IP
Igor Pak
math.COcs.DMcs.CCmath.PRmath.RTmath.AGcs.CGmath.GRmath.LOmath.MG
On Valency
published · living versionsW_upz87tk9·v1 · currentpublished
Strongly explicit Ramanujan 2-lift towers via Hilbert modular forms
with Olga Kharlampovich, Alina Vdovina
1 version
Preprints & journals
105 papers in the corpus · 2004–2026On the largest Littlewood--Richardson coefficient2608.03281v1 · Igor Pak, Daniel Soskin2026 · 0 citationsarXiv
Quantum determinants in polynomial time2607.13186v1 · Igor Pak, Daniel Soskin2026 · 0 citationsarXiv
Equality conditions for correlation inequalities2607.06275v1 · Swee Hong Chan, Igor Pak2026 · 0 citationsarXiv
Correlation inequalities for Schur positivity2606.06688v1 · Swee Hong Chan, Hong Chen, Igor Pak et al.2026 · 0 citationsarXiv
Stretched Schubert coefficients are eventually quasi-polynomial2604.27107v1 · Igor Pak, Zachary Slonim2026 · 0 citationsarXiv
Saturation property fails for Schubert coefficients2601.04182v2 · Igor Pak, Colleen Robichaux2026 · 1 citationarXiv
A combinatorial interpretation for certain plethysm and Kronecker coefficients2511.02312v3 · Igor Pak, Greta Panova, Joshua P. Swanson2025 · 0 citationsarXiv
Vanishing of Schubert coefficients in probabilistic polynomial time2509.16467v1 · Igor Pak, Colleen Robichaux2025 · 0 citationsarXiv
Hilbert-Kunz multiplicity of quadrics via Ehrhart theory2508.17915v5 · Igor Pak, Boris Shapiro, Ilya Smirnov et al.2025 · 0 citationsarXiv
On Vanishing of Gromov--Witten Invariants2508.15715v1 · Igor Pak, Colleen Robichaux, Weihong Xu2025 · 0 citationsarXiv
The bunkbed conjecture is false.40512791 · Gladkov, Nikita, Pak, Igor, Zimin, Aleksandr2025 · 4 citationsProceedings of the National Academy of Sciences of the United States of America. 2025;122(24):e2420725122
Effective resistance in planar graphs and continued fractions2505.19168v1 · Swee Hong Chan, Alex Kontorovich, Igor Pak2025 · 0 citationsarXiv
Signed puzzles for Schubert coefficients2504.17734v2 · Igor Pak, Colleen Robichaux2025 · 0 citationsarXiv
Vanishing of Schubert coefficients is in assuming the GRH2504.03004v1 · Igor Pak, Colleen Robichaux2025 · 0 citationsarXiv
Positivity of Schubert Coefficients2412.18984v1 · Igor Pak, Colleen Robichaux2024 · 0 citationsarXiv
Vanishing of Schubert Coefficients2412.02064v3 · Igor Pak, Colleen Robichaux2024 · 2 citationsarXiv
Spanning trees and continued fractions2411.18782v2 · Swee Hong Chan, Alex Kontorovich, Igor Pak2024 · 0 citationsarXiv
Exploring mazes at random2408.00978v2 · Nikita Gladkov, Igor Pak2024 · 0 citationsarXiv
Equality cases of the Stanley--Yan log-concave matroid inequality2407.19608v2 · Swee Hong Chan, Igor Pak2024 · 0 citationsarXiv
Signed combinatorial interpretations in algebraic combinatorics2406.13902v3 · Igor Pak, Colleen Robichaux2024 · 2 citationsarXiv
Monotone parameters on Cayley graphs of finitely generated groups2404.10870v2 · Martin Kassabov, Igor Pak2024 · 0 citationsarXiv
All triangulations have a common stellar subdivision2404.05930v2 · Karim Adiprasito, Igor Pak2024 · 1 citationarXiv
Positive dependence for colored percolation.38491586 · Gladkov, Nikita, Pak, Igor2024 · 1 citationPhysical review. E. 2024;109(2):L022101
Linear extensions and continued fractions2401.09723v2 · Swee Hong Chan, Igor Pak2024 · 2 citationsEuropean J. Combin. 122 (2024), no. 104018, 15 pp
Linear extensions of finite posets2311.02743v2 · Swee Hong Chan, Igor Pak2023 · 4 citationsarXiv
Equality cases of the Alexandrov--Fenchel inequality are not in the polynomial hierarchy2309.05764v3 · Swee Hong Chan, Igor Pak2023 · 9 citations\Forum Math. Pi 12 (2024), e21 1--38
Computational complexity of counting coincidences2308.10214v2 · Swee Hong Chan, Igor Pak2023 · 2 citationsTheoret. Comput. Sci. 1015 (2024) 114776
On the cross-product conjecture for the number of linear extensions2306.09240v1 · Swee Hong Chan, Igor Pak, Greta Panova2023 · 2 citationsCan. J. Math.-J. Can. Math. 77 (2025) 535-562
Multivariate correlation inequalities for -partitions2212.11954v1 · Swee Hong Chan, Igor Pak2022 · 4 citationsPacific J. Math. 323 (2023) 223-252
Correlation inequalities for linear extensions2211.16637v2 · Swee Hong Chan, Igor Pak2022 · 2 citationsAdv. in Math. 458 (2024), No. 109954, 33 pp
Algebraic and arithmetic properties of the cogrowth sequence of nilpotent groups2210.09419v1 · Igor Pak, David Soukup2022 · 0 citationsarXiv
What is a combinatorial interpretation?2209.06142v1 · Igor Pak2022 · 8 citationsarXiv
Positivity of the symmetric group characters is as hard as the polynomial time hierarchy2207.05423v2 · Christian Ikenmeyer, Igor Pak, Greta Panova2022 · 10 citationsInternational Mathematics Research Notices, Volume 2024, Issue 10, pages 8442-8458
Durfee squares, symmetric partitions and bounds on Kronecker coefficients2207.02561v2 · Igor Pak, Greta Panova2022 · 4 citationsarXiv
Effective poset inequalities2205.02798v3 · Swee Hong Chan, Igor Pak, Greta Panova2022 · 7 citationsSIAM J. Discrete Math. 37 (2023), 1842--1880
What is in #P and what is not?2204.13149v1 · Christian Ikenmeyer, Igor Pak2022 · 13 citationsarXiv
Introduction to the combinatorial atlas2203.01533v1 · Swee Hong Chan, Igor Pak2022 · 12 citationsExpo. Math. 40 (2022), no. 4, 1014-1048
Log-concave poset inequalities2110.10740v3 · Swee Hong Chan, Igor Pak2021 · 9 citationsJournal of Association for Mathematical Research, vol. 2, issue 1 (2024), 53--153
Hook formulas for skew shapes IV. Increasing tableaux and factorial Grothendieck polynomials2108.10140v2 · Alejandro H. Morales, Igor Pak, Greta Panova2021 · 9 citationsarXiv
Log-concavity in planar random walks2106.10640v2 · Swee Hong Chan, Igor Pak, Greta Panova2021 · 2 citationsCombinatorica 42 (2022), 1011--1026
Extensions of the Kahn--Saks inequality for posets of width two2106.07133v3 · Swee Hong Chan, Igor Pak, Greta Panova2021 · 11 citationsComb. Theory 3 (2023), P1.8
The cross-product conjecture for width two posets2104.09009v3 · Swee Hong Chan, Igor Pak, Greta Panova2021 · 7 citationsTrans. Amer. Math. Soc. 375 (2022), no. 8, 5923-5961
Bijecting hidden symmetries for skew staircase shapes2103.09551v3 · Zachary Hamaker, Alejandro H. Morales, Igor Pak et al.2021 · 2 citationsarXiv
On the number of contingency tables and the independence heuristic2009.10810v1 · Hanbaek Lyu, Igor Pak2020 · 7 citationsarXiv
Lower bounds for contingency tables via Lorentzian polynomials2008.05907v3 · Petter Brand'en, Jonathan Leake, Igor Pak2020 · 17 citationsarXiv
Sorting probability of Catalan posets2005.13686v1 · Swee Hong Chan, Igor Pak, Greta Panova2020 · 3 citationsAdv. in Appl. Math. 129 (2021), Paper No. 102221, 13 pp
Sorting probability for large Young diagrams2005.08390v2 · Swee Hong Chan, Igor Pak, Greta Panova2020 · 4 citationsDiscrete Analysis, 2021:24, 57 pp
Domes over curves2005.02555v2 · Alexey Glazyrin, Igor Pak2020 · 2 citationsarXiv
Hidden symmetries of weighted lozenge tilings2003.14236v2 · Igor Pak, Fedor Petrov2020 · 2 citationsarXiv
Breaking down the reduced Kronecker coefficients2003.11398v2 · Igor Pak, Greta Panova2020 · 11 citationsarXiv
Career total: 284 works. 105 are in this corpus.Showing the 50 most recent.
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