Dr Ruadhaí Dervan

  • Professor (Mathematics)

telephone: 01413306538
email: Ruadhai.Dervan@glasgow.ac.uk

Office 439, Mathematics & Statistics Building, University of Glasgow

Import to contacts

Biography

My website (which contains, for example, a full list of publications and much more information) is available at:

https://www.maths.gla.ac.uk/~rdervan/

 

Research interests

I research complex geometry, which is roughly the intersection of algebraic and differential geometry. I'm interested in both the analytic and algebro-geometric sides of complex geometry, and at the moment most of my work lies somewhere between the two.

 

Topics I'm currently interested in include Kähler geometry, moduli theory, birational geometry and geometric analysis, amongst others.

 

 

Research groups

Publications

List by: Type | Date

Jump to: 2025 | 2024 | 2023 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2014
Number of items: 23.

2025

Dervan, Ruadhaí and Reboulet, Rémi (2025) The birational geometry of GIT quotients. Bulletin of the London Mathematical Society, (doi: 10.1112/blms.70072) (Early Online Publication)

Dervan, Ruadhaí and Naumann, Philipp (2025) Moduli of polarised manifolds via canonical Kähler metrics. Annales de l'Institut Fourier, (Accepted for Publication)

Dervan, Ruadhaí and Ibáñez Núñez, Andrés (2025) Stability conditions in geometric invariant theory. Quarterly Journal of Mathematics, (doi: 10.1093/qmath/haae068) (Early Online Publication)

2024

Dervan, Ruadhaí and Reboulet, Rémi (2024) Ding stability and Kähler–Einstein metrics on manifolds with big anticanonical class. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2024(816), pp. 201-239. (doi: 10.1515/crelle-2024-0062)

Dervan, Ruadhaí, McCarthy, John Benjamin and Sektnan, Lars Martin (2024) Z-critical connections and Bridgeland stability conditions. Cambridge Journal of Mathematics, 12(2), pp. 253-355. (doi: 10.4310/CJM.2024.v12.n2.a1)

2023

Dervan, Ruadhaí and Legendre, Eveline (2023) Valuative stability of polarised varieties. Mathematische Annalen, 385(1-2), pp. 357-391. (doi: 10.1007/s00208-021-02313-4)

Dervan, Ruadhaí (2023) Stability conditions for polarised varieties. Forum of Mathematics, Sigma, 11, e104. (doi: 10.1017/fms.2023.104)

2021

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Optimal symplectic connections on holomorphic submersions. Communications on Pure and Applied Mathematics, 74(10), pp. 2132-2184. (doi: 10.1002/cpa.21930)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Moduli theory, stability of fibrations and optimal symplectic connections. Geometry and Topology, 25(5), pp. 2643-2697. (doi: 10.2140/gt.2021.25.2643)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Uniqueness of optimal symplectic connections. Forum of Mathematics, Sigma, 9, e18. (doi: 10.1017/fms.2021.15)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Hermitian Yang–Mills connections on blowups. Journal of Geometric Analysis, 31(1), pp. 516-542. (doi: 10.1007/s12220-019-00286-0)

2020

Dervan, Ruadhaí (2020) K-semistability of optimal degenerations. Quarterly Journal of Mathematics, 71(3), pp. 989-995. (doi: 10.1093/qmathj/haaa012)

Dervan, Ruadhaí and Székelyhidi, Gábor (2020) The Kähler–Ricci flow and optimal degenerations. Journal of Differential Geometry, 116(1), pp. 187-203. (doi: 10.4310/jdg/1599271255)

Dervan, Ruadhaí and Sektnan, Lars Martin (2020) Extremal metrics on fibrations. Proceedings of the London Mathematical Society, 120(4), pp. 587-616. (doi: 10.1112/plms.12297)

2019

Dervan, Ruadhaí and Keller, Julien (2019) A finite dimensional approach to Donaldson’s J‑flow. Communications in Analysis and Geometry, 27(5), pp. 1025-1085. (doi: 10.4310/CAG.2019.v27.n5.a2)

Dervan, Ruadhaí and Ross, Julius (2019) Stable maps in higher dimensions. Mathematische Annalen, 374(3-4), pp. 1033-1073. (doi: 10.1007/s00208-018-1706-8)

2018

Dervan, Ruadhaí (2018) Relative K-stability for Kähler manifolds. Mathematische Annalen, 372(3-4), pp. 859-889. (doi: 10.1007/s00208-017-1592-5)

2017

Dervan, Ruadhaí and Ross, Julius (2017) K-stability for Kähler manifolds. Mathematical Research Letters, 24(3), pp. 689-739. (doi: 10.4310/MRL.2017.v24.n3.a5)

2016

Dervan, Ruadhaí (2016) Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds. Annales de la Faculté des sciences de Toulouse : Mathématiques, 25(4), pp. 919-934. (doi: 10.5802/afst.1515)

Dervan, Ruadhaí (2016) On K-stability of finite covers. Bulletin of the London Mathematical Society, 48(4), pp. 717-728. (doi: 10.1112/blms/bdw029)

Codogni, Giulio and Dervan, Ruadhaí (2016) Non-reductive automorphism groups, the Loewy filtration and K-stability. Annales de l’institut Fourier, 66(5), pp. 1895-1921. (doi: 10.5802/aif.3052)

Dervan, Ruadhaí (2016) Uniform stability of twisted constant scalar curvature Kähler metrics. International Mathematics Research Notices, 2016(15), pp. 4728-4783. (doi: 10.1093/imrn/rnv291)

2014

Dervan, Ruadhaí (2014) Alpha invariants and K-Stability for general polarizations of Fano varieties. International Mathematics Research Notices, 2015(16), pp. 7162-7189. (doi: 10.1093/imrn/rnu160)

This list was generated on Sun Jun 15 16:52:57 2025 BST.
Jump to: Articles
Number of items: 23.

Articles

Dervan, Ruadhaí and Reboulet, Rémi (2025) The birational geometry of GIT quotients. Bulletin of the London Mathematical Society, (doi: 10.1112/blms.70072) (Early Online Publication)

Dervan, Ruadhaí and Naumann, Philipp (2025) Moduli of polarised manifolds via canonical Kähler metrics. Annales de l'Institut Fourier, (Accepted for Publication)

Dervan, Ruadhaí and Ibáñez Núñez, Andrés (2025) Stability conditions in geometric invariant theory. Quarterly Journal of Mathematics, (doi: 10.1093/qmath/haae068) (Early Online Publication)

Dervan, Ruadhaí and Reboulet, Rémi (2024) Ding stability and Kähler–Einstein metrics on manifolds with big anticanonical class. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2024(816), pp. 201-239. (doi: 10.1515/crelle-2024-0062)

Dervan, Ruadhaí, McCarthy, John Benjamin and Sektnan, Lars Martin (2024) Z-critical connections and Bridgeland stability conditions. Cambridge Journal of Mathematics, 12(2), pp. 253-355. (doi: 10.4310/CJM.2024.v12.n2.a1)

Dervan, Ruadhaí and Legendre, Eveline (2023) Valuative stability of polarised varieties. Mathematische Annalen, 385(1-2), pp. 357-391. (doi: 10.1007/s00208-021-02313-4)

Dervan, Ruadhaí (2023) Stability conditions for polarised varieties. Forum of Mathematics, Sigma, 11, e104. (doi: 10.1017/fms.2023.104)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Optimal symplectic connections on holomorphic submersions. Communications on Pure and Applied Mathematics, 74(10), pp. 2132-2184. (doi: 10.1002/cpa.21930)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Moduli theory, stability of fibrations and optimal symplectic connections. Geometry and Topology, 25(5), pp. 2643-2697. (doi: 10.2140/gt.2021.25.2643)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Uniqueness of optimal symplectic connections. Forum of Mathematics, Sigma, 9, e18. (doi: 10.1017/fms.2021.15)

Dervan, Ruadhaí and Sektnan, Lars Martin (2021) Hermitian Yang–Mills connections on blowups. Journal of Geometric Analysis, 31(1), pp. 516-542. (doi: 10.1007/s12220-019-00286-0)

Dervan, Ruadhaí (2020) K-semistability of optimal degenerations. Quarterly Journal of Mathematics, 71(3), pp. 989-995. (doi: 10.1093/qmathj/haaa012)

Dervan, Ruadhaí and Székelyhidi, Gábor (2020) The Kähler–Ricci flow and optimal degenerations. Journal of Differential Geometry, 116(1), pp. 187-203. (doi: 10.4310/jdg/1599271255)

Dervan, Ruadhaí and Sektnan, Lars Martin (2020) Extremal metrics on fibrations. Proceedings of the London Mathematical Society, 120(4), pp. 587-616. (doi: 10.1112/plms.12297)

Dervan, Ruadhaí and Keller, Julien (2019) A finite dimensional approach to Donaldson’s J‑flow. Communications in Analysis and Geometry, 27(5), pp. 1025-1085. (doi: 10.4310/CAG.2019.v27.n5.a2)

Dervan, Ruadhaí and Ross, Julius (2019) Stable maps in higher dimensions. Mathematische Annalen, 374(3-4), pp. 1033-1073. (doi: 10.1007/s00208-018-1706-8)

Dervan, Ruadhaí (2018) Relative K-stability for Kähler manifolds. Mathematische Annalen, 372(3-4), pp. 859-889. (doi: 10.1007/s00208-017-1592-5)

Dervan, Ruadhaí and Ross, Julius (2017) K-stability for Kähler manifolds. Mathematical Research Letters, 24(3), pp. 689-739. (doi: 10.4310/MRL.2017.v24.n3.a5)

Dervan, Ruadhaí (2016) Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds. Annales de la Faculté des sciences de Toulouse : Mathématiques, 25(4), pp. 919-934. (doi: 10.5802/afst.1515)

Dervan, Ruadhaí (2016) On K-stability of finite covers. Bulletin of the London Mathematical Society, 48(4), pp. 717-728. (doi: 10.1112/blms/bdw029)

Codogni, Giulio and Dervan, Ruadhaí (2016) Non-reductive automorphism groups, the Loewy filtration and K-stability. Annales de l’institut Fourier, 66(5), pp. 1895-1921. (doi: 10.5802/aif.3052)

Dervan, Ruadhaí (2016) Uniform stability of twisted constant scalar curvature Kähler metrics. International Mathematics Research Notices, 2016(15), pp. 4728-4783. (doi: 10.1093/imrn/rnv291)

Dervan, Ruadhaí (2014) Alpha invariants and K-Stability for general polarizations of Fano varieties. International Mathematics Research Notices, 2015(16), pp. 7162-7189. (doi: 10.1093/imrn/rnu160)

This list was generated on Sun Jun 15 16:52:57 2025 BST.

Grants

Royal Society University Research Fellowship (2020 - present).

Supervision