Darlayne Addabbo

Recent & Upcoming Talks and Conferences

"Lie Theory and its Applications in Physics", Bulgaria (June 19-25, 2023), title: TBA

AMS Central Sectional, special session on "Representation Theory, Geometry, and Mathematical Physics" at the University of Cincinatti (April 15-16, 2023), title: TBA

Rutgers University Lie Group/Quantum Mathematics Seminar (November 11, 2022), online, title: "Vertex operators for Imaginary gl2- subalgebras in the Monster Lie Algebra"

"Quantum Symmetries: Tensor categories, topological quantum field theories, vertex algebras", Centre de Recherches Mathematiques (October 2022) title: Higher level Zhu algebras

AMS Spring Western sectional Meeting, special session on "Some modern developments in the theory of vertex algebras" (May 14-15, 2022) online, title: Higher level Zhu algebras for vertex operator algebras"

Women in Noncommutative Algebra and Representation Theory (WINART) workshop, Banff International Research Station

Institute for Advanced Study, Women and Mathematics, online (May 2021), title: Higher level Zhu algebras

Joint Mathematics Meeting Special Session on "Quantum Algebra and Geometry", online (January 2021), title: Higher level Zhu Algebras for Vertex Operator Algebras

Publications

Addabbo, Darlayne; Carbone, Lisa; Jurisich, Elizabeth; Khaqan, Maryam; Murray, Scott H. "Vertex operators for Imaginary gl2- subalgebras in the Monster Lie Algebra", arXiv:2210.16178

Addabbo, Darlayne; Barron, Katrina "On generators and relations for higher level Zhu algebras and applications", arXiv:2110.07671 (submitted)

Addabbo, Darlayne; Barron, Katrina "The level two Zhu algebra for the Heisenberg vertex operator algebra", arXiv:2206.12982 (submitted)

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.