Darlayne Addabbo

Visiting Assistant Professor


Ph.D in Mathematics, University of Illinois at Urbana-Champaign, 2017
B.S., Mathematics, Rutgers University, 2011


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 τ-functions." Internat. J. Math. 29 (2018), no. 13, 1850090, 29 pp.

  • Addabbo, Darlayne; Bergvelt, Maarten "τ-functions, 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 Q-systems 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.

Email: daddabbo@nd.edu
Phone: 574-631-6588
Fax: 574-631-6579
Office: 279 Hurley Hall