LabCompass

Takumi Murayama

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2012
Algebraic Geometry and Number TheoryAlgebraic structures and combinatorial modelsCommutative Algebra and Its ApplicationsHomotopy and Cohomology in Algebraic TopologyAdvanced Algebra and Geometry

Publications

37

Citations

124

Est. group size

—

Recurring co-author estimate

Active years

15

Publishing since 2012

Research summary
AI-generated

Takumi Murayama works in algebraic geometry and commutative algebra, studying the structure of geometric spaces called schemes and the algebraic rings that describe them. Much of the work concerns singularities (points where geometric objects are not smooth), vanishing theorems (technical tools used to control the behavior of certain functions on these spaces), and how properties of these spaces persist or change under various algebraic operations. This research is largely theoretical, aiming to extend classical results from complex geometry to more general algebraic settings, including positive characteristic and mixed characteristic contexts.

Algebraic geometry of schemes and singularitiesCommutative algebra and ring theoryVanishing theorems and cohomologyPositive/mixed characteristic algebraic geometryModuli spaces and vector bundles

Publication output has been variable but generally active over the last decade, with a peak in 2022, a pause in 2023, and continued output through 2024–2026, averaging about 2.6 publications per year over the last five years.

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

Publication cadence
Publications per year over the last 10 years — averaging 2.6/year recently
2017: 2 publications172018: 1 publication182019: 5 publications192020: 3 publications202021: 5 publications212022: 7 publications722232024: 4 publications242025: 1 publication252026: 1 publication26
Recent publications
Publishes in
  • arXiv (Cornell University)×15
  • IEICE Technical Report; IEICE Tech. Rep.×2
  • Journal of Pure and Applied Algebra×1
  • Algebraic geometry×1
  • Journal of the European Mathematical Society×1
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By research-topic overlap

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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