Ruadhaí Dervan

I'm a Senior Lecturer and Royal Society University Research Fellow at the University of Glasgow (I hope to move my website there very soon...). I've previously spent parts of my career and education at the University of Cambridge (where I was a fellow of Gonville & Caius College), École Polytechnique, Université libre de Bruxelles and Trinity College Dublin.

My first name is pronounced "Rui" (the "dh" is silent, it's Irish).

I research complex geometry, which is roughly the intersection of algebraic and differential geometry. At the moment most of my work lies between the two sides; in the past I've also worked on purely algebraic and purely analytic problems. Much of my research is motivated by linking geometric partial differential equations (determining "canonical metrics") to notions of stability in algebraic geometry. The most famous example of this sort of correspondence is what is known as the Yau-Tian-Donaldson conjecture, which links K-stability to the existence of constant scalar curvature Kähler metrics (a prominent special case of these metrics being Kähler-Einstein metrics). I'm also interested in a wide range of algebraic and analytic topics that enter into this field, such as moduli theory, geometric invariant theory, geometric analysis, birational geometry, non-Archimedean geometry, Bridgeland stability conditions, positivity properties in complex geometry (à la Demailly), pluripotential theory...

Donaldson has written a compelling survey of my area, Székelyhidi's book (see also similar notes) and Thomas' notes are excellent introductions.

My CV. My email address is ruadhai.dervan@glasgow.ac.uk.

I would be very happy to take more PhD students, and if you are interested please contact me. My current and previous students have worked on a range of topics in complex differential and algebraic geometry, they all used a lot of both (complex) differential and algebraic geometry (there is no need to start already knowing complex geometry, however). Similarly please contact me if you might like to do a postdoc in Glasgow (and you work on topics related to my research interests described above), and I can explain various funding sources.

Papers and preprints:

Students:

Postdocs:

Photos with Michael, John and Annamaria (Aarhus, June 2022) and Alexia and Rémi (Cambridge, August 2022).

I am organising a six-month programme titled New equivariant methods in algebraic and differential geometry along with several others at the Isaac Newton Institute in 2024. I've previously conferences and workshops in Cambridge (Cambridge complex geometry afternoon, 2022), Cambridge (K-stability and Kähler geometry, 2021), Newcastle (Newcastle complex geometry workshop, 2018), Rome (Moduli of K-stable varieties, 2017) and Cambridge (Postgraduate conference in complex geometry, 2015). The Rome conference has an associated conference proceedings, also edited by Codogni and Viviani.

I taught Part III Complex Manifolds in Cambridge in Lent Term 2020 and Lent Term 2019. I am not teaching at the moment.

Pickles