Darlayne Addabbo


Darlayne Addabbo

Visiting Assistant Professor

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

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

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 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.

Please direct questions and comments to: daddabbo@nd.edu