I'm a fourth year PhD student at the University of Cambridge. My supervisor is Julius Ross. I was previously an undergraduate of Trinity College, Dublin. I'm a member of its sister college in Cambridge, St. John's.

From February to August 2016 I will be a Fondation Wiener - Anspach scholar at the Université libre de Bruxelles, visiting Joel Fine's group.

Starting in October 2016, I will be a Research Fellow at Gonville & Caius College, Cambridge.

My first name is pronounced "Rui" (it's Irish).

I am a complex geometer. I'm interested in the existence of certain canonical Kähler metrics (e.g. Kähler-Einstein and constant scalar curvature) and notions of algebro-geometric stability (e.g. K-stability). The link between the two is the so-called "Yau-Tian-Donaldson" conjecture, which motivates my work.

My CV. My email address is rd430(at)cam.ac.uk.

Geometry Tea 2013-2014, 2014-2015 and 2015-2016.

Papers and preprints:

- K-stability for Kähler manifolds
*(joint with Julius Ross)*arXiv:1602.08983 - A finite dimensional approach to Donaldson's J-flow
*(joint with Julien Keller)*arXiv:1507.03461 - On K-stability of finite covers arXiv:1505.07754
*(to appear in Bulletin of the London Mathematical Society)* - Non-reductive automorphism groups, the Loewy filtration and K-stability
*(joint with Giulio Codogni)*arXiv:1501.03372*(to appear in Annales de l'Institut Fourier)* - Alpha invariants and coercivity of the Mabuchi functional on Fano
manifolds arXiv:1412.1426
*(to appear in Annales de la Faculté des Sciences de Toulouse)* - Uniform stability of twisted constant scalar curvature Kähler metrics arXiv:1412.0648
*(to appear in Int. Math. Res. Notices)* - Alpha invariants and K-stability for general polarisations of Fano varieties arXiv:1307.6527
*(Int. Math. Res. Notices 2015 Vol 16 pp. 7162-7189)*

I organised a conference in Cambridge: Postgraduate Conference in Complex Geometry.