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    Preprints


  1. Uniform estimates: from Yau to Kolodziej, with V. Guedj.

  2. On uniqueness of solutions to complex Monge-Ampère mean field equations, with T.T. Phung.

    Articles


  1. Volumes of Bott-Chern classes, with S. Boucksom and V. Guedj.
    Peking Mathematical Journal, 2025.

  2. Quasi-plurisubharmonic envelopes 1: Uniform estimates on Kähler manifolds, with V. Guedj.
    J. Eur. Math. Soc. 27 (2025), no. 3, pp. 1185--1208..

  3. Relative pluripotential theory on compact Kähler manifolds, with T. Darvas and E. Di Nezza.
    Pure and Applied Mathematics Quarterly, Volume 21, Number 3, 1037--1118, 2025. Special issue in honor of J.-P. Demailly.

  4. Degenerate complex Hessian equations on compact Hermitian manifolds, with V. Guedj.
    Pure and Applied Mathematics Quarterly, Volume 21, Number 3, 1171--1194, 2025. Special issue in honor of J.-P. Demailly.

  5. Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations, with P. Åhag, R. Czyż and A. Rashkovskii.
    Math. Z. 308, 70 (2024).

  6. Geodesic connectivity and rooftop envelopes in the Cegrell classes, with P. Åhag, R. Czyż and A. Rashkovskii.
    Math. Ann. (2024).

  7. Quasi-plurisubharmonic envelopes 3: Solving Monge-Ampère equations on hermitian manifolds, with V. Guedj.
    J. Reine Angew. Math. 800 (2023), 259--298.

  8. Plurisigned hermitian metrics, with D. Angella and V. Guedj.
    Trans. Amer. Math. Soc. 376 (2023), 4631--4659.

  9. Quasi-plurisubharmonic envelopes 2: Bounds on Monge-Ampère volumes, with V. Guedj.
    Algebr. Geom. 9, No. 6, 688--713 (2022).

  10. Geodesic distance and Monge-Ampère measures on contact sets, with E. Di Nezza.
    Anal. Math. 48 (2022), no. 2, 451--488.

  11. Finite entropy vs finite energy, with E. Di Nezza and V. Guedj.
    Comment. Math. Helv. 96 (2021), no. 2, 389--419.

  12. Comparison of Monge-Ampère capacities.
    Ann. Polon. Math. 126 (2021), no. 1, 31--53.

  13. Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds, with T.T. Phung and T.D. Tô.
    Ann. Inst. Fourier (Grenoble) 71 (2021), no. 5, 2019--2045.

  14. Pluripotential solutions versus viscosity solutions to complex Monge-Ampère flows, with V. Guedj and A. Zeriahi.
    Pure and Applied Mathematics Quarterly 17-3 (2021), 971--990.

  15. Complex Hessian equations with prescribed singularity on compact Kähler manifolds, with V.D. Nguyen.
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 1, 425--462.

  16. The metric geometry of singularity types, with T. Darvas and E. Di Nezza.
    J. Reine Angew. Math. 771 (2021), 137--170.

  17. Geodesic stability, the space of rays, and uniform convexity in Mabuchi geometry, with T. Darvas.
    Geom. Topol. 24, No. 4, 1907--1967 (2020).

  18. Pluripotential Kähler-Ricci flows, with V. Guedj and A. Zeriahi.
    Geom. Topol. 24 (2020), no. 3, 1225--1296.

  19. The pluripotential Cauchy-Dirichlet problem for complex Monge-Ampère flows, with V. Guedj and A. Zeriahi.
    Ann. Sci. l'École Norm. Sup. (4) 54 (2021), no. 4, 889--944.

  20. Stability of solutions to complex Monge-Ampère flows, with V. Guedj and A. Zeriahi.
    Annales de l'Institut Fourier, Tome 68 (2018) no. 7, pp. 2819--2836.

  21. Lp metric geometry of big and nef cohomology classes, with E. Di Nezza.
    Acta Math Vietnam 45, 53--69 (2020).

  22. Pluripotential Theory and Convex Bodies: Large Deviation Principle, with T. Bayraktar, T. Bloom and N. Levenberg.
    Ark. Mat. Volume 57, Number 2 (2019), 247--283.

  23. Log-concavity of volume and complex Monge-Ampère equations with prescribed singularity, with T. Darvas and E. Di Nezza.
    Math. Ann. 379, No. 1-2, 95--132 (2021).

  24. Quantization in geometric pluripotential theory, with T. Darvas and Y. Rubinstein.
    Commun. Pure Appl. Math. 73, No. 5, 1100--1138 (2020).

  25. L1 metric geometry of big cohomology classes, with T. Darvas and E. Di Nezza.
    Annales de l'Institut Fourier, Tome 68, no 7 (2018), p. 3053--3086.

  26. Monotonicity of non-pluripolar products and complex Monge-Ampère equations with prescribed singularity, with T. Darvas and E. Di Nezza.
    Analysis & PDE 11 (2018) 2049--2087.

  27. Weak subsolutions to complex Monge-Ampère equation, with V. Guedj and A. Zeriahi.
    J. Math. Soc. Japan, Volume 71, Number 3 (2019), 727--738.

  28. Plurisubharmonic envelopes and supersolutions, with V. Guedj and A. Zeriahi.
    J. Differential Geom. Volume 113, Number 2 (2019), 273--313.

  29. On the singularity type of full mass currents in big cohomology classes, with T. Darvas and E. Di Nezza.
    Compositio Mathematica, Volume 154, Issue 2, (2018), pp. 380--409.

  30. From the Kähler-Ricci flow to moving free boundaries and shocks, with R. Berman.
    Journal de l'École polytechnique--Mathématiques, Tome 5 (2018), pp. 519--563.

  31. Regularity of weak minimizers of the K-energy and applications to properness and K-stability, with R. Berman and T. Darvas.
    Ann. Sci. l'École Norm. Sup. 53, 2020, 267--289.

  32. Convexity of the extended K-energy and the large time behavior of the weak Calabi flow, with R. Berman and T. Darvas.
    Geom. Topol. Volume 21, Number 5 (2017), 2945--2988.

  33. Uniqueness and short time regularity of the weak Kähler-Ricci flow, with E. Di Nezza.
    Adv. Math. 305 (2017), 953--993.

  34. Mixed Hessian inequalities and uniqueness in the class $\mathcal{E}(X,\omega,m)$, with S. Dinew.
    Math. Z. 279 (2015), no. 3-4, 753--766.

  35. Degenerate complex Hessian equations on compact Kähler manifolds, with V.D. Nguyen.
    Indiana Univ. Math. J. 64 (2015), no. 6, 1721--1745.

  36. Generalized Monge-Ampère capacities, with E. Di Nezza.
    Int. Math. Res. Not. IMRN 2015, no. 16, 7287--7322.

  37. Complex Monge-Ampère equations on quasi-projective varieties, with E. Di Nezza.
    J. Reine Angew. Math. 727 (2017), 145--167.

  38. A variational approach to complex Hessian equations in $\mathbb{C}^n$.
    J. Math. Anal. Appl. 431 (2015), no. 1, 228--259.

  39. Viscosity solutions to complex Hessian equations.
    J. Funct. Anal. 264 (2013), no. 6, 1355--1379.

  40. Solutions to degenerate complex Hessian equations.
    J. Math. Pures Appl. (9) 100 (2013), no. 6, 785--805.