Welcome to my homepage
About Me 😼
I am now an assistant professor at Tsinghua University, Yau Mathematical Sciences Center.
My name in Chinese: 归斌/歸斌
Email:
binguimath(at)gmail(dot)com
bingui(at)tsinghua(dot)edu(dot)cn
Research Interests 🧐
I am a mathematician working in areas related to 2d conformal field theories, including vertex operator algebras, conformal nets (more generally, algebraic quantum field thoery, which uses the methods of von Neumann algebras and subfactors), tensor categories, etc.
Courses 😪
Publications and Preprints 😵💫
The following articles are listed in the order they were finished and submitted to arXiv. The arXiv indentifiers (YYMM.NNNNN) indicate the time of submission. Note that the preprints on this website might be more updated than the arXiv versions.

Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, I, Comm. Math. Phys., (2019) 366(1), pp.333396.
arXiv:1711.02840
Preprint Typos 
Unitarity of The Modular Tensor Categories Associated to Unitary Vertex Operator Algebras, II, Comm. Math. Phys., (2019) 372: 893950.
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), 73717424.
arXiv:1809.07003
Preprint 
Categorical Extensions of Conformal Nets, Comm. Math. Phys., 383, 763839 (2021).
arXiv:1812.04470
Preprint (A talk with slides) 
Qsystems and extensions of completely unitary vertex operator algebras, Int. Math. Res. Not. IMRN, Vol 2022, Issue 10, 7550–7614
arXiv:1908.03484
Preprint 
BisognanoWichmann Property for Rigid Categorical Extensions and Nonlocal Extensions of Conformal Nets, Ann. Henri Poincaré, 22, 40174062 (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. 3248.
arXiv:2003.02921
Preprint 
Polynomial Energy Bounds for Type F_4 WZWmodels, Internat. J. Math., Vol. 31, No. 12 (2020).
arXiv:2004.02064
Preprint 
Convergence of Sewing Conformal Blocks, submitted.
arXiv:2011.07450
Preprint 
Sewing and Propagation of Conformal Blocks.
arXiv:2110.04774
Preprint 
Genuszero Permutationtwisted Conformal Blocks for Tensor Product Vertex Operator Algebras: The Tensorfactorizable Case.
arXiv:2111.04662
Preprint Slides 
On a Connes Fusion Approach to Finite Index Extensions of Conformal Nets.
arXiv:2112.15396
Preprint
Notes 🥱
In this monograph we give a complexanalytic approach to the theory of conformal blocks for VOAs. Part of this note has been adapted to form the main body of my article Convergence of Sewing Conformal Blocks. The section on (multi) propagation of conformal blocks has been expanded and explained in more details in the article Sewing and Propagation of Conformal Blocks.
We give a detailed and selfcontained exposition of the topics indicated in the title of this monograph. I origianally planned to give a course “Unbounded Operators in Conformal Field Theories” at Yau Mathematical Sciences Center in 2022 Spring, but have since changed the course topic to VOAs and conformal blocks. This monograph is the outcome of the preparation of that course.
These are the lecture notes for my course Vertex Operator Algebras, Conformal Blocks, and Tensor Categories given at Yau Mathematical Sciences Center in 2022 Spring.