Igor Pak

2.6k total citations
120 papers, 1.0k citations indexed

About

Igor Pak is a scholar working on Discrete Mathematics and Combinatorics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Igor Pak has authored 120 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 83 papers in Discrete Mathematics and Combinatorics, 41 papers in Geometry and Topology and 41 papers in Computational Theory and Mathematics. Recurrent topics in Igor Pak's work include Advanced Combinatorial Mathematics (67 papers), Advanced Mathematical Identities (20 papers) and semigroups and automata theory (15 papers). Igor Pak is often cited by papers focused on Advanced Combinatorial Mathematics (67 papers), Advanced Mathematical Identities (20 papers) and semigroups and automata theory (15 papers). Igor Pak collaborates with scholars based in United States, Russia and Slovenia. Igor Pak's co-authors include Greta Panova, Ernesto Vallejo, Alexander Lubotzky, Sergi Elizalde, Tatiana Nagnibeda, Alejandro H. Morales, Sergey Bratus, Sergei Chmutov, László Babai and Alexander Postnikov and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Annals of Mathematics.

In The Last Decade

Igor Pak

108 papers receiving 914 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Igor Pak United States	18	653	369	294	267	252	120	1.0k
David P. Robbins United States	14	476 0.7×	369 1.0×	188 0.6×	232 0.9×	141 0.6×	37	788
Richard Ehrenborg United States	16	593 0.9×	420 1.1×	240 0.8×	369 1.4×	150 0.6×	84	909
Gilbert Labelle Canada	12	292 0.4×	246 0.7×	290 1.0×	167 0.6×	190 0.8×	60	792
Catherine H. Yan United States	13	272 0.4×	206 0.6×	166 0.6×	206 0.8×	159 0.6×	56	612
Matthias Beck United States	14	428 0.7×	269 0.7×	252 0.9×	299 1.1×	112 0.4×	62	698
Hiroaki Terao Japan	17	1.2k 1.8×	975 2.6×	318 1.1×	598 2.2×	537 2.1×	59	1.6k
J. Pintz Hungary	19	620 0.9×	460 1.2×	223 0.8×	776 2.9×	161 0.6×	88	1.2k
Mark Haiman United States	23	1.2k 1.9×	1.2k 3.2×	251 0.9×	768 2.9×	634 2.5×	41	1.7k
Alek Vainshtein Israel	18	404 0.6×	662 1.8×	157 0.5×	420 1.6×	348 1.4×	50	986
Cyril Banderier France	9	317 0.5×	80 0.2×	175 0.6×	132 0.5×	203 0.8×	24	542

Countries citing papers authored by Igor Pak

Since Specialization

Citations

This map shows the geographic impact of Igor Pak's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Igor Pak with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Igor Pak more than expected).

Fields of papers citing papers by Igor Pak

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Igor Pak. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Igor Pak. The network helps show where Igor Pak may publish in the future.

Co-authorship network of co-authors of Igor Pak

This figure shows the co-authorship network connecting the top 25 collaborators of Igor Pak. A scholar is included among the top collaborators of Igor Pak based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Igor Pak. Igor Pak is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Pak, Igor, et al.. (2024). Linear extensions and continued fractions. European Journal of Combinatorics. 122. 104018–104018. 1 indexed citations

Pak, Igor, et al.. (2023). Effective Poset Inequalities. SIAM Journal on Discrete Mathematics. 37(3). 1842–1880. 3 indexed citations

Morales, Alejandro H., Igor Pak, & Greta Panova. (2017). Hook formulas for skew shapes I. q-analogues and bijections. Journal of Combinatorial Theory Series A. 154. 350–405. 18 indexed citations

Pak, Igor, Greta Panova, & Ernesto Vallejo. (2015). Kronecker products, characters, partitions, and the tensor square conjectures. Advances in Mathematics. 288. 702–731. 13 indexed citations

Pak, Igor, et al.. (2014). The shape of random pattern-avoiding permutations. Advances in Applied Mathematics. 55. 86–130. 16 indexed citations

Pak, Igor, et al.. (2013). Triangulations of Cayley and Tutte polytopes. Advances in Mathematics. 245. 1–33. 1 indexed citations

Ciocan-Fontanine, Ionuţ, et al.. (2011). The weighted hook length formula. Journal of Combinatorial Theory Series A. 118(6). 1703–1717. 9 indexed citations

Pak, Igor, et al.. (2007). Non-commutative extensions of the MacMahon Master Theorem. Advances in Mathematics. 216(1). 29–61. 14 indexed citations

Pak, Igor. (2004). Partition identities and geometric bijections. Proceedings of the American Mathematical Society. 132(12). 3457–3462. 8 indexed citations

10.

Pak, Igor, et al.. (2004). Tilings of rectangles with T-tetrominoes. Theoretical Computer Science. 319(1-3). 3–27. 12 indexed citations

11.

Guralnick, Robert M. & Igor Pak. (2002). On a question of B. H. Neumann. Proceedings of the American Mathematical Society. 131(7). 2021–2025. 2 indexed citations

12.

Pak, Igor, et al.. (2002). Expansion of product replacement graphs. Symposium on Discrete Algorithms. 691–696.

13.

Pak, Igor. (2001). Hook length formula and geometric combinatorics.. 46. 18 indexed citations

14.

Pak, Igor & Van H. Vu. (2001). On mixing of certain random walks, cutoff phenomenon and sharp threshold of random matroid processes. Discrete Applied Mathematics. 110(2-3). 251–272. 11 indexed citations

15.

Pak, Igor & Tatiana Nagnibeda. (2000). On non-uniqueness of percolation on nonamenable Cayley graphs. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 330(6). 495–500. 32 indexed citations

16.

Babai, László & Igor Pak. (2000). Strong bias of group generators: an obstacle to the “product replacement algorithm”. Symposium on Discrete Algorithms. 50(2). 627–635. 16 indexed citations

17.

Bratus, Sergey & Igor Pak. (2000). Fast Constructive Recognition of a Black Box Group Isomorphic toSnorAnusing Goldbach’s Conjecture. Journal of Symbolic Computation. 29(1). 33–57. 17 indexed citations

18.

Pak, Igor. (2000). On the Number of Faces of Certain Transportation Polytopes. European Journal of Combinatorics. 21(5). 689–694. 4 indexed citations

19.

Pak, Igor. (1999). Using stopping times to bound mixing times. Symposium on Discrete Algorithms. 953–954. 2 indexed citations

20.

Pak, Igor. (1999). Reduced decompositions of permutations in terms of star transpositions, generalized Catalan numbers and k-ARY trees. Discrete Mathematics. 204(1-3). 329–335. 25 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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