Research

Here are links to my papers.

• On the Futaki invariant of Fano threefolds (joint with Carl Tipler), arXiv:2307.02258, to appear in Annali dell’Università di Ferrara 

• Analytic K-semistability and wall-crossing (joint with Carl Tipler), arXiv:2212.08383

• Extremal Kähler metrics on blowups (joint with Ruadhaí Dervan), arXiv:2110.13579

• Extremal metrics on the total space of destabilising test configurations (joint with Cristiano Spotti), arXiv:2110.07496 , Mathematische Annalen 388 (4), pp. 3427-3461, 2024

• Z-critical connections and Bridgeland stability conditions (joint with Ruadhaí Dervan and John McCarthy), arXiv:2012.10426, to appear in Cambridge Journal of Mathematics 

• Hermitian Yang-Mills connections on pullback bundles (joint with Carl Tipler), arXiv:2006.06453, Calculus of Variations and Partial Differential Equations 63,  article no 13 (2024)

• Uniqueness of optimal symplectic connections (joint with Ruadhaí Dervan), arXiv:2003.13626, Forum of Mathematics, Sigma , Volume 9 , 2021 , e18

• Moduli theory, stability of fibrations and optimal symplectic connections (joint with Ruadhaí Dervan), arXiv:1911.12701,  Geometry & Topology 25 (5), pp. 2643–2697, 2021

• Optimal symplectic connections on holomorphic submersions (joint with Ruadhaí Dervan), arXiv:1907.11014 , Communications on Pure and Applied Mathematics 74 (10), pp. 2132-2184, 2021

• Blowing up extremal Poincaré type manifolds, arXiv:1811.12584 , Mathematical Research Letters 30 (1), pp. 185-238, 2023

• Extremal metrics on fibrations (joint with Ruadhaí Dervan), arXiv:1712.05374 , Proceedings of the London Mathematical Society 120 (4), pp. 587-616, 2020

• Extremal Kähler Poincaré type metrics on toric varieties (joint with Vestislav Apostolov and Hugues Auvray), arXiv:1711.08424 , The Journal of Geometric Analysis 31(2), pp. 1223-1290, 2021

• Hermitian Yang-Mills connections on blowups (joint with Ruadhaí Dervan), arXiv:1707.07638, The Journal of Geometric Analysis 31(1), pp. 516-542, 2021

• Appendix to Quasi-asymptotically conical Calabi-Yau manifolds (joint with Ronan Conlon and Frédéric Rochon, main paper by Anda Degeratu, Ronan Conlon and Frédéric Rochon), arXiv:1611.04410 , Geometry & Topology 23 (1), pp. 29-100, 2019

• An investigation of stability on certain toric surfaces, arXiv:1610.09419 , New York Journal of Mathematics 24, pp. 317-354, 2018