranking Based On Selection :18
Singularity Theory
Probability
Random Processes
Social Choice
Networks
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,569
819
0.319
* Total Citation Counts Rankings
Ranking Based On Selection :19
Numerical Linear Algebra
High Performance Computing
Tensors
Scientific Computing
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,568
1,721
0.670
* Total Citation Counts Rankings
Ranking Based On Selection :20
Statistics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,512
1,429
0.569
* Total Citation Counts Rankings
Ranking Based On Selection :21
Topology
geometry
and number theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,385
964
0.404
* Total Citation Counts Rankings
Ranking Based On Selection :22
Statistics
Machine Learning
Optimization
Bayesian Inference
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,378
2,078
0.874
* Total Citation Counts Rankings
Ranking Based On Selection :23
neuroimaging
development
cognitive psychology
cognitive development
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,334
1,156
0.495
* Total Citation Counts Rankings
Ranking Based On Selection :24
mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,161
545
0.252
* Total Citation Counts Rankings
Ranking Based On Selection :25
Mathematical physics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,157
352
0.163
* Total Citation Counts Rankings
Rankings
55,843
23,987
225
Ranking Based On Selection: 1
Arthur Baroody
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
15,436
4,767
0.309
mathematics teaching and learning
* Total Citation Counts Rankings
Rankings
149,901
56,543
513
Ranking Based On Selection: 2
Renming Song
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
6,666
2,698
0.405
Probability
Stochastic processes
Markov processes
branching processes
potential theory
* Total Citation Counts Rankings
Rankings
180,375
66,116
592
Ranking Based On Selection: 3
Feng Liang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
5,549
2,788
0.502
Information Theory
Bayesian Statistics
Machine Learning
* Total Citation Counts Rankings
Rankings
235,881
82,740
722
Ranking Based On Selection: 4
Steven Andrew Culpepper
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,185
2,713
0.648
Statistics
Quantitative Methods
* Total Citation Counts Rankings
Rankings
235,917
82,756
723
Ranking Based On Selection: 5
Justin Sirignano
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
4,184
3,960
0.946
mathematical finance
finance
machine learning
* Total Citation Counts Rankings
Rankings
256,791
88,877
770
Ranking Based On Selection: 6
Alexandru Zaharescu
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,812
1,352
0.355
* Total Citation Counts Rankings
Rankings
272,694
93,461
816
Ranking Based On Selection: 7
Anil N Hirani
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,557
1,111
0.312
Discrete Exterior Calculus
Finite Element Exterior Calculus
Applied Topology
Computational Geometry
* Total Citation Counts Rankings
Rankings
279,889
95,585
831
Ranking Based On Selection: 8
Carolyn J Anderson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,450
1,368
0.397
statistics
quantitative methods
psycholoy
socoiology
latent varaibles
* Total Citation Counts Rankings
Rankings
287,685
97,856
857
Ranking Based On Selection: 9
Ivan Dokmanić
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,340
2,499
0.748
Signal Processing
Machine Learning
Inverse Problems
* Total Citation Counts Rankings
Rankings
290,650
98,699
859
Ranking Based On Selection: 10
Yuguo Chen
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,301
1,684
0.510
* Total Citation Counts Rankings
Rankings
295,191
99,963
869
Ranking Based On Selection: 11
Ruoyu Sun Uiuc|Ruo-Yu Sun
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,241
2,450
0.756
Mathematical optimization
Neural networks
Machine Learning
* Total Citation Counts Rankings
Rankings
300,283
101,423
884
Ranking Based On Selection: 12
Douglas G Simpson
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,176
639
0.201
* Total Citation Counts Rankings
Rankings
304,786
102,737
899
Ranking Based On Selection: 13
Sihai Dave Zhao
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
3,119
2,114
0.678
* Total Citation Counts Rankings
Rankings
315,845
105,812
923
Ranking Based On Selection: 14
Xiaofeng Shao
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,989
1,933
0.647
Econometrics
Functional data analysis
High-dimensional data analysis
Time series analysis
* Total Citation Counts Rankings
Rankings
328,410
109,424
955
Ranking Based On Selection: 15
Charles Rezk
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,849
1,333
0.468
Algebraic Topology
Homotopy Theory
Category Theory
* Total Citation Counts Rankings
Rankings
329,107
109,621
958
Ranking Based On Selection: 16
Rebecca L Smith
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,841
2,043
0.719
mathematical modeling
infectious disease epidemiology
longitudinal data analysis
economics of disease control
decision makin
* Total Citation Counts Rankings
Rankings
343,363
113,530
991
Ranking Based On Selection: 17
Rui Loja Fernandes
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,697
904
0.335
* Total Citation Counts Rankings
Rankings
356,927
117,311
1,018
Ranking Based On Selection: 18
Yuliy Baryshnikov
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,569
819
0.319
Singularity Theory
Probability
Random Processes
Social Choice
Networks
* Total Citation Counts Rankings
Rankings
356,993
117,334
1,019
Ranking Based On Selection: 19
Edgar Solomonik
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,568
1,721
0.670
Numerical Linear Algebra
High Performance Computing
Tensors
Scientific Computing
* Total Citation Counts Rankings
Rankings
363,136
119,045
1,031
Ranking Based On Selection: 20
Bo Li
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,512
1,429
0.569
* Total Citation Counts Rankings
Rankings
377,933
123,142
1,067
Ranking Based On Selection: 21
Nathan Dunfield
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,385
964
0.404
Topology
geometry
and number theory
* Total Citation Counts Rankings
Rankings
378,709
123,374
1,068
Ranking Based On Selection: 22
Yun Yang
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,378
2,078
0.874
Statistics
Machine Learning
Optimization
Bayesian Inference
* Total Citation Counts Rankings
Rankings
384,354
124,912
1,074
Ranking Based On Selection: 23
Daniel C Hyde
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,334
1,156
0.495
neuroimaging
development
cognitive psychology
cognitive development
mathematics
* Total Citation Counts Rankings
Rankings
406,981
131,057
1,127
Ranking Based On Selection: 24
Steven Bradlow
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,161
545
0.252
* Total Citation Counts Rankings
Rankings
407,488
131,212
1,129
Ranking Based On Selection: 25
Rinat Kedem
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,157
352
0.163