Mark V. Sapir

Geometry and Topology · 2001–2015

A researcher in the Science corpus: 12 papers; trusts 12 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 61 citations into it; #381 of 7,422 by trust here, #275 by citations
• Mathematical Physics — 50 citations into it; #408 of 8,562 by trust here, #267 by citations
• Computational Theory and Mathematics — 23 citations into it; #6,831 of 12,182 by trust here, #5,465 by citations
• Discrete Mathematics and Combinatorics — 13 citations into it; #944 of 2,017 by trust here, #567 by citations
• Applied Mathematics — 12 citations into it; #7,525 of 7,620 by trust here, #4,033 by citations

Whom Mark V. Sapir trusts overall

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

1. Cornelia Drutu
2. Daniel S. Farley
3. Denis V. Osin
4. Victor S. Guba
5. Iroon Polytechniou
6. Laurent Bartholdi
7. Mikhail Volkov
8. Jason A. Behrstock
9. Daniel T. Wise
10. Brian H. Bowditch

Who trusts Mark V. Sapir overall

1. Alessandro Sisto
2. D. Groves
3. Jason A. Behrstock
4. Cornelia Drutu
5. Denis V. Osin
6. A. Ol’shanskii
7. Nathanial P. Brown Narutaka Ozawa
8. Gili Golan
9. Goulnara Arzhantseva
10. H. Bigdely

Papers from Mark V. Sapir's perspective

Ordered by how strongly the researchers Mark V. Sapir trusts endorse each paper. Same corpus, a different order for every researcher.

1. Asymptotic Cones of Finitely Generated Groups
2. Rank-1 phenomena for mapping class groups
3. Diophantine geometry over groups I: Makanin-Razborov diagrams
4. Groups with the Haagerup Property
5. Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups☆
6. Tree-graded spaces and asymptotic cones of groups
7. Random walk in random groups
8. The domino problem for hyperbolic groups
9. Tight geodesics in the curve complex
10. Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity

Their papers

• Non-amenable finitely presented torsion-by-cyclic groups (2001) — 138 citations
• Combinatorial algebra : syntax and semantics (2014) — 81 citations
• On subgroups of R. Thompson's group $F$ (2015) — 73 citations
• On Jones' subgroup of R. Thompson group $F$ (2015) — 58 citations
• Divergence in lattices in semisimple Lie groups and graphs of groups (2008) — 119 citations
• Lacunary hyperbolic groups (2007) — 124 citations
• Groups acting on tree-graded spaces and splittings of relatively hyperbolic groups☆ (2006) — 56 citations
• Tree-graded spaces and asymptotic cones of groups (2004) — 416 citations
• Relatively Hyperbolic Groups with Rapid Decay Property (2004) — 51 citations
• Metrics on diagram groups and uniform embeddings in a Hilbert space (2004) — 60 citations
• Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms (2003) — 60 citations
• Diagram groups and directed 2-complexes: Homotopy and homology (2003) — 48 citations