Ilya Kapovich

Geometry and Topology · 2000–2012

A researcher in the Science corpus: 9 papers; trusts 23 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 45 citations into it; #1,070 of 7,422 by trust here, #788 by citations
• Mathematical Physics — 41 citations into it; #1,238 of 8,562 by trust here, #874 by citations
• Computational Theory and Mathematics — 8 citations into it; #6,763 of 12,182 by trust here, #5,724 by citations
• Applied Mathematics — 6 citations into it; #3,426 of 7,620 by trust here, #3,100 by citations
• Discrete Mathematics and Combinatorics — 6 citations into it

Whom Ilya Kapovich trusts overall

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

1. Karen Vogtmann
2. M. Bestvina
3. Daniel T. Wise
4. Brian H. Bowditch
5. Eugene Seneta
6. Gerald A. Edgar
7. Mark Feighn
8. Vincent Guirardel
9. Michael Kapovich
10. Jon McCammond

Who trusts Ilya Kapovich overall

1. M. Bestvina
2. Spencer Dowdall
3. S. Keith
4. Jorge Almeida
5. A. Hilion
6. Greg Hjorth
7. Samuel J. Taylor
8. Doron Puder
9. Mark Feighn
10. Martin Lustig

Papers from Ilya Kapovich's perspective

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

1. Intersection numbers and the hyperbolicity of the curve complex
2. Automorphisms of Free Groups and Outer Space
3. The free splitting complex of a free group I: Hyperbolicity
4. A hyperbolic Out(Fn)-complex
5. Embeddings of Gromov Hyperbolic Spaces
6. Endomorphisms of Relatively Hyperbolic Groups (International journal of algebra and computation)
7. Train tracks and the geometry of the complex of curves
8. The topology at infinity of Out(Fn)
9. Geometric Intersection Number and analogues of the Curve Complex for free groups
10. Dynamics of Out(Fn) on the boundary of outer space

Their papers

• The equivalence of some residual properties of word-hyperbolic groups (2000) — 54 citations
• On hyperbolicity of free splitting and free factor complexes (2012) — 80 citations
• Intersection Form, Laminations and Currents on Free Groups (2007) — 73 citations
• Geometric Intersection Number and analogues of the Curve Complex for free groups (2007) — 109 citations
• The actions of ${\mathit{Out}(F_k)}$ on the boundary of Outer space and on the space of currents: minimal sets and equivariant incompatibility (2006) — 47 citations
• The Patterson–Sullivan Embedding and Minimal Volume Entropy for Outer Space (2005) — 51 citations
• Stallings Foldings and Subgroups of Free Groups (2002) — 260 citations
• Genericity, the Arzhantseva-Ol’shanskii method and the isomorphism problem for one-relator groups (2002) — 59 citations
• Boundaries of hyperbolic groups (2002) — 273 citations