Colleen Delaney
NOTE: E-mail addresses end with @purdue.edu
Education
- PhD in Mathematics, UC Santa Barbara 2019
- MS in Mathematics, UC Santa Barbara 2016
- BS in Physics, Caltech 2013
Professional Experience
- Simons Collaboration Postdoctoral Research Fellow, UC Berkeley, 2022-2024
- NSF Postdoctoral Research Fellow, Indiana University, 2019-2022
- Microsoft Station Q Graduate Research Fellow, 2018-2019
Research Interests
Topological order, fusion categories, topological quantum field theory, quantum computation, quantum topology, categorical symmetries and anomalies, algebraic combinatorics of QFT
Teaching
Math 366 (Ordinary Differential Equations), Fall 2024
Selected Research Articles
- An algorithm for Tambara-Yamagami quantum invariants of 3-manifolds, parametrized by the first Betti number. with Clément Maria and Eric Samperton. arXiv:2311.08514
- Zesting produces modular isotopes and explains their topological invariants. with Sung Kim and Julia Plavnik. arXiv:2107.11374
- Braided zesting and its applications. Colleen Delaney, César Galindo, Julia Plavnik, Eric C. Rowell, and Qing Zhang. Communications in Mathematical Physics. Vol. 386. (2021)
- On invariants of modular categories beyond modular data. Parsa Bonderson, Colleen Delaney, César Galindo, Eric C. Rowell, Alan Tran, Zhenghan Wang. Journal of Pure and Applied Algebra. Vol. 223. (2019).
Last Updated: Mar 7, 2025 3:06 PM