Email: fq15 at math dot rutgers dot edu (for research) / fq15 at scarletmail dot rutgers dot edu (for teaching) / cl.volkov at rutgers dot edu (for friends)

Research Interest: Vertex algebraic structures in Mathematics and Physics, Mathematical Constructions of Quantum Field Theory

For Employers: Curriculum Vitae, Research Statement (abridged), Research Statement, Teaching Statement

PhD thesis: Representation Theory and Cohomology Theory of Meromorphic Open-String Vertex Algebras

Advisor: Yi-Zhi Huang

Please see Huang's research description for motivation of studying MOSVAs. Also please see Huang's talk in Simons Center. Please see his papers for the definition of MOSVA and for the construction of MOVSA from Riemannian manifolds.

Please see the Abridged Research Statement for a rough idea about what we managed to achieve. Please see the Research Statement for mathematically precise statements.

The following papers will be drawn from this my dissertation:

- Fei Qi, Representation theory of meromorphic open-string vertex algebras.
- Fei Qi, On the cohomology of meromorphic open-string vertex algebras.
- Fei Qi, Meromorphic open-string vertex algebras on the sphere.
- Yi-Zhi Huang, Fei Qi, The first cohomology, derivations and the reductivity of a vertex algebra

Other works of mathematics:

- Bud Coulson, Shashank Kanade, James Lepowsky, Robert McRae, Fei Qi, Matthew C. Russell, Christopher Sadowski, A motivated proof of the Göllnitz-Gordon-Andrews identities, Ramanujan Journal, September 2015.

- Classification to 2-dimensional Hom-Novikov algebras
- Solutions to associative Yang-Baxter equations up to dimension 5
- Construction of infinite dimensional Lie bialgebras and pre-Lie bialgebras

Current Teaching: My dissertation earned me a semester of fellowship. Too bad for people who want to be my students.

Past Courses

In case you are used to my old webpage, here is the link. But preferably you can alert me when you find any of the above links fail.

Fei Qi

Room 624, Hill Center

Department of Mathematics

Rutgers University

110 Frelinghuysen Road

Piscataway, NJ USA 08854