LabCompass

Ilya D. Shkredov

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2002
Limits and Structures in Graph TheoryAnalytic Number Theory ResearchFinite Group Theory ResearchAdvanced Topology and Set TheoryGraph theory and applications

Publications

223

Citations

1,565

Est. group size

—

Recurring co-author estimate

Active years

25

Publishing since 2002

Research summary
AI-generated

Ilya D. Shkredov works in additive combinatorics and analytic number theory, studying how sets of numbers behave under addition and multiplication (for example, how large the sumset or product set of a set can be, or how few elements are needed to generate structure). His work also touches on related topics such as distributions of quadratic residues, Fourier analysis of sets, and matrices built from arbitrary sets. This research is largely theoretical, aiming to prove precise mathematical bounds and structural results rather than build applied tools.

Additive combinatorics (sumsets, sum-product problems)Analytic number theory (quadratic residues, modular roots)Fourier analysis of sets with small doublingCombinatorial structure and energy methodsMatrix and determinant problems over arbitrary sets

Publication counts were fairly steady at 10-16 per year from 2017 to 2023 but have declined more recently, dropping to single digits in 2024-2025, with the 5-year average now at about 7.4 per year.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 7.4/year recently
2017: 15 publications172018: 13 publications182019: 13 publications192020: 16 publications16202021: 15 publications212022: 10 publications222023: 13 publications232024: 7 publications242025: 6 publications252026: 1 publication26
Recent publications
Publishes in
  • arXiv (Cornell University)×43
  • Proceedings of the Steklov Institute of Mathematics×5
  • Mathematika×4
  • Finite Fields and Their Applications×4
  • Journal of Number Theory×4
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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