Welcome to my homepage
I’m now a Hill assistant professor (postdoc) at Department of Mathematics, Rutgers University-New Brunswick. I received my Ph.D degree at Vanderbilt University, advised by Vaughan Jones.
My name in Chinese: 归斌/歸斌
Email: firstname.lastname@example.org, email@example.com
I’m interested in the mathematical areas that are related to two-dimensional 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, II, Comm. Math. Phys., (2019) 372: 893-950.
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.
Categorical extensions of conformal nets, to appear in Comm. Math. Phys..
Q-systems and extensions of completely unitary vertex operator algebras, to appear in Int. Math. Res. Not. IMRN.
Bisognano-Wichmann property for rigid categorical extensions and non-local extensions of conformal nets, submitted.
Unbounded field operators in categorical extensions of conformal nets, submitted.
Regular vertex operator subalgebras and compressions of intertwining operators, J. Algebra, (2020) 564. 32-48.
Polynomial energy bounds for type F_4 WZW-models, to appear in Internat. J. Math..
Convergence of sewing conformal blocks, submitted.
In this monograph we give a complex-analytic 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.