Dr Jessica Jay
Lecturer in Security and Protection ScienceResearch Interests
My main area of research is Probability, in particular Interacting Particle Systems (IPS's). These are certain continuous time Markov processes on discrete state spaces with many applications, for example traffic/data flow, voting/opinion dynamics and also tumour growth.
Currently, I am interested in exploring links between IPS's and other areas of Pure Mathematics such as Combinatorics and Algebra. For example, comparing stationary measures for certain equivalent particle systems often leads to purely probabilistic proofs of both classic and new q-series identitites of combinatorial significiance (e.g. the Jacobi triple product identitiy).
I am also interested in applications of IPS's in the real world. If this is something you have ideas about then please feel free to get in touch!
Career Details
I was awarded my PhD in Mathematics from the Univeristy of Bristol in February 2023, under the supervision of Prof. Márton Balázs. From October 2022 until August 2024, I was a Heilbronn Research Fellow at the University of Bristol.
Web Links
Current Teaching
- MATH 332/432: Stochastic Processes