个人简介
教育背景
2009-2013 学士 上海交通大学
2013-2018 博士 美国范德堡大学
工作经历
2021 至今 清华大学丘成桐数学科学中心
2018-2021 博士后 美国罗格斯大学
研究领域
我关心二维共形场论的数学理论,包括顶点算子代数,共形网(更一般地,代数量子场论,主要运用Von Neumann代数和子因子的方法),张量范畴
近期论文
查看导师新发文章
(温馨提示:请注意重名现象,建议点开原文通过作者单位确认)
Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, I, Comm. Math. Phys., (2019) 366(1), pp.333-396. arXiv:1711.02840 Preprint Typos
Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, II, Comm. Math. Phys., (2019) 372: 893-950. arXiv:1712.04931 Preprint
Energy Bounds Condition for Intertwining Operators of Type B, C, and G_2 unitary affine vertex operator algebras, Trans. Amer. Math. Soc., 372 (2019), 7371-7424. arXiv:1809.07003 Preprint
Categorical Extensions of Conformal Nets, Comm. Math. Phys., 383, 763-839 (2021). arXiv:1812.04470 Preprint (A talk with slides)
Q-systems and extensions of completely unitary vertex operator algebras, Int. Math. Res. Not. IMRN, Vol 2022, Issue 10, 7550–7614 arXiv:1908.03484 Preprint
Bisognano-Wichmann Property for Rigid Categorical Extensions and Non-local Extensions of Conformal Nets, Ann. Henri Poincaré, 22, 4017-4062 (2021). arXiv:1912.10682 Preprint
Unbounded Field Operators in Categorical Extensions of Conformal Nets, submitted. arXiv:2001.03095 Preprint
Regular Vertex Operator Subalgebras and Compressions of Intertwining Operators, J. Algebra, (2020) 564. 32-48. arXiv:2003.02921 Preprint
Polynomial Energy Bounds for Type F_4 WZW-models, Internat. J. Math., Vol. 31, No. 12 (2020). arXiv:2004.02064 Preprint
Convergence of Sewing Conformal Blocks, to appear in Communications in Contemporary Mathematics. arXiv:2011.07450 Preprint
Sewing and Propagation of Conformal Blocks, submitted. arXiv:2110.04774 Preprint
Genus-zero Permutation-twisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensor-factorizable Case. arXiv:2111.04662 Preprint Slides
On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets. arXiv:2112.15396 Preprint
(Joint with Hao Zhang) Analytic Conformal Blocks of C2-cofinite Vertex Operator Algebras I: Propagation and Dual Fusion Products, submitted. arXiv:2305.10180 Preprint Slides
Geometric Positivity of the Fusion Products of Unitary Vertex Operator Algebra Modules, submitted. arXiv:2306.11856 Preprint Slides