World's Best Scientists 2026 revealed!

Overview

Yongbin Ruan is affiliated with the University of Michigan-Ann Arbor in the United States. Their research predominantly spans the field of Mathematics, with a significant focus on Geometry and Topology, alongside contributions to Mathematical Physics, Statistical and Nonlinear Physics, Discrete Mathematics and Combinatorics, and Public Health, Environmental and Occupational Health.

The main topics addressed in Yongbin Ruan's work include:

  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology
  • Nonlinear Waves and Solitons
  • Algebraic structures and combinatorial models
  • Geometry and complex manifolds

Recent publications by Yongbin Ruan demonstrate involvement in the study of gauged linear sigma models, quantum K-theory, and wall-crossing phenomena. Key papers include:

  • The logarithmic gauged linear sigma model, 2021, Inventiones mathematicae
  • Higher-genus wall-crossing in the gauged linear sigma model, 2020, Duke Mathematical Journal
  • Gromov-Witten Theory of Quotients of Fermat Calabi-Yau varieties, 2021, Memoirs of the American Mathematical Society
  • Verlinde/Grassmannian Correspondence and Rank 2 δ-Wall-Crossing, 2022, Peking Mathematical Journal
  • Quantum K-theory of toric varieties, level structures, and 3d mirror symmetry, 2022, Advances in Mathematics

Yongbin Ruan collaborates frequently with several authors, among whom are Yaoxiong Wen, Felix Janda, Qile Chen, Jianmei Yang, and Aiping Wu. These co-authorships indicate ongoing collaborations primarily within their fields of research.

The venues where Yongbin Ruan most commonly publishes include:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Inventiones mathematicae
  • Duke Mathematical Journal
  • Memoirs of the American Mathematical Society

Best Publications

  • A mathematical theory of quantum cohomology

    Yongbin Ruan;Gang Tian

  • A New Cohomology Theory of Orbifold

    Weimin Chen;Weimin Chen;Yongbin Ruan

  • Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds

    An Min Li;Yongbin Ruan

  • Orbifold Gromov-Witten Theory

    Weimin Chen Chen;Yongbin Ruan

  • Orbifolds and Stringy Topology

    Alejandro Adem;Johann Leida;Yongbin Ruan

  • The Witten equation, mirror symmetry, and quantum singularity theory

    Hiujun Fan;Tyler J. Jarvis;Yongbin Ruan

  • A New Cohomology Theory for Orbifold

    Weimin Chen;Yongbin Ruan

  • Higher genus symplectic invariants and sigma models coupled with gravity

    Yongbin Ruan;Gang Tian

  • Topological sigma model and Donaldson-type invariants in Gromov theory

    Yongbin Ruan

  • Twisted Orbifold K-Theory

    Alejandro Adem;Yongbin Ruan

  • The Witten equation and its virtual fundamental cycle

    Huijun Fan;Tyler J. Jarvis;Yongbin Ruan

  • Landau–Ginzburg/Calabi–Yau correspondence for quintic three-folds via symplectic transformations

    Alessandro Chiodo;Yongbin Ruan;Yongbin Ruan

  • LG/CY correspondence: the state space isomorphism

    Alessandro Chiodo;Yongbin Ruan;Yongbin Ruan

  • Landau-Ginzburg/Calabi-Yau correspondence, global mirror symmetry and Orlov equivalence

    Alessandro Chiodo;Hiroshi Iritani;Yongbin Ruan

  • Stringy Geometry and Topology of Orbifolds

    Yongbin Ruan

  • Symplectic topology on algebraic 3-folds

    Yongbin Ruan

  • Quantum Cohomology and Crepant Resolutions: A Conjecture

    Tom Coates;Yongbin Ruan

  • Cohomology ring of crepant resolutions of orbifolds

    Yongbin Ruan

  • BCFG Drinfeld–Sokolov hierarchies and FJRW-theory

    Si Qi Liu;Yongbin Ruan;Youjin Zhang

  • A mathematical theory of the gauged linear sigma model

    Huijun Fan;Tyler J. Jarvis;Yongbin Ruan

Frequent Co-Authors

Gang Tian
Gang Tian Peking University

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