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Mathematics

D-Index
49
Citations
9571
World Ranking
1149
National Ranking
521

Overview

Chongying Dong is affiliated with the University of California, Santa Cruz, in the United States. Their research spans mainly within the fields of Mathematics and Physics and Astronomy, with a strong focus on Geometry and Topology, Algebra and Number Theory, Statistical and Nonlinear Physics, Mathematical Physics, and Discrete Mathematics and Combinatorics.

The scientist's research topics include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Advanced Operator Algebra Research
  • Algebraic Geometry and Number Theory

Chongying Dong has published extensively, with key papers appearing in notable venues such as the Journal of Algebra, Transactions of the American Mathematical Society, Advances in Mathematics, Science China Mathematics, and arXiv. Some of their recent publications include:

  • "G-twisted associative algebras of vertex operator superalgebras" (2022, Journal of Algebra)
  • "Fusion products of twisted modules in permutation orbifolds" (2023, Transactions of the American Mathematical Society)
  • "S-matrix in orbifold theory" (2020, Journal of Algebra)
  • "S-matrix in permutation orbifolds" (2022, Journal of Algebra)
  • "Orbifold theory for vertex algebras and Galois correspondence" (2024, Journal of Algebra)

Frequent collaborators with Chongying Dong include Li Ren, Feng Xu, Nina Yu, Siu-Hung Ng, and Chao Yang. These coauthors have worked alongside Dong on various projects, contributing collectively to the development of theories within algebra, topology, and mathematical physics.

The scientist's publication venues by volume include arXiv with thirteen papers, the Journal of Algebra with seven papers, Science China Mathematics with three papers, Transactions of the American Mathematical Society with two, and Advances in Mathematics with two papers.

Best Publications

  • Generalized Vertex Algebras and Relative Vertex Operators

    Chongying Dong;James Lepowsky

  • Twisted representations of vertex operator algebras

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • Regularity of Rational Vertex Operator Algebras

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • Modular-Invariance of Trace Functions¶in Orbifold Theory and Generalized Moonshine

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • Vertex Algebras Associated with Even Lattices

    C.Y. Dong

  • Modular invariance of trace functions in orbifold theory

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • On quantum Galois theory

    Chongying Dong;Geoffrey Mason

  • Rationality, regularity, and ₂-cofiniteness

    Toshiyuki Abe;Toshiyuki Abe;Geoffrey Buhl;Geoffrey Buhl;Chongying Dong

  • Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinite-dimensional methods

    Unknown

  • Compact automorphism groups of vertex operator algebras

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • W-Algebra W(2, 2) and the Vertex Operator Algebra {L( rac{1}{2},\,0)\,\otimes\, L( rac{1}{2},\,0)}

    Wei Zhang;Chongying Dong

  • Framed Vertex Operator Algebras, Codes and the Moonshine Module

    Chongying Dong;Robert L. Griess;Gerald Höhn

  • Twisted Modules for Vertex Algebras Associated with Even Lattices

    C.Y. Dong

  • Simple currents and extensions of vertex operator algebras

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • Rational vertex operator algebras and the effective central charge

    Chongying Dong;Geoffrey Mason

  • Vertex Operator Algebras and Associative Algebras

    Chongying Dong;Haisheng Li;Geoffrey Mason

  • The algebraic structure of relative twisted vertex operators

    Chongying Dong;James Lepowsky

  • Holomorphic vertex operator algebras of small central charge

    Chongying Dong;Geoffrey Mason

  • Fusion Rules for the Vertex Operator Algebras M(1)+ and V+ L

    Toshiyuki Abe;Chongying Dong;Haisheng Li;Haisheng Li

  • W -algebras related to parafermion algebras

    Chongying Dong;Ching Hung Lam;Hiromichi Yamada

  • Framed vertex operator algebras, codes and the moonshine module

    C. Dong;R.L. Griess;G. Hoehn

  • Vertex Operator Algebras Associated to Admissible Representations of

    Chongying Dong;Haisheng Li;Geoffrey Mason

Frequent Co-Authors

Haisheng Li
Haisheng Li Rutgers, The State University of New Jersey
James Lepowsky
James Lepowsky Rutgers, The State University of New Jersey

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