2026 Alexei G. Myasnikov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	37	2476	2198	1034	864	257	6561

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2476

2198

1034

864

257

6561

Overview

Alexei G. Myasnikov is affiliated with the Stevens Institute of Technology in the United States. Their research primarily falls within the field of Mathematics, with a focus on subfields such as Geometry and Topology, Mathematical Physics, Discrete Mathematics and Combinatorics, Computational Theory and Mathematics, and Theoretical Computer Science.

The scientist has contributed notably to several main topics of research, including:

Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Finite Group Theory Research
Algebraic Geometry and Number Theory
Semigroups and Automata Theory
Mathematical Dynamics and Fractals
Advanced Algebra and Geometry

Frequent co-authors collaborating with Alexei G. Myasnikov are:

Mahmood Sohrabi
É. Yu. Daniyarova
M. G. Amaglobeli
Andrey Nikolaev
В. Н. Ремесленников

Research publications have appeared consistently in these venues:

arXiv (Cornell University)
Algebra and Logic
Journal of Algebra
International Journal of Algebra and Computation
Herald of Omsk University

Notable recent papers include:

"Logspace and compressed-word computations in nilpotent groups", 2022, Transactions of the American Mathematical Society
"Bi-interpretability with ℤ and models of the complete elementary theories of SLₙ(), Tₙ() and GLₙ(), n≥3", 2020, arXiv (Cornell University)
"Algebraic Geometry over Algebraic Structures. VIII. Geometric Equivalences and Special Classes of Algebraic Structures", 2021, Journal of Mathematical Sciences
"Varieties of Exponential R-Groups", 2023, Algebra and Logic
"The Diophantine problem in the classical matrix groups", 2020, Izvestiya Mathematics

Best Publications

Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory

Gilbert Baumslag;Alexei Myasnikov;Vladimir Remeslennikov

447
Citations
Stallings Foldings and Subgroups of Free Groups

Ilya Kapovich;Alexei Myasnikov

393
Citations
Elementary theory of free non-abelian groups

Olga Kharlampovich;Alexei Myasnikov

301
Citations
Stallings foldings and the subgroup structure of free groups

Ilya Kapovich;Alexei G. Myasnikov

276
Citations
Irreducible Affine Varieties over a Free Group: II. Systems in Triangular Quasi-quadratic Form and Description of Residually Free Groups

O. Kharlampovich;A. Myasnikov

276
Citations
Generic-case complexity, decision problems in group theory, and random walks

Ilya Kapovich;Alexei G. Myasnikov;Paul E. Schupp;Vladimir Shpilrain

275
Citations
ALGEBRAIC GEOMETRY OVER GROUPS II. LOGICAL FOUNDATIONS

Alexei Myasnikov;Vladimir Remeslennikov

230
Citations
Irreducible Affine Varieties over a Free Group: I. Irreducibility of Quadratic Equations and Nullstellensatz

O Kharlampovich;A Myasnikov

229
Citations
Group-based Cryptography

Alexei G. Myasnikov;Vladimir Shpilrain;Alexander Ushakov

217
Citations
Algebraic Geometry over Groups

Gilbert Baumslag;Alexei Myasnikov;Vladimir Remeslennikov

201
Citations
Non-Commutative Cryptography and Complexity of Group-Theoretic Problems

Alexei Myasnikov;Vladimir Shpilrain;Alexander Ushakov

194
Citations
Unification theorems in algebraic geometry

E. Daniyarova;A. Myasnikov;V. Remeslennikov

151
Citations
EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS

Alexei G. Myasnikov;Vladimir N. Remeslennikov

133
Citations
HYPERBOLIC GROUPS AND FREE CONSTRUCTIONS

O. Kharlampovich;A. Myasnikov

123
Citations
Foldings, graphs of groups and the membership problem

Ilya Kapovich;Richard Weidmann;Alexei G. Myasnikov

104
Citations
AVERAGE-CASE COMPLEXITY AND DECISION PROBLEMS IN GROUP THEORY

Ilya Kapovich;Alexei G. Myasnikov;Paul E. Schupp;Vladimir Shpilrain

95
Citations
Implicit function theorem over free groups

Olga Kharlampovich;Alexei Myasnikov

90
Citations
Two Theorems about Equationally Noetherian Groups

Gilbert Baumslag;Alexei Myasnikov;Vitaly Roman'kov

88
Citations
Discriminating Completions of Hyperbolic Groups

Gilbert Baumslag;Alexei Myasnikov;Vladimir Remeslennikov

80
Citations
Measuring sets in infinite groups

Alexandre V. Borovik;Alexei G. Myasnikov;Vladimir Shpilrain

71
Citations
2 Combinatorial group theory

Benjamin Fine;Anthony Gaglione;Alexei Myasnikov;Gerhard Rosenberger

18
Citations

Frequent Co-Authors

Gilbert Baumslag City College of New York

Robert M. Haralick City University of New York

Mark Sapir Vanderbilt University

Anatoly Vershik Saint Petersburg State University

Alexander Lubotzky Weizmann Institute of Science

External Links

Personal website of Alexei G. Myasnikov Google Scholar page

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