Welcome to my homepage
About me
I’m now a Hill assistant professor (postdoc) at Department of Mathematics, Rutgers UniversityNew Brunswick. I received my Ph.D degree at Vanderbilt University, advised by Vaughan Jones.
My name in Chinese: 归斌/歸斌
Email: binguimath@gmail.com, bin.gui@rutgers.edu
Research Interests
I’m interested in the mathematical areas that are related to twodimensional Conformal Field Theory, including: Algebraic Quantum (Conformal) Field Theory, Vertex Operator Algebras, Subfactors and Operator Algebras, Tensor Categories.
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, to appear in Comm. Math. Phys..
arXiv:1812.04470
Preprint 
Qsystems and extensions of completely unitary vertex operator algebras, to appear in Int. Math. Res. Not. IMRN.
arXiv:1908.03484
Preprint 
BisognanoWichmann property for rigid categorical extensions and nonlocal extensions of conformal nets, submitted.
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, to appear in Internat. J. Math..
arXiv:2004.02064
Preprint 
Convergence of sewing conformal blocks, submitted.
arXiv: 2011.07450
Preprint
Notes
In this monograph we give a complexanalytic approach to the theory of conformal blocks for VOAs. Part of this note is adapted and form the main body of my article Convergence of sewing conformal blocks.