# Jinwei Yang

#### Notre Dame Instructor

Ph.D., Rutgers University, New Brunswick, 2007 – 2014

M.S., Peking University, Beijing, China, 2004 – 2007.

B.S., Peking University, Beijing, China, 2000 – 2004.

Email: jyang7@nd.edu

Office: 278 Hurley Hall

Phone: (574) 631-6080

Fax: (574) 631-6579

For additional information see Jinwei Yang’s Personal Page.

**Research Interests**

My research has centered on vertex operator algebra theory and its related areas.

My research on strongly graded vertex algebra was motivated by Borcherds' proof of moonshine conjecture and Huang-Lepowsky's logarithmic tensor category theory. I generalize certain important results on vertex operator algebras and their modules to strongly graded vertex algebras and their strongly graded modules.

I also work on twisted modules and logarithmic intertwining operators for vertex operator algebras. In the joint work with Yi-Zhi Huang, we establish an isomorphism between the space of logarithmic intertwining operators among generalized modules and the space of homomorphism between certain modules for higher Zhu's algebra. We aim to constructed generalized twisted modules from higher Zhu's algebra modules.

**Selected Publications**

- J. Lepowsky and J. Yang,
*Twisted generating functions incorporating singular vectors in Verma modules, I,*preprint. - Y.-Z. Huang and J. Yang,
*On functors between module categories for associative algebras and for N graded vertex algebras,*arXiv:1310.4867. - J. Yang,
*Differential equations and logarithmic intertwining operators for strongly graded vertex algebras,*arXiv:1304.0138. - J. Yang,
*Tensor products of strongly graded vertex algebras and their modules,*J. Pure Appl. Alg. 217 (2013), 348–363. - Y.-Z. Huang and J. Yang,
*Logarithmic intertwining operators and associative algebras,*J. Pure Appl. Alg. 216 (2012), 1467–1492.

Please direct questions and comments to: jyang7@nd.edu