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
Harmonic Analysis operators in weighted function spaces
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,934
1,294
0.441
* Total Citation Counts Rankings
Ranking Based On Selection :2
Partial Differential Equations
Integral Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,227
494
0.222
* Total Citation Counts Rankings
Ranking Based On Selection :3
Partial Differential Equations
Integral Equations
Theory of Elasticity
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,140
573
0.268
* Total Citation Counts Rankings
Ranking Based On Selection :4
Classical and Quantum Gravity
Cosmology
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,954
426
0.218
* Total Citation Counts Rankings
Ranking Based On Selection :5
Probability
Functional Analysis
General Topology
Abstract Harmonic Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,939
387
0.200
* Total Citation Counts Rankings
Ranking Based On Selection :6
Elasticity
Thermoelasticity
Mechanics of Solids
Mechanics of Porous Media
Biomechanics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,938
799
0.412
* Total Citation Counts Rankings
Ranking Based On Selection :7
Fourier Analysis
Approximation Theory
Partial Differential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,629
1,363
0.837
* Total Citation Counts Rankings
Ranking Based On Selection :8
Oscilation
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,489
521
0.350
* Total Citation Counts Rankings
Ranking Based On Selection :9
Mathematics
Partial Differential Equations
Computer Science
Mathematical Modeling
Numerical Analysis
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,370
325
0.237
* Total Citation Counts Rankings
Ranking Based On Selection :10
Plasma nonlinear wave theory
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,079
311
0.288
* Total Citation Counts Rankings
Ranking Based On Selection :11
nonlinear analysis
topology
complex analysis
dynamical systems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
869
228
0.262
* Total Citation Counts Rankings
Ranking Based On Selection :12
Mathematick
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
672
195
0.290
* Total Citation Counts Rankings
Ranking Based On Selection :13
Optimal control problems
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
669
205
0.306
* Total Citation Counts Rankings
Ranking Based On Selection :14
Stochasic analysis
Mathematical finance
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
633
152
0.240
* Total Citation Counts Rankings
Ranking Based On Selection :15
Mathematical Statistics
Data Analysis
Mathematical Modeling and Simulation
New Computer Technologies Development
System Anal
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
491
206
0.420
* Total Citation Counts Rankings
Ranking Based On Selection :16
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
444
63
0.142
* Total Citation Counts Rankings
Ranking Based On Selection :17
Measure Theory in Infinite-Dimensional Topological Vector Spaces
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
444
52
0.117
* Total Citation Counts Rankings
Ranking Based On Selection :18
Homological Algebra
Non-associative Algebras
Mathematical Cryptography
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
418
205
0.490
* Total Citation Counts Rankings
Ranking Based On Selection :19
Numerical mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
413
113
0.274
* Total Citation Counts Rankings
Ranking Based On Selection :20
Partial differential equations
Differential equations
Numerical analisys
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
401
67
0.167
* Total Citation Counts Rankings
Ranking Based On Selection :21
Mathematics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
366
132
0.361
* Total Citation Counts Rankings
Ranking Based On Selection :22
Computational Mathematics
Applied Math.
Informatics
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
334
71
0.213
* Total Citation Counts Rankings
Ranking Based On Selection :23
Mathematics
Algebra
SemiGroup
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
319
29
0.091
* Total Citation Counts Rankings
Ranking Based On Selection :24
Mathematics
Cybersecurity
Statistics
Optimal Control
Decision Making
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
201
139
0.692
* Total Citation Counts Rankings
Ranking Based On Selection :25
Mathematical Physics
Partial Diffrential Equations
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
61
61
1.000
Aleksandre Meskhi
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,934
1,294
0.441
Harmonic Analysis operators in weighted function spaces
Roland Duduchava
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,227
494
0.222
Partial Differential Equations
Integral Equations
Davit Natroshvili
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
2,140
573
0.268
Partial Differential Equations
Integral Equations
Theory of Elasticity
George Lavrelashvili
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,954
426
0.218
Classical and Quantum Gravity
Cosmology
Vazha Tarieladze
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,939
387
0.200
Probability
Functional Analysis
General Topology
Abstract Harmonic Analysis
Merab Svanadze
Ilia State University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,938
799
0.412
Elasticity
Thermoelasticity
Mechanics of Solids
Mechanics of Porous Media
Biomechanics
Tephnadze George
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,629
1,363
0.837
Fourier Analysis
Approximation Theory
Partial Differential Equations
Roman Koplatadze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,489
521
0.350
Temur Jangveladze Dzhangveladze
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,370
325
0.237
Mathematics
Partial Differential Equations
Computer Science
Mathematical Modeling
Numerical Analysis
Tamaz Kaladze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
1,079
311
0.288
Giorgi Khimshiashvili
Ilia State University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
869
228
0.262
nonlinear analysis
topology
complex analysis
dynamical systems
Malkhaz Ashordia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
672
195
0.290
Tamaz Tadumadze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
669
205
0.306
Revaz Tevzadze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
633
152
0.240
Stochasic analysis
Mathematical finance
Kartlos Kachiashvili
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
491
206
0.420
Mathematical Statistics
Data Analysis
Mathematical Modeling and Simulation
New Computer Technologies Development
System Anal
Vakhtang Lomadze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
444
63
0.142
Gogi Pantsulaia
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
444
52
0.117
Measure Theory in Infinite-Dimensional Topological Vector Spaces
Emzar Khmaladze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
418
205
0.490
Homological Algebra
Non-associative Algebras
Mathematical Cryptography
Givi Berikelashvili
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
413
113
0.274
David Mitoevich Lekveishvili
Akaki Tsereteli State University
Kutaisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
401
67
0.167
Partial differential equations
Differential equations
Numerical analisys
Mariam Avalishvili
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
366
132
0.361
Hamlet Meladze
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
334
71
0.213
Computational Mathematics
Applied Math.
Informatics
Yasha Diasamidze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
319
29
0.091
Mathematics
Algebra
SemiGroup
Avtandil Gagnidze
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
201
139
0.692
Mathematics
Cybersecurity
Statistics
Optimal Control
Decision Making
Tengiz Buchukuri
Georgian Technical University
Tbilisi, Georgia
Citation Metrics
Total
Last 6 Years
Last 6 Years / Total
61
61
1.000
Mathematical Physics
Partial Diffrential Equations