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Baiying Liu

Mathematics · Purdue University West Lafayette

OpenAlex
Mid career · publishing since 2011Rising activity
Advanced Algebra and GeometryAlgebraic Geometry and Number TheoryFinite Group Theory ResearchAlgebraic structures and combinatorial modelsGeometry and complex manifolds

Publications

69

Citations

378

Est. group size

—

Recurring co-author estimate

Active years

15

Publishing since 2011

Research summary
AI-generated

Baiying Liu works in an area of pure mathematics called representation theory and automorphic forms, which studies symmetry structures (called groups) and how they connect to number theory and harmonic analysis on p-adic and finite fields. Much of the work concerns 'nilpotent orbits,' 'Arthur packets,' and 'converse theorems,' which are technical tools used to classify and understand families of representations associated to classical groups (such as orthogonal and symplectic groups) and their arithmetic applications. This research is highly theoretical and contributes to the Langlands program, a major unifying framework in modern number theory. Note: one unrelated pair of publications on wastewater denitrification microbiology appears in the record and is likely a mismatched entry rather than part of this researcher's core work.

Representation theory of p-adic and finite groupsAutomorphic forms and the Langlands programNilpotent orbits and wavefront setsConverse theorems for classical groupsArthur packets and unitary duals

Publication output has fluctuated over the past decade, dipping around 2021-2022 before rebounding with a notable increase in 2023-2024.

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

Publication cadence
Publications per year over the last 10 years — averaging 3.4/year recently
2017: 5 publications172018: 9 publications9182019: 6 publications192020: 3 publications202021: 3 publications212022: 1 publication222023: 6 publications232024: 8 publications242025: 2 publications2526
Recent publications
Publishes in
  • arXiv (Cornell University)×25
  • Representation Theory of the American Mathematical Society×3
  • American Journal of Mathematics×2
  • Science China Mathematics×2
  • Journal of Number Theory×2
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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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