Darlayne Addabbo
Visiting Assistant Professor
Ph.D in Mathematics, University of Illinois at UrbanaChampaign, 2017
B.S., Mathematics, Rutgers University, 2011
Email: daddabbo@nd.edu
Office: 279 Hurley Bldg
Phone: (574) 6316588
Fax: (574) 6316579
For additional information see Darlayne Addabbo’s Personal Page.
Research Interests
Representation theory, integrable systems and vertex operator algebras.
Selected Publications

Addabbo, Darlayne; Barron, Katrina "On Generators and Relations for Higher Level Zhu Algebras for Certain Vertex Operator Algebras and Applications" (in preparation)

Addabbo, Darlayne; Barron, Katrina "Higher Level Zhu Algebras for n>1 for the Heisenberg Vertex Operator Algebra" (in preparation)

Addabbo, Darlayne; Bergvelt, Maarten "Difference hierarchies for nT τfunctions." Internat. J. Math. 29 (2018), no. 13, 1850090, 29 pp.

Addabbo, Darlayne; Bergvelt, Maarten "τfunctions, Birkhoff factorizations and difference equations." SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), Paper No. 023, 42 pp. 17B80

Addabbo, Darlayne; Bervelt, Maarten "Generalizations of Qsystems and orthogonal polynomials from representation theory." Lie algebras, vertex operator algebras, and related topics, 1–13, Contemp. Math., 695, Amer. Math. Soc., Providence, RI, 2017.
Please direct questions and comments to: daddabbo@nd.edu