Sophie Raynor

Modular operads and the mathematics of complex networks

I am a post-doctoral research associate at the Centre of Australian Category Theory (CoACT), Macquarie University. I work in the general area of operad theory, with a focus on modular operads and their foundations. My aim is to develop modular operadic techniques to improve our understanding of complex networks.

I believe that (pure) mathematics can make a significant contribution in the search for enduring solutions to some of the world’s most pressing problems. As a working mathematician, it is my responsibility to critically examine my assumptions, practices and institutions, and work to dismantle barriers to participation in mathematical enquiry.

News

• Indigenising University Mathematics conference at the University of Newcastle 20-21 September 2021. Here are my reflections. (With corrections to the version included in the MQ Maths and Stats October newsletter.)
• My long paper on Graphical combinatorics and a distributive law for modular operads has been published in Advances in Mathematics. It can be accessed without subscription for a limited time here.
• The preprint of my paper on Brauer diagrams, modular operads and a nerve theorem for circuit algebras is available on the arXiv.