Research output per year
Research output per year
Personal profile
Research 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
Related documents
Education/Academic qualification
PhD, Blocking Measures for Interacting Particle Systems, University of Bristol
Award Date: 16/02/2023
External positions
Heilbronn Research Fellow, University of Bristol
2/10/2022 → 30/08/2024
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
-
Science on tap across Lancaster and Morecambe with Pint of Science
Morrison, N. (Curator), Greyling, E., Hardy, J. (Speaker), Rennie, A. (Speaker), Lambert, C. (Speaker), Abram, T. (Speaker), Jay, J. (Speaker), Moss, H. (Speaker), Muñiz-Diez, C. (Speaker), Piazza, J. (Speaker), Karkarey, R. (Speaker) & Appleby, J. (Speaker), 27/05/2025Research output: Exhibits, objects and web-based outputs › Blog
-
Interacting particle systems and Jacobi style identities
Balázs, M., Fretwell, D. & Jay, J., 30/09/2022, In: Research in the Mathematical Sciences. 9, 3, 48.Research output: Contribution to Journal/Magazine › Journal article › peer-review
Open Access
Activities
-
CyberFirst Days at Lancaster University
Jay, J. (Speaker) & Fretwell, D. (Speaker)
3/10/2025Activity: Other activity types › Types of Public engagement and outreach - Festival/Exhibition
-
LMS/IMA Joint Meeting 2025
Jay, J. (Organiser), Murdoch, T. (Organiser) & Shiu, D. (Organiser)
25/09/2025Activity: Participating in or organising an event types › Participation in conference - Academic
-
CyberFirst Days at Lancaster University
Jay, J. (Speaker) & Fretwell, D. (Speaker)
10/09/2025Activity: Other activity types › Types of Public engagement and outreach - Festival/Exhibition
-
Insight Summer School at Lancaster University - "My life in Mathematics" talk
Jay, J. (Speaker)
29/07/2025Activity: Talk or presentation types › Invited talk
-
The Magic of Maths
Morrison, N. (Organiser), Haywood, K. (Organiser), Jay, J. (Speaker), Moss, H. (Speaker) & Fretwell, D. (Speaker)
24/07/2025Activity: Talk or presentation types › Public Lecture/ Debate/Seminar
Press/Media
-
Exploring the magic of maths in Kirkby Lonsdale
Morrison, N., Moss, H., Fretwell, D. & Jay, J.
4/08/25
1 Media contribution
Press/Media: Newspaper Article
-
Science on tap across Lancaster and Morecambe with Pint of Science
Haywood, K., Morrison, N., Lambert, C., Moss, H., Fretwell, D., Hardy, J., Muniz-Diez, C., Piazza, J., Karkarey, R., Abram, T., Rennie, A. & Jay, J.
27/05/25
1 Media contribution
Press/Media: Newspaper Article