Publications and Preprints

1. The set of destabilizing curves for deformed Hermitian Yang-Mills and Z-critical equations on surfaces (with S. Khalid). Preprint [arXiv:2210.06374] (2022). International Mathematics Research Notices, Volume 2024, Issue 7, April 2024, p. 5773-5814. 

2. Openness of uniform K-stability in the Kähler cone. 

Preprint [arXiv:2011.14806] (2020). 

3. Existence of cscK metrics on smooth minimal models. 

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23 (1) (2022), 223 - 232. 

See [arXiv:2004.02832] or the journal version.

4. Optimal lower bounds for Donaldson's J-functional. 

Advances in Mathematics, Volume 374 (2020). DOI: 10.1016/j.aim.2020.107271. 

See [arXiv:1907:01486] or the journal version.

5. A partial comparison of stability notions in Kähler geometry. 

Moduli of K-stable varieties, Springer INdAM series, Volume 31 (2019), Springer International Publishing, ISBN 978-3-030-13157-9. See [arXiv:1812.10958] or the journal version. 

6. On K-polystability of cscK manifolds with transcendental cohomology class (with an appendix by R. Dervan). 

International Mathematics Research Notices (IMRN), Volume 2020, Issue 9 (2020), 2769 - 2817. 

See [arXiv:1711.11482] or the journal version.

7. K-semistability of cscK manifolds with transcendental cohomology class. 

Journal of Geometric Analysis, Volume 28, Issue 4 (2018), 2927-2960. 

See [arXiv:1601.07659] or the journal version. 

PhD thesis "K-stabilité et variétés kähleriennes avec classe transcendante” (2017), under the supervision of S. Boucksom and V. Guedj. Available in English here. 

Master’s thesis ”Bergman kernels for high powers of positive line bundles” (2014), under the supervision of H. Samuelsson Kalm and R. Berman.