LabCompass

Nicholas McCleerey

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Early career · publishing since 2017Rising activity
Geometry and complex manifoldsGeometric Analysis and Curvature FlowsAlgebraic Geometry and Number TheoryNonlinear Partial Differential EquationsHolomorphic and Operator Theory

Publications

25

Citations

38

Est. group size

—

Recurring co-author estimate

Active years

10

Publishing since 2017

Research summary
AI-generated

Nicholas McCleerey works in complex and real geometric analysis, focusing on nonlinear partial differential equations such as the Monge-Ampère and complex Hessian equations that arise in the study of curved geometric spaces (complex manifolds and Kähler geometry). His work examines when solutions to these equations are smooth versus singular, and connects these questions to algebraic and tropical geometry, including Calabi-Yau spaces. This research is largely theoretical, aimed at understanding the mathematical foundations underlying geometric structures used elsewhere in geometry and mathematical physics.

Complex Monge-Ampère equationsKähler geometry and metricsRegularity and singularities of PDE solutionsComplex Hessian and pluripotential theoryTropical/non-Archimedean and Calabi-Yau geometry

Publication output has grown steadily over the last decade, rising from about one paper per year in 2017-2018 to roughly three to four per year in 2022-2025.

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

Publication cadence
Publications per year over the last 10 years — averaging 3.0/year recently
2017: 1 publication172018: 1 publication182019: 2 publications192020: 2 publications202021: 2 publications212022: 3 publications222023: 2 publications232024: 4 publications4242025: 4 publications4252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×13
  • Journal of Functional Analysis×2
  • Journal of Geometric Analysis×2
  • Advances in Mathematics×1
  • Épijournal de Géométrie Algébrique×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 20, 2026.

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