Alexei G. Myasnikov

Geometry and Topology · 2000–2012

A researcher in the Science corpus: 14 papers; trusts 15 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 57 citations into it; #1,361 of 7,422 by trust here, #1,050 by citations
• Mathematical Physics — 45 citations into it; #2,204 of 8,562 by trust here, #1,961 by citations
• Computational Theory and Mathematics — 10 citations into it; #4,674 of 12,182 by trust here, #3,562 by citations
• Algebra and Number Theory — 8 citations into it

Whom Alexei G. Myasnikov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Z. Sela
2. Olga Kharlampovich
3. D. Groves
4. Christophe Champetier
5. Vladimir Nikanorovich Remeslennikov
6. Daniel T. Wise
7. Osamu Watanabe
8. Lee Mosher
9. David A. Cox
10. K. Fujiwara

Who trusts Alexei G. Myasnikov overall

1. Olga Kharlampovich
2. E. Daniyarova
3. Nikolay S. Romanovskii
4. Jorge Almeida
5. Doron Puder
6. N. Romanovskiy
7. Vladimir Nikanorovich Remeslennikov
8. Vincent Guirardel
9. Ilya Kapovich
10. Franccois Dahmani

Papers from Alexei G. Myasnikov's perspective

Ordered by how strongly the researchers Alexei G. Myasnikov trusts endorse each paper. Same corpus, a different order for every researcher.

1. Combinatorial Group Theory
2. Combination of convergence groups
3. Discriminating Completions of Hyperbolic Groups
4. Implicit function theorem over free groups
5. Effective JSJ Decompositions
6. Algebraic Geometry over Groups
7. JSJ-Decompositions of finitely presented groups and complexes of groups
8. Diophantine geometry over groups III: Rigid and solid solutions
9. Diophantine geometry over groups IV: An iterative procedure for validation of a sentence
10. Algebras with the same (algebraic) geometry

Their papers

• Elementary theory of free non-abelian groups (2006) — 254 citations
• Effective JSJ Decompositions (2004) — 57 citations
• Automorphic orbits in free groups (2002) — 48 citations
• Algebraic geometry over algebraic structures. II. Foundations (2012) — 84 citations
• Algebraic geometry over algebraic structures. IV. Equational domains and codomains (2011) — 54 citations
• Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness (2010) — 50 citations
• Unification theorems in algebraic geometry (2008) — 95 citations
• Krull dimension of solvable groups (2008) — 47 citations
• The Word and Geodesic Problems in Free Solvable Groups (2008) — 47 citations
• Implicit function theorem over free groups (2003) — 78 citations
• Discriminating Completions of Hyperbolic Groups (2002) — 49 citations
• Stallings Foldings and Subgroups of Free Groups (2002) — 260 citations
• Measuring sets in infinite groups (2002) — 57 citations
• ALGEBRAIC GEOMETRY OVER GROUPS II. LOGICAL FOUNDATIONS (2000) — 157 citations