Current Affiliation: Visiting Assistant Professor, University of Denver.

Email: firstname dot lastname at du dot edu, firstname dot lastname dot math dot phys at gmail

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

I strongly support the Library Genesis project and the Sci-Hub project. I do not publish with Elsevier.

Work in progress

• Cup products and Gerstenhaber brackets for a meromorphic open-string vertex algebra.
• (with Ling Chen) Intertwining operator algebras associated to affine Lie algebras.
• (with Yi-Zhi Huang) Second cohomology and the deformations of meromorphic open-string vertex algebras

Publications:

• Vladimir Kovalchuk, Fei Qi, First-order deformations of freely generated vertex algebras, arXif:2408.16309.
• Fei Qi, Fermionic construction of the $\frac{\mathbb{Z}}{2}$ -graded meromorphic open-string vertex algebra and its ${\mathbb{Z}}_2$ -twisted module, II, arXiv:2309.05673, Letters in Mathematical Physics, 114 (2024), Article 67, 1--50.
• Francesco Fiordalisi, Fei Qi, Fermionic construction of the $\frac{\mathbb{Z}}{2}$ -graded meromorphic open-string vertex algebra and its ${\mathbb{Z}}_2$ -twisted module, I, arXiv:2309.04620, Letters in Mathematical Physics, 114 (2024), Article 59, 1--42
• Fei Qi, On the extensions of the left modules for a meromorphic open-string vertex algebra I, Communications in Mathematical Physics, 405 (2024), Article 65, 1--51.
• Fei Qi, First cohomologies of affine, Virasoro and lattice vertex operator algebras, Letters in Mathematical Physics, 112 (2022), Article 56, 1--52.
• Fei Qi, Covariant derivatives of eigenfunctions along parallel tensors over space forms, Journal of Noncommutative Geometry, 16 (2022), no. 2, 717--759.
• Fei Qi, Meromorphic open-string vertex algebras and modules over two-dimensional orientable space forms, Letters in Mathematical Physics, 111 (2021), Article 27, 1--54.
• Yi-Zhi Huang, Fei Qi, The first cohomology, derivations and the reductivity of a (meromorphic open-string) vertex algebra, Transactions of American Mathematical Society, 373 (2020), 7817--7868.
• Fei Qi, On the cohomology of meromorphic open-string vertex algebras, New York Journal of Mathematics, Volume 25 (2019), 467--517.
• Fei Qi, On modules for meromorphic open-string vertex algebras, Journal of Mathematical Physics, 60, 031701 (2019), 1--30.
• Fei Qi, Representation theory and cohomology theory of meromorphic open-string vertex algebras, PhD Dissertation, Rutgers University, May 2018.
• 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, Volume 42 (2017), 97--129.

• 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

Past Courses

Fei Qi
Room 216, CM Knudson Hall
Department of Mathematics
University of Denver
2390 South York Street
Denver, CO 80210, USA