I am currently working as a lecturer/assistant professor in the School of Mathematics and Statistics at University College Dublin. Prior to that, I was a research fellow in the Mathematics Department at the National University of Singapore (advised by Rongfeng Sun) having previously been an early career fellow with the Institute of Advanced Study at the University of Warwick.
I finished my Ph.D supervised by David Croydon as part of the MASDOC program at the University of Warwick in 2017 and, prior to that, graduated from the University of Warwick in 2013 with a first class honours degree in MMORSE.
My main academic interests revolve around probability theory; in particular, random walks in random environments and disorder relevance in statistical mechanics models. Much of my work to date has been on biased random walks on Galton-Watson trees conditioned to survive however I have also researched more general randomly trapped random walks. More recently, I have been working on the continuum scaling limit of the random field Ising model. I am also interested in stochastic particle systems having done my masters dissertation in coupling results for interacting particle systems with Jon Warren.
I am originally from a small village on the edge of Cambridgeshire called Fowlmere however I currently reside in Dublin. I am a keen sportsman having participated in tennis, rugby union, football and dodgeball competitions. I also enjoy bouldering, cycling and reading; in particular nineteenth century French and Russian literature.
I was an avid member of the Warwick University Warriors dodgeball team from 2009-2017 and held the roles of club coach, men's captain and vice captain. Many tournaments are recorded and videos uploaded to the Warwick Dodge YouTube channel. Between 2013 and 2017 I played internationally with the Scotland Highlanders first team. We entered nine tournaments in this time winning the 2016 Six Nations and securing medal places in seven others. We also came fifth in the first ever world cup.
Below is a list of articles submitted for publication, more information can be found in my publications page.
Differentiability of the speed of biased random walks on Galton-Watson trees - with Yuki Tokushige, ALEA Lat. Am. J. Probab. Math. Stat. (2020)
Non-Gaussian fluctuations of randomly trapped random walks - arXiv preprint. (2019)
Central limit theorems for biased randomly trapped random walks on Z - Stochastic Process. Appl. (2019)
A quenched central limit theorem for biased random walks on supercritical Galton-Watson trees - J. Appl. Probab. (2018)
Escape regimes of biased random walks on Galton-Watson trees - Probab. Theory Relat. Fields (2018)