I am currently working as 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 statistical mechanics. Most 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. 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 Singapore. I am a keen sportsman having participated in tennis, rugby union, football and dodgeball competitions. In the latter of which, I have competed internationally for the Scotland Highlanders and won many tournaments with the Warwick Warriors. I enjoy reading classic novels; in particular nineteenth century French and Russian literature. I have also been a representative for both the postgraduate mathematics SGSLC and secretary of the MASDOC SSLC at the University of Warwick.
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. Some notable matches are the final of the Yorkshire open in 2011 against Jammy Dodgers where I made my first double catch and won my first gold medal and the match against Reepham Raiders in meet 4 of DPL4 where I made double catches in consecutive games to salvage an important win. Since 2013 I have been playing internationally with the Scotland Highlanders first team. We have entered nine tournaments in this time winning 2016 Six Nations, coming third in 2014 Six Nations and second in 2013 Six Nations, 2015 Six Nations, 2013 Euros, 2014 Euros, 2015 Euros and 2016 Euros. We also came fifth in the first ever world cup in Manchester.
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, arXiv preprint. (2019)
- 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)