I'm currently an Assistant Professor at Durham University.
I obtained my Ph.D. in 2014 under the supervision of Alex Gamburd at U.C. Santa Cruz, and had postdoctoral positions at I.A.S. Princeton and Yale University.
I'm interested in problems in number theory, dynamics and geometry.
I am from Northern Ireland.
Papers and preprints
Word measures on unitary groups. (With Doron Puder).
The results of this preprint have now been significantly improved in the paper 'Unitary Group Integrals, Surfaces, and Mapping Class Groups'. On the other hand, this paper contains useful extra background on the more recent results.
* Undergraduate coauthors.
Complex Analysis Epiphany 2018.
Group expansion and number theory Spring 2017.
Number Theory Spring 2017.
Linear Algebra with Applications Fall 2016.
Introduction to Functional Analysis Spring 2016.
Spectral Geometry Spring 2016.
Some Toral eigenfunctions