My current research interests are in topological quantum computation, G-crossed braided fusion categories, condensed matter theory, and quantum hardware design. When I was an undergraduate I studied Hopf algebras in noncommutative geometry and perturbative quantum field theory.
- Local unitary representations of the braid group and their application to quantum computing. C. Delaney, Eric C. Rowell, Zhenghan Wang. arXiv:1604.06429\li>
- Dyson-Schwinger equations and the theory of computation. C. Delaney, Matilde Marcolli."Feynman Amplitudes, Periods and Motives", Clay Math Institute and AMS.arXiv:1302.5040
- Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees. Susama Agarwala, C. Delaney. Journal of Mathematical Physics, Volume 56, Issue 4, April 2015. arXiv:1302.4004