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- Alexei G. Myasnikov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
5,351
211
World Ranking
2527
National Ranking
1059

- Algebra
- Group theory
- Combinatorics

Alexei Myasnikov spends much of his time researching Group theory, Discrete mathematics, Combinatorics, Group and Free group. Alexei Myasnikov works mostly in the field of Group theory, limiting it down to concerns involving Non-abelian group and, occasionally, Free abelian group. His Discrete mathematics research integrates issues from Set and Random group.

His research combines Measure and Combinatorics. His Group study incorporates themes from Word, Abelian group and Decision problem. His Free group research is multidisciplinary, relying on both Hierarchy, Free product, Time complexity, Free probability and Zariski topology.

- Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory (271 citations)
- Stallings Foldings and Subgroups of Free Groups (228 citations)
- Irreducible Affine Varieties over a Free Group: II. Systems in Triangular Quasi-quadratic Form and Description of Residually Free Groups (219 citations)

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Pure mathematics, Group and Free group. His Combinatorics course of study focuses on Decidability and Elementary theory. His research investigates the connection between Discrete mathematics and topics such as Group theory that intersect with issues in Non-abelian group.

His studies in Pure mathematics integrate themes in fields like Class, Algebraic number and Rank. In the field of Group, his study on Free product overlaps with subjects such as Hyperbolic group. The Free group study combines topics in areas such as Automorphism, Stallings theorem about ends of groups, Natural density and Rank.

- Combinatorics (43.35%)
- Discrete mathematics (34.76%)
- Pure mathematics (24.46%)

- Pure mathematics (24.46%)
- Combinatorics (43.35%)
- Finitely-generated abelian group (9.87%)

Pure mathematics, Combinatorics, Finitely-generated abelian group, Nilpotent and Discrete mathematics are his primary areas of study. Within one scientific family, Alexei Myasnikov focuses on topics pertaining to Algebraic number under Pure mathematics, and may sometimes address concerns connected to Algebraic structure, Algebraic geometry and Matrix group. His Combinatorics research includes elements of Space, Successor cardinal and Tree.

Alexei Myasnikov has researched Finitely-generated abelian group in several fields, including Class, Countable set and Abelian group. His Discrete mathematics study frequently links to adjacent areas such as Algebraic surface. His Algebraic surface research includes themes of Algebraic cycle, Equivalence, Real algebraic geometry and Function field of an algebraic variety.

- Algorithmically complex residually finite groups (14 citations)
- Tarski-type problems for free associative algebras (8 citations)
- Algebraic Geometry Over Algebraic Structures. VI. Geometrical Equivalence (7 citations)

- Algebra
- Group theory
- Mathematical analysis

His primary areas of investigation include Pure mathematics, Finitely-generated abelian group, Diophantine equation, Class and Elementary equivalence. His biological study spans a wide range of topics, including Arbitrarily large and Word problem. Alexei Myasnikov works mostly in the field of Diophantine equation, limiting it down to concerns involving Torsion and, occasionally, Commutative property, CA-group and Group theory.

His Commutative property study necessitates a more in-depth grasp of Discrete mathematics. The concepts of his Class study are interwoven with issues in Characterization, Type, Nilpotent and Group. His Quantifier elimination research incorporates themes from Finitely generated algebra, Saturated model and Combinatorics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Algebraic Geometry over Groups I. Algebraic Sets and Ideal Theory

Gilbert Baumslag;Alexei Myasnikov;Vladimir Remeslennikov.

Journal of Algebra **(1999)**

419 Citations

Stallings Foldings and Subgroups of Free Groups

Ilya Kapovich;Alexei Myasnikov.

Journal of Algebra **(2002)**

362 Citations

Stallings foldings and the subgroup structure of free groups

Ilya Kapovich;Alexei G. Myasnikov.

Journal of Algebra **(2002)**

276 Citations

Elementary theory of free non-abelian groups

Olga Kharlampovich;Alexei Myasnikov.

Journal of Algebra **(2006)**

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.

Journal of Algebra **(1998)**

267 Citations

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

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

Journal of Algebra **(2003)**

263 Citations

ALGEBRAIC GEOMETRY OVER GROUPS II. LOGICAL FOUNDATIONS

Alexei Myasnikov;Vladimir Remeslennikov.

Journal of Algebra **(2000)**

224 Citations

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

O Kharlampovich;A Myasnikov.

Journal of Algebra **(1998)**

223 Citations

Group-based Cryptography

Alexei G. Myasnikov;Vladimir Shpilrain;Alexander Ushakov.

**(2008)**

217 Citations

Algebraic Geometry over Groups

Gilbert Baumslag;Alexei Myasnikov;Vladimir Remeslennikov.

**(2000)**

200 Citations

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