## Mathematics and Computer Science

### Christopher Sadowski

#### Assistant Professor

Christopher Sadowski earned a BS and PhD in Mathematics at Rutgers University - New Brunswick, where he also worked as a teaching assistant and lecturer. He joined the faculty of Ursinus College in 2014 as a visiting assistant professor.

Christopher’s research interests are primarily in vertex operator algebra theory and its applications in the study of affine Lie algebras. He is also interested in the theory of partitions, and how partition identities can be interpreted in the study of vertex-algebraic structures.

#### Department

Mathematics and Computer Science

#### Degrees

- B.S., Rutgers University - New Brunswick
- Ph.D., Rutgers University - New Brunswick

#### Teaching

- Calculus 1
- Multivariable Calculus
- Linear Algebra
- Differential Equations and Modeling
- Abstract Algebra 1 & 2
- Number Theory
- Numerical Analysis

#### Website

http://sites.google.com/site/csadowski/home

#### Research Interests

- Vertex operator algebras
- Kac-Moody Lie algebras
- Relations to q-series, partitions, combinatorics, and number theory

#### Recent Work

- Presentations of principal subspaces of higher level standard $A_2^{(2)}$-modules,
*Algebras and Representation Theory*, to appear. - Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2l-1}, D_l^{(2)}, E_6^{(2)}$, and $D_4^{(3)}$, joint work with M. Butorac,
*New York J. Math.*25 (2019) 71-106. - Vertex-algebraic structure of principal subspaces of basic for twisted affine Kac-Moody Lie algebras of type $A_{2n+1}^{(2)}, D_n^{(2)}, E_6^{(2)}, joint work with M. Penn,
*Journal of Algebra*, Vol. 496 (2018), 242-291. - Vertex-algebraic structure of principal subspaces of basic $D_4^{(3)}$-modules, joint work with M. Penn,
*The Ramanujan Journal*, 43:4 (2017), 571-617. - A motivated proof of the Gollnitz-Gordon-Andrews identities, joint work with B. Coulson, S. Kanade, J. Lepowsky, R. McRae, F. Qi, and M.C. Russell,
*The Ramanujan Journal*, Volume 42, No. 1 (2017) 97-129. - Principal subspaces of standard sl(n)^-modules,
*International Journal of Mathematics*, Vol. 26, No. 08, 1550063 (2015). - Presentations of the principal subspaces of the higher level sl(3)^-modules,
*Journal of Pure and Applied Algebra*, 219 (2015) 2300-2345. - On a symmetry of the category of integrable modules, joint work with William J. Cook,
*New York J. Math*. 15 (2009) 133–160.