Aner Shalev

Discrete Mathematics and Combinatorics · 2000–2011

A researcher in the Science corpus: 14 papers; trusts 23 researchers and is trusted by 28 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 43 citations into it; #86 of 2,017 by trust here, #45 by citations
• Geometry and Topology — 34 citations into it; #1,400 of 7,422 by trust here, #1,083 by citations
• Mathematical Physics — 34 citations into it; #1,414 of 8,562 by trust here, #1,097 by citations
• Artificial Intelligence — 18 citations into it; #8,335 of 35,345 by trust here, #13,962 by citations
• Algebra and Number Theory — 12 citations into it
• Computational Theory and Mathematics — 11 citations into it
• Electrical and Electronic Engineering — 9 citations into it; #2,069 of 16,539 by trust here, #8,322 by citations
• Applied Mathematics — 6 citations into it

Whom Aner Shalev trusts overall

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

1. Martin W. Liebeck
2. Michael Larsen
3. Nikolay Nikolov
4. Igor Pak
5. Robert M. Guralnick
6. Timothy C. Burness
7. Gabriel Navarro
8. Alexander Lubotzky
9. Jason E. Fulman
10. P. Py

Who trusts Aner Shalev overall

1. Shelly Garion
2. Michael Larsen
3. Jason E. Fulman
4. Robert M. Guralnick
5. Martin W. Liebeck
6. Timothy C. Burness
7. A. Kanel’-Belov
8. Nikolay Nikolov
9. Doron Puder
10. Andreas Thom

Papers from Aner Shalev's perspective

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

1. Polynomial representation growth and the congruence subgroup problem
2. Probabilistic generation of finite simple groups, II
3. The maximal subgroups of positive dimension in exceptional algebraic groups
4. On base sizes for actions of finite classical groups
5. Fixed point ratios in actions of finite exceptional groups of lie type.
6. The Structure of Parabolic Subgroups (Journal of Lie theory)
7. Cross characteristic representations of even characteristic symplectic groups
8. Character Theory of Finite Groups
9. Product decompositions of quasirandom groups and a Jordan type theorem
10. Fixed point ratios in actions of finite classical groups, III

Their papers

• Diameters of finite simple groups: sharp bounds and applications (2001) — 177 citations
• The Waring problem for finite simple groups (2011) — 122 citations
• Word maps, conjugacy classes, and a noncommutative Waring-type theorem (2009) — 144 citations
• The Ore conjecture (2010) — 233 citations
• Base sizes for simple groups and a conjecture of Cameron (2009) — 93 citations
• Counting arithmetic lattices and surfaces (2008) — 55 citations
• Characters of symmetric groups: sharp bounds and applications (2008) — 87 citations
• Word maps and Waring type problems (2007) — 110 citations
• Commutator maps, measure preservation, and T-systems (2007) — 74 citations
• Thompson-like characterizations of the solvable radical ✩ (2006) — 61 citations
• Character Degrees and Random Walks in Finite Groups of Lie Type (2005) — 99 citations
• Fuchsian groups, finite simple groups and representation varieties (2005) — 94 citations
• Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks (2004) — 121 citations
• New Horizons in pro-p Groups (2000) — 130 citations