Dr. Darlayne Addabbo, Assistant Professor of Mathematics
The State University of New York Polytechnic Institute
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Recent and Upcoming Talks and Conference Participation
Recent and Upcoming Talks and Conference Participation
Lie Group/Quantum Mathematics Seminar, Rutgers University, date and title: TBD
Quasy-Con III, Iowa State University, November 8-9, 2025, title: TBD
Algebra and Number Theory Seminar, the University of North Carolina, Wilmington, October 24, 2025, title: TBD
15th Southeastern Lie Theory Workshop, College of Charleston, title: "Modularity of Vertex Operator Algebra Correlators with Zero Modes"
Joint Mathematics Meeting, Seattle, Washington, January 8, 2025, Special Session on "New Trends in Lie Theory and Mathematical Physics", title: "Generalized Correlation Functions for Vertex Operator Algebras and Their Modular Transformation Properties"
Quantum Groups and Representation Theory (in honor of Prof. Kailash Misra's 70th birthday), title: "Vertex Operator Algebra Correlators with Zero Modes and Modularity"
14th Southeastern Lie Theory Workshop, University of Virigina (March 1-3, 2024), title: "Vertex operators for imaginary gl2-subalgebras in the Monster Lie algebra"
Recent Conference/Workshop Organization
Recent Conference/Workshop Organization
Women in Noncommutative Algebra and Representation Theory Workshop (WINART4) 2025 at the Banff International Research Station
Special Session on "New Developments in Infinite Dimensional Lie algebras, Vertex Operator Algebras and the Monster" at the Joint Meeting American Mathematical Society-Unione Matematica Italiana July 2024
Publications
Publications
Addabbo, Darlayne; Keller, Christoph "Modularity of Vertex Operator Algebra Correlators with Zero Modes", submitted, arxiv:2411.08008
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, Journal of Pure and Applied Algebra, Volume 228, Issue 7, July 2024, 107651
Addabbo, Darlayne; Barron, Katrina "On generators and relations for higher level Zhu algebras and applications", J. Algebra 623 (2023), 496-540, https://doi.org/10.1016/j.jalgebra.2023.02.023
Addabbo, Darlayne; Barron, Katrina "The level two Zhu algebra for the Heisenberg vertex operator algebra", Communications in Algebra (2023), https://doi.org/10.1080/00927872.2023.2184638
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.
Current/Recent Grants
AMS-Simons Grant for Primarily Undergraduate Faculty
Association for Women in Mathematics-NSF Travel Grant (2023 and 2018)
AMS-Simons Travel Grant (2018-2020)
Leadership
Leadership
Co-leader (since March 2022): Women in Noncomutative Algebra and Representation Theory Network (WINART network)
If you would like to be added to the WINART network, please send an email to WomenNCAlgRepThy@gmail.com.
Founder and Organizer: SUNY Poly Mathematics Seminar
Conference and Workshop Organization
Women in Noncommutative Algebra and Representation Theory Workshop (Banff International Research Station for Mathematical Innovation and Discovery), March 2025
Special Session on "New Developments in infinite-dimensional Lie algebras, vertex operator algebras and the Monster" at the Joint American Mathematical Society-Unione Matematica Italiana meeting in Palermo
*I am also serving as co-editor for the upcoming conference proceedings to be published for a special edition of Contemporary Mathematics by the American Mathematcal Society
Current and Recent Teaching
Fall 2025: MAT 151 (Calculus 1) and MAT 480 (Advanced Linear Algebra)
Spring 2025: MAT 152 (Calculus 2) and MAT 491 (Independent Study in Mathematics: Representation Theory of Finite Groups)
Fall 2024: MAT 381 (Modern Algebra) and MAT 430 (Number Theory and Its Applications)
If you are one of my students, please see our Brightspace page for announcements and course content.
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