PRIYANGA GANESAN

S.E.W Visiting Assistant Professor

Hello! I am a S.E.W Visiting Assistant Professor in the Department of Mathematics at the University of California San Diego (UCSD). Prior to this, I was a UC President's Postdoctoral Fellow at UCSD and a Women in Research (WiRe) Fellow at the University of Munster in Germany. My research develops and applies mathematical techniques from functional analysis and operator algebras for applications in quantum information theory, with recent focus on quantum graphs and nonlocal games. To get a glimpse into my life as a mathematician and as a woman researcher, please see this interview article with the WiRe program.

Office:	2210, Applied Physics & Mathematics building, UCSD.
Email:	pganesan[AT]ucsd.edu
CV:	Curriculum Vitae [pdf]
Office hours:	By appointment.

Ph.D in Mathematics, May 2022
Texas A&M University, College Station, USA.
M.Sc in Mathematics, May 2017
National Institute of Science Education and Research, Bhubaneswar, India.

Functional analysis, operator algebras and quantum information theory

Quantum majorization on semifinite von Neumann algebras, (with Li Gao, Satish Pandey and Sarah Plosker).
Journal of Functional Analysis, 279 (2020). [arXiv:1909.10038]
The quantum-to-classical graph homomorphism game (with Michael Brannan and Samuel Harris)
Journal of Mathematical Physics, Vol. 63, Issue 11 (2022). [arXiv:2009.07229]
Spectral bounds for the quantum chromatic number of quantum graphs
Linear Algebra and its Applications, Vol. 674, Pages 351-376 (2023). [arXiv:2112.01726]
The Operator Algebras Mentor Network: Impact of Community-Based Mentoring (with Anna Duwenig, Kari Eifler, Lara Ismert, Viviana Meschitti, Sarah Plosker and Karen Strung)
Journal of Humanistic Mathematics, Vol. 15, Issue 1, Pages 334-354 (2025). [online access]
Connectivity for quantum graphs via quantum adjacency operators (with Kristin Courtney and Mateusz Wasilewski)
International Mathematics Research Notices, No. 9, rnag076 (2026). [arXiv:2505.22519]
Relating insplittings of 2-graphs and of textile systems (with Samantha Brooker, Elizabeth Gillaspy, Ying-Fen Lin, David Pask and Julia Plavnik)
Submitted. [arXiv:2506.21708]

All course related information is available on the learning management system CANVAS.

Summer 2026: Math 18: Linear Algebra and Math 180A: Introduction to Probability
Winter 2026: Math 180A: Introduction to Probability (Sections A00 and B00)
Fall 2025: Math 18: Linear Algebra (Sections E00 and F00)
Spring 2025: Math 109: Mathematical reasoning (Sections A00 and B00)
Winter 2025: Math 18: Linear Algebra (Sections B00 and C00)

Organizer (2025-2026, 2022-2024), Weekly Functional Analysis Seminar in the Department of Mathematics.
Vice-chair of Wellness and Sustainability (2023-2024), campus-wide UCSD Postdoctoral Association
Colloquium and Events Coordinator (2025-2026, 2022-2024), Association for Women in Mathematics (AWM), UCSD chapter

Women in Operator Algebras Workshop (IV), International Center for Mathematical Sciences, UK, June 2027.
Quantum Graphs Conference (II), Saarland University, Saarbrucken, Germany, Feb 2027.
West Coast Operator Algebra Symposium, Pamona College, California, Dec 2025.
BIRS Workshop on Operator Systems and their Applications, Banff International Research Station, Canada, Feb 2025.
Joint Math Meetings 2025 - AMS special session on Advances in Operator Algebras , Seattle, Jan 2025.
Joint meeting of the NZMS, AustMS and AMS: Special Session on Functional Analysis and Operator Algebras, Auckland, New Zealand, Dec 2024.
Fall Eastern AMS Sectional Meeting: Special session on Recent Developments in Operator Algebras and Quantum Information Theory,
SUNY Buffalo, September 9-10, 2023.
Joint Mathematics Meeting: AMS special session on Advances in Operator Algebras,
Boston, January 4-7, 2023.
Texas Women in Math Symposium, Texas A&M Universty, College Station, Feb 1-2, 2020.