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D-Index & Metrics

Mathematics

D-Index
40
Citations
6780
World Ranking
2054
National Ranking
870

Overview

Yi-Zhi Huang is affiliated with Rutgers, The State University of New Jersey in the United States. Their research work is primarily situated in the field of Mathematics, with a focus on several subfields including Geometry and Topology, Algebra and Number Theory, Statistical and Nonlinear Physics, Mathematical Physics, and Computational Theory and Mathematics.

The topics that dominate their work include algebraic structures and combinatorial models, advanced topics in algebra, nonlinear waves and solitons, matrix theory and algorithms, homotopy and cohomology in algebraic topology, geophysical and geoelectrical methods, and spectral theory in mathematical physics.

Frequent publication venues for Yi-Zhi Huang include arXiv (Cornell University), Communications in Mathematical Physics, Journal of Pure and Applied Algebra, Chinese Annals of Mathematics Series B, and Communications in Contemporary Mathematics.

Their recent papers include:

  • "Lower-bounded and grading-restricted twisted modules for affine vertex (operator) algebras" (2020, Journal of Pure and Applied Algebra)
  • "Modular Invariance of (Logarithmic) Intertwining Operators" (2024, Communications in Mathematical Physics)
  • "Corrigendum to "Logarithmic intertwining operators and associative algebras" [J. Pure Appl. Algebra 216 (2012) 1467-1492]" (2022, Journal of Pure and Applied Algebra)
  • "Representation theory of vertex operator algebras and orbifold conformal field theory" (2021, Contemporary mathematics - American Mathematical Society)
  • "Associative Algebras and Intertwining Operators" (2022, Communications in Mathematical Physics)

Yi-Zhi Huang collaborates frequently with several co-authors, including Christopher Sadowski, Feng Wang, Hong Qiu, Xiaozhe Gu, and Renfang Wang.

Best Publications

  • On Axiomatic Approaches to Vertex Operator Algebras and Modules

    Igor B. Frenkel;Yi-Zhi Huang;James Lepowsky

  • RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

    Yi Zhi Huang

  • Two-Dimensional Conformal Geometry and Vertex Operator Algebras

    Yi-Zhi Huang

  • VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE

    Yi-Zhi Huang;Yi-Zhi Huang;Yi-Zhi Huang

  • A theory of tensor products for module categories for a vertex operator algebra, III

    Yi-Zhi Huang;James Lepowsky

  • DIFFERENTIAL EQUATIONS AND INTERTWINING OPERATORS

    Yi Zhi Huang

  • Vertex operator algebras, the Verlinde conjecture, and modular tensor categories

    Yi-Zhi Huang

  • Braided Tensor Categories and Extensions of Vertex Operator Algebras

    Yi-Zhi Huang;Alexander Kirillov;James Lepowsky

  • A theory of tensor products for module categories for a vertex operator algebra, I

    Yi-Zhi Huang;James Lepowsky

  • Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories

    Yi-Zhi Huang;James Lepowsky

  • Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and their Generalized Modules

    Yi-Zhi Huang;Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Cofiniteness conditions, projective covers and the logarithmic tensor product theory

    Yi-Zhi Huang

  • Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I

    Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

    Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Virasoro vertex operator algebras, the (nonmeromorphic) operator product expansion and the tensor product theory

    Yi Zhi Huang

  • Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

    Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

    Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Differential equations, duality and modular invariance

    Yi Zhi Huang

  • Generalized Rationality and a "Jacobi Identity" for Intertwining Operator Algebras

    Yi-Zhi Huang

  • A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA

    Yi-Zhi Huang;James Lepowsky;Lin Zhang

  • Geometric interpretation of vertex operator algebras.

    Yi-Zhi Huang

Frequent Co-Authors

James Lepowsky
James Lepowsky Rutgers, The State University of New Jersey
Haisheng Li
Haisheng Li Rutgers, The State University of New Jersey
Francisco Marcellán
Francisco Marcellán Carlos III University of Madrid
Themistocles M. Rassias
Themistocles M. Rassias National Technical University of Athens
Endre Pap
Endre Pap Singidunum University
Richard S. Varga
Richard S. Varga Kent State University
Brian Parshall
Brian Parshall University of Virginia
Thomas Creutzig
Thomas Creutzig University of Alberta
Igor B. Frenkel
Igor B. Frenkel Yale University
Raytcho Lazarov
Raytcho Lazarov Texas A&M University

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