Nikolay Nikolov

Geometry and Topology · 2003–2012

A researcher in the Science corpus: 9 papers; trusts 18 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 50 citations into it; #2,114 of 7,422 by trust here, #1,149 by citations
• Mathematical Physics — 38 citations into it; #6,958 of 8,562 by trust here, #2,288 by citations
• Discrete Mathematics and Combinatorics — 37 citations into it; #308 of 2,017 by trust here, #232 by citations
• Computational Theory and Mathematics — 14 citations into it
• Applied Mathematics — 13 citations into it
• Artificial Intelligence — 7 citations into it; #13,145 of 35,345 by trust here, #19,439 by citations
• Electrical and Electronic Engineering — 6 citations into it; #4,784 of 16,539 by trust here, #11,313 by citations

Whom Nikolay Nikolov trusts overall

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

1. Michael Larsen
2. Marc Lackenby
3. Martin W. Liebeck
4. D. Segal
5. Aner Shalev
6. Alexander S. Kechris
7. Alexander Lubotzky
8. W. Lück
9. Harald Andrés Helfgott
10. Robert M. Guralnick

Who trusts Nikolay Nikolov overall

1. Andreas Thom
2. Gareth Wilkes
3. Michael Larsen
4. Aner Shalev
5. Martin R. Bridson
6. P. P. Varj'u
7. László Pyber
8. Harald Andrés Helfgott
9. Alexander I. Shtern
10. Alexander Lubotzky

Papers from Nikolay Nikolov's perspective

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

1. Topics in orbit equivalence
2. Word maps have large image
3. On Jordan's theorem for complex linear groups
4. L2-Invariants: Theory and Applications to Geometry and K-Theory
5. Bounded geometry for Kleinian groups
6. Finite subgroups of algebraic groups
7. Expanders, rank and graphs of groups
8. The rank gradient from a combinatorial viewpoint
9. Lie Groups
10. Words: Notes on Verbal Width in Groups

Their papers

• Product decompositions of quasirandom groups and a Jordan type theorem (2007) — 108 citations
• On the growth of $L^2$-invariants for sequences of lattices in Lie groups (2012) — 223 citations
• Generators and commutators in finite groups; abstract quotients of compact groups (2011) — 49 citations
• On the growth of Betti numbers of locally symmetric spaces (2011) — 58 citations
• Rank gradient, cost of groups and the rank versus Heegaard genus problem (2007) — 102 citations
• The rank gradient from a combinatorial viewpoint (2007) — 67 citations
• On finitely generated profinite groups, II: products in quasisimple groups (2006) — 85 citations
• On finitely generated profinite groups, I: strong completeness and uniform bounds (2006) — 273 citations
• Finite index subgroups in profinite groups (2003) — 84 citations