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Zhiyuan Geng

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Established · publishing since 1984
Nonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringGeometric Analysis and Curvature FlowsLiquid Crystal Research AdvancementsSolidification and crystal growth phenomena

Publications

36

Citations

60

Est. group size

—

Recurring co-author estimate

Active years

43

Publishing since 1984

Research summary
AI-generated

Zhiyuan Geng works in mathematical analysis, focusing on partial differential equations that describe patterns and defects in physical systems such as liquid crystals, phase-separated materials, and geometric flows. Much of the work studies 'triple junctions' (where three different material regions meet), point defects in liquid crystals, and related variational and rigidity questions using tools from calculus of variations and PDE theory. This research is largely theoretical, aiming to rigorously explain the mathematical structure behind physical phenomena like crystal growth, wave propagation, and material interfaces.

Partial differential equationsCalculus of variationsLiquid crystal modeling and defectsAllen-Cahn and phase transition systemsGeometric analysis and harmonic maps

Publication output has grown from about 1 paper per year in 2017 to a sustained pace of roughly 5-7 papers per year since 2022, indicating a steady and increasingly productive publication record.

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

Publication cadence
Publications per year over the last 10 years — averaging 4.8/year recently
2017: 1 publication17182019: 2 publications192020: 2 publications202021: 4 publications212022: 7 publications7222023: 2 publications232024: 7 publications7242025: 6 publications252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×16
  • Calculus of Variations and Partial Differential Equations×3
  • Archive for Rational Mechanics and Analysis×2
  • SIAM Journal on Mathematical Analysis×2
  • BIRD (Basque Center for Applied Mathematics)×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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