LabCompass

Chenyang Xu

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2001
Algebraic Geometry and Number TheoryGeometry and complex manifoldsAdvanced Algebra and GeometryGeometric Analysis and Curvature FlowsPolynomial and algebraic computation

Publications

122

Citations

3,313

Est. group size

—

Recurring co-author estimate

Active years

26

Publishing since 2001

Research summary
AI-generated

Chenyang Xu works in algebraic geometry, focusing on the classification and moduli theory of Fano varieties (a class of geometric shapes central to the study of algebraic surfaces and higher-dimensional analogues) and on the notion of K-stability, which provides algebraic criteria related to the existence of special curved metrics on these spaces. This work connects to singularity theory, birational geometry, and the construction of moduli spaces that parametrize families of algebraic varieties.

K-stability of Fano varietiesModuli spaces in algebraic geometrySingularity theory and degenerationsBirational geometryValuation theory in algebraic geometry

Publication output was higher and more variable in 2017-2021 (5-12 papers/year) and has since settled into a steadier, lower pace of about 3-6 papers per year through 2025.

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

Publication cadence
Publications per year over the last 10 years — averaging 3.8/year recently
2017: 5 publications172018: 12 publications12182019: 8 publications192020: 8 publications202021: 9 publications212022: 5 publications222023: 3 publications232024: 3 publications242025: 6 publications252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×21
  • DSpace@MIT (Massachusetts Institute of Technology)×4
  • Oberwolfach Reports×4
  • Annals of Mathematics×3
  • Journal of the European Mathematical Society×2
Similar researchers
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.

Claim or correct this profile