Jiao, Xiangyu ( 焦翔宇 )
| Title： | Associate Professor |
|---|---|
| Department： | Pure Mathematics |
| Office： | Room 222, Math Building |
| Telephone： | 54342646-222 |
| Email： | xyjiao@math.ecnu.edu.cn |
| Homepage： | http://math.ecnu.edu.cn/~xyjiao |
| Homepage2： | https://faculty.ecnu.edu.cn/_s42/jxy2/main.psp |
Research Interest
Vertex Operator Algebras
Resume
Resume:
2002.9 - 2006.7 山东大学数学系, 本科
2006.9 - 2010.1 中科院数学与系统科学研究院数学所, 硕士研究生
2008.9 - 2013.6 加州大学圣克鲁斯分校, 博士研究生
Selected Publications
Papers:
[1] Quantum Dimensions and Quantum Galois Theory
[2] Mirror Extensions of Vertex Operator Algebras
[3] Fusion Rules of the Vertex Operator Alegbras V_{L_2}^{A_4}
Books:
[1] Quantum Dimensions and Quantum Galois Theory
[2] Mirror Extensions of Vertex Operator Algebras
[3] Fusion Rules of the Vertex Operator Alegbras V_{L_2}^{A_4}
Books:
Recent Publications(From MathSciNet)
MR4498238
Reviewed
Jiao, Xiangyu; Nagatomo, Kiyokazu; Sakai, Yuichi; Shimakura, Hiroki Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16.
J. Algebra 614 (2023), 330–361. (Reviewer: Xuanzhong Dai) 17B69
Publication Year 2023
Indexed 2022-12-30
Review Published2023-08-09
MR4466716
Reviewed
Jiao, Xiangyu; Zheng, Wen Vertex operator algebras generated by two Ising vectors.
J. Algebra 610 (2022), 546–570. (Reviewer: Xuanzhong Dai) 17B69
Publication Year 2022
Indexed 2022-10-20
Review Published2023-02-17
MR3962757
Reviewed
Dong, Chongying; Jiao, Xiangyu; Yu, Nina $6A$-algebra and its representations.
J. Algebra 533 (2019), 174–210. (Reviewer: Chengkang Xu) 17B69
Publication Year 2019
Indexed 2019-08-13
Review Published2019-11-25
MR3880124
Reviewed
Jiao, Xiangyu; Li, Haisheng; Mu, Qiang Modular Virasoro vertex algebras and affine vertex algebras.
J. Algebra 519 (2019), 273–311. (Reviewer: Xiaoqing Yue) 17B69
Publication Year 2019
Indexed 2019-01-23
Review Published2019-05-06
MR3812115
Reviewed
Ai, Chunrui; Dong, Chongying; Jiao, Xiangyu; Ren, Li The irreducible modules and fusion rules for the parafermion vertex operator algebras.
Trans. Amer. Math. Soc. 370 (2018), no. 8, 5963–5981. (Reviewer: William J. Cook) 17B69
Publication Year 2018
Indexed 2018-08-16
Review Published2019-02-09
MR3454052
Reviewed
Jiang, QiFen; Jiao, XiangYu Bimodule and twisted representation of vertex operator algebras.
Sci. China Math. 59 (2016), no. 2, 397–410. 17B69
Publication Year 2016
Indexed 2016-04-21
Review Published2016-05-10
MR3283726
Reviewed
Dong, Chongying; Jiang, Cuipo; Jiang, Qifen; Jiao, Xiangyu; Yu, Nina Fusion rules for the vertex operator algebra $V_{L_2}^{A_4}$.
J. Algebra 423 (2015), 476–505. 17B69
Publication Year 2015
Indexed 2015-03-06
Review Published2015-03-18
MR3207004
Reviewed
Dong, Chongying; Jiao, Xiangyu; Xu, Feng Mirror extensions of vertex operator algebras.
Comm. Math. Phys. 329 (2014), no. 1, 263–294. (Reviewer: Ozren Perše) 17B69 (81T30 81T40)
Publication Year 2014
Indexed 2014-07-10
Review Published2015-03-03
MR3187357
Thesis
Jiao, Xiangyu Quantum dimensions and quantum Galois theory.
Thesis (Ph.D.)–University of California, Santa Cruz.
2013. 67 pp. ISBN: 978-1303-27842-6, ProQuest LLC
Publication Year 2013
Indexed 2014-04-01
MR3105758
Reviewed
Dong, Chongying; Jiao, Xiangyu; Xu, Feng Quantum dimensions and quantum Galois theory.
Trans. Amer. Math. Soc. 365 (2013), no. 12, 6441–6469. (Reviewer: Hai Sheng Li) 17B69 (17B68)
Publication Year 2013
Indexed 2013-12-19
Review Published2014-05-16
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