Publications:

39. Volumes of Bott–Chern classes (with V. Guedj and H.C. Lu), Peking Math J. (2025) (pdf).

38. Measures of finite energy in pluripotential theory : a synthetic approach (with M. Jonsson), Contemporary Mathematics 810 (2025) (pdf).

37. A non-Archimedean approach to K-stability, I: Metric geometry of spaces of test configurations and valuations (with M. Jonsson), Ann. Inst. Fourier. 75, 829–927 (2025) (pdf).

36. Non-Archimedean Green’s functions and Zariski decompositions (with M. Jonsson), Comptes Rendus Mathématique 362, Special issue S1, 5–42 (2024) (pdf).

35. A non-Archimedean approach to K-stability, II: divisorial stability and openness (with M. Jonsson), J. Reine Angew. Math. 805, 1-52 (2023) (pdf).

34. Global pluripotential theory over a trivially valued field (with M. Jonsson),
Ann. Fac. Sci. Toulouse 31, 647-836 (2022) (pdf).

33. Differentiability of relative volumes over an arbitrary non-Archimedean field (with W. Gubler and F. Martin),
IMRN 2022, 6214-6242 (2022) (pdf).

32. Non-Archimedean volumes of metrized nef line bundles (with W. Gubler and F. Martin),
EPIGA 5 (2021) (pdf).

31. A note on Lang's conjecture for quotients of bounded domains (with S. Diverio),
EPIGA 5 (2021) (pdf).

30. Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry (with D. Eriksson),
Advances Math. 378 (2021) (pdf).

29. A variational approach to the Yau-Tian-Donaldson conjecture (with R. Berman and M. Jonsson),
J. Amer. Math. Soc. 34, 605-652 (2021) (pdf).

28. Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture,
Proc. ICM 2018, 591-617 (2019) (pdf).

27. Appendix to D. Witt Nyström's paper Duality between the pseudoeffective and the movable cone on a projective manifold.
J. Amer. Math. Soc. 32, 675-689 (2019) (pdf).

26. Uniform K-stability and asymptotics of energy functionals in Kähler geometry (with T. Hisamoto and M. Jonsson),
J. Eur. Math. Soc. 21, 2905-2944 (2019) (pdf). Erratum.

25. Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties (with R. Berman, P. Eyssidieux, V. Guedj and A. Zeriahi),
J. reine angew. Math. 751, 27--89 (2019) (pdf).

24. Tropical and non-Archimedean limits of degenerating families of volume forms (with M. Jonsson),
J. Ec. Polytechnique 4, 87-139 (2017) (pdf).

23. Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs (with T. Hisamoto and M. Jonsson),
Ann. Inst. Fourier 67, 743-841 (2017) (pdf).

22. Singular semipositive metrics in non-Archimedean geometry (with C. Favre, M. Jonsson),
J. Algebraic Geom. 25, 77-139 (2016) (pdf).

21. Solution to a non-Archimedean Monge-Ampère equation (with C. Favre, M. Jonsson),
J. Amer. Math. Soc. 28, 617-667 (2015) (pdf).

20. Valuation spaces and multiplier ideals on singular varieties (with T. de Fernex, C. Favre, S. Urbinati),
in: Recent advances in algebraic geometry, 29-51, London Math. Soc. Lecture Note Ser. 417, Cambridge Univ. Press, Cambridge, (2015) (pdf).

19. Appendix to G. Székelyhidi's paper Filtrations and test-configurations,
Math. Ann. 362, 451-484 (2015) (pdf).

18. Vanishing sequences and Okounkov bodies (with A. Küronya, C. Maclean, T. Szemberg),
Math. Ann. 361, no. 3-4, 811-834 (2015) (pdf).

17. Corps d'Okounkov,
Séminaire Bourbaki talk in October 2012, Astérisque 361, exp. no. 1059, vii, 1-41 (2014) (pdf).

16. Augmented base loci and restricted volumes on normal varieties (with S. Cacciola, A.F. Lopez), 
Math. Z. 278, no. 3-4, 979-985 (2014) (pdf).

15. A refinement of Izumi's theorem (with Charles Favre and Mattias Jonsson),
in: Valuation theory in interaction, 55-81, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich (2014) (pdf).

14. Uniruledness of stable base loci of adjoint linear systems via Mori Theory (with A. Broustet and G. Pacienza),
Math. Z. 275, no. 1-2, 499-507 (2013) (pdf).

13. A variational approach to complex Monge-Ampère equations (with R. Berman, V. Guedj and A. Zeriahi),
Publ. Math. Inst. Hautes Etudes Sci. 117, 179-245 (2013) (pdf).

12.  The volume of an isolated singularity (with T. de Fernex and C. Favre),
Duke Math. J. 161, no. 8, 1455-1520 (2012) (pdf).

11. Fekete points and convergence towards equilibrium measures on complex manifolds (with R. Berman and D. Witt-Nyström),
Acta Math. 207, no. 1, 1-27 (2011) (pdf).

10. Okounkov bodies of filtered linear series (with H. Chen),
Compositio Math. 147, no. 4, 1205-1229 (2011) (pdf).

9. Monge-Ampère equations in big cohomology classes (with P. Eyssidieux, V. Guedj and A. Zeriahi),
Acta Math. 205, no. 2, 199-262 (2010) (pdf).

8. Growth of balls of holomorphic sections and energy at equilibrium (with R. Berman),
Invent. Math. 181, no. 2, 337-394 (2010) (pdf).

7. Differentiability of volumes of divisors and a problem of Teissier (with C. Favre and M. Jonsson),
J. Algebraic Geom. 18, no. 2, 279-308 (2009) (pdf).

6. Degree growth of meromorphic surface maps (with C. Favre and M. Jonsson),
Duke Math. J. 141, no. 3, 519-538 (2008) (pdf).

5. Valuations and plurisubharmonic singularities (with C. Favre and M. Jonsson),
Publ. RIMS 44, no. 2, 449-494 (2008) (pdf).

4. The pseudoeffective cone of a compact Kähler manifold and varieties of negative Kodaira dimension(with J.P. Demailly, M. Paun and T. Peternell),
arXiv:math/0405285, J. Algebraic Geom. 22, no. 2, 201-248 (2013) (pdf).

3. Divisorial Zariski decompositions on compact complex manifolds.
Ann. Sci. ENS (4) 37, no. 1, 45-76 (2004) (pdf).

2. On the volume of a line bundle.
Int. J. Math. 13, no. 10, 1043-1063 (2002) (pdf).

1. Le cône kählérien d'une variété hyperkählérienne. (French)
C.R. Acad. Sci., Paris, Série I, Math. 333, no. 10, 935-938  (2001)   (pdf).

Preprints:

3. Weighted extremal Kähler metrics on resolutions of singularities (with M. Jonsson and A. Trusiani),
arXiv:2412.06096 (pdf).

2. A non-Archimedean approach to K-stability (with M. Jonsson),
arXiv:1805.11160 (pdf).

1. Singular semipositive metrics on line bundles on varieties over trivially valued fields (with M. Jonsson),
arXiv:1801.08229 (pdf).

Lecture notes:

4. Singularities of plurisubharmonic functions and multiplier ideals,
draft (2018) (pdf).

3. Introduction au programme du modèle minimal(in French),
rough draft (2014) (pdf).

2. Regularizing properties of the Kähler-Ricci flow (with V. Guedj),
in: An introduction to the Kähler-Ricci flow, S. Boucksom, P. Eyssidieux and V. Guedj editors. Lecture Notes in Math. 2086. Springer, Cham (2013) (pdf).

1. Monge-Ampère equations on complex manifolds with boundary,
in: Complex Monge-Ampère equations and geodesics in the space of Kähler metrics, V. Guedj editor. Lecture Notes in Mathematics, 2038. Springer, Heidelberg (2012) (pdf).

Miscellaneous: 

6. Limite thermodynamique et théorie du potentiel (French),
Gaz. Math. 146, 16-26 (2015) (pdf).

5. Remarks on minimal models of degenerations,
unpublished note (2014) (pdf).

4. Finite generation for Gromov-Hausdorff limits,
unpublished note (2013) (pdf).

3. Successive minima and lattice points (after Henk, Gillet and Soulé),
unpublished note (2011) (pdf).

2. Quelques problèmes asymptotiques en géométrie complexe (French),
Habilitation Thesis (2011) (pdf).

1. Cônes positifs des variétés complexes compactes (French),
Ph. D. Thesis (2002) (pdf).