LabCompass

Michael Lipnowski

Mathematics · The Ohio State University

OpenAlex
Mid career · publishing since 2013
Geometric and Algebraic TopologyAlgebraic Geometry and Number TheoryHomotopy and Cohomology in Algebraic TopologyAdvanced Algebra and GeometryMathematical Dynamics and Fractals

Publications

27

Citations

80

Est. group size

—

Recurring co-author estimate

Active years

14

Publishing since 2013

Research summary
AI-generated

Michael Lipnowski works in mathematics at the intersection of geometry, topology, and number theory, focusing on hyperbolic three-manifolds (three-dimensional geometric spaces with constant negative curvature), spectral gaps (bounds on how small certain eigenvalues of geometric operators can be), and gauge-theoretic invariants such as Seiberg-Witten and Monopole Floer homology. He also studies connections between automorphic forms, Hecke modules, and number-theoretic heuristics about elliptic curves and number fields. His work sits within pure mathematics, particularly the study of geometric structures and their algebraic/analytic invariants.

Hyperbolic three-manifolds and geometrySpectral gaps and eigenvalue estimatesGauge theory (Seiberg-Witten equations, Floer homology)Automorphic forms and Hecke modulesArithmetic statistics and number theory heuristics

Publication output has been fairly steady over the last decade at a modest pace of one to three papers per year, with a brief gap in 2022 and continued activity through 2025-2026.

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

Publication cadence
Publications per year over the last 10 years — averaging 1.4/year recently
2017: 1 publication172018: 3 publications3182019: 1 publication192020: 3 publications3202021: 3 publications321222023: 1 publication232024: 2 publications242025: 2 publications252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×15
  • International Mathematics Research Notices×2
  • The Annals of Probability×1
  • Journal of the American Mathematical Society×1
  • Geometric and Functional Analysis×1
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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 19, 2026.

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