Full-time academic study to date:

  • 2014-present: PhD student, DAMTP, University of Cambridge
  • 2013-2014: MMath/Part III student, DAMTP, University of Cambridge  graduated with distinction
  • 2010-2013: BA student, Cambridge Mathematical Tripos  youngest ever Senior Wrangler (highest-scoring student in finals)

Shorter research visits include:

  • Sep-Oct 2017: Çankaya University, Ankara, Turkey
  • Dec 2013: University of Otago, Dunedin, New Zealand


Arran is a member of the Department of Applied Mathematics and Theoretical Physics. His current research interests are in the theory of fractional calculus (differentiation and integration to non-integer orders), including its application to partial differential equations and also the analysis and development of some new models of fractional calculus, and analytic number theory (the use of techniques from analysis to prove results significant for number theory), specifically using asymptotic analysis to analyse the growth behaviour of the Riemann zeta function and its generalisations.

Selected Publications

Other activities

Arran is also the founder and current President of the Clare Hall Mathematical Association, a graduate student society based at Clare Hall college in Cambridge.