What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (43.35%)
- Discrete mathematics (34.76%)
- Pure mathematics (24.46%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (24.46%)
- Combinatorics (43.35%)
- Finitely-generated abelian group (9.87%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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