Igor Pak

Discrete Mathematics and Combinatorics · 2000–2013

A researcher in the Science corpus: 11 papers; trusts 8 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 9 citations into it; #369 of 2,017 by trust here, #604 by citations
• Algebra and Number Theory — 7 citations into it; #1,255 of 2,864 by trust here, #1,740 by citations
• Geometry and Topology — 6 citations into it; #5,221 of 7,422 by trust here, #6,497 by citations

Whom Igor Pak trusts overall

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

1. László Babai
2. David S. Johnson
3. Freeman J. Dyson
4. Michael J. Schlosser
5. William M. Kantor
6. Scott Ahlgren
7. Laurent Bartholdi
8. Matthias Christandl
9. Bruce E. Sagan
10. Ken Ichi Ono

Who trusts Igor Pak overall

1. Shelly Garion
2. Jeremy Lovejoy
3. Damien Gaboriau
4. Aner Shalev
5. Christian Krattenthaler
6. Joanna A. Ellis-Monaghan
7. Yuval Peres
8. William Y. C. Chen
9. Russell Lyons
10. Rostislav I. Grigorchuk

Papers from Igor Pak's perspective

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

1. The NP-Completeness Column: An Ongoing Guide
2. Asymptotic Formulaæ in Combinatory Analysis
3. Multilateral Inversion of Ar, Cr, and Dr Basic Hypergeometric Series
4. A walk through Ramanujan’s garden
5. Addition and counting: the arithmetic of partitions
6. Branch groups
7. On the Jones polynomials of checkerboard colorable virtual links
8. Nonzero Kronecker Coefficients and What They Tell us about Spectra
9. Modern Graph Theory (Graduate Texts in Mathematics)
10. Conjectures involving arithmetical sequences

Their papers

• On non-uniqueness of percolation on nonamenable Cayley graphs * (2000) — 90 citations
• WHAT DO WE KNOW ABOUT THE PRODUCT REPLACEMENT ALGORITHM (2009) — 75 citations
• Strict unimodality of q-binomial coefficients (2013) — 60 citations
• Log-concavity of the partition function (2013) — 159 citations
• Groups of Intermediate Growth, an Introduction (2008) — 55 citations
• The Kauffman bracket of virtual links and the Bollob\'as-Riordan polynomial (2006) — 59 citations
• Partition bijections, a survey (2006) — 159 citations
• Rigidity and polynomial invariants of convex polytopes (2005) — 50 citations
• Hook length formula and geometric combinatorics. (2001) — 52 citations
• Ribbon tile invariants (2000) — 51 citations
• Four Questions on Birkhoff Polytope (2000) — 48 citations