My research
My research
My area of research is complex algebraic geometry, which deals with the study of zero loci of systems of polynomials with complex coefficients, called complex algebraic varieties, using the tools of abstract algebra, differential geometry and complex analysis.
My research has mainly focused on the positivity of vector bundles and the birational geometry of algebraic varieties. The classes of algebraic varieties I have dealt with thus far are projective Ricci-flat manifolds, their singular analogues, and Mori dream spaces.
Publications:
Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds, Int. Math. Res. Not. IMRN, Volume 2023, Issue 20, October 2023, Pages 17156–17204, [https://arxiv.org/abs/2106.03678, journal].
Pseudo-effective classes on projective irreducible holomorphic symplectic manifolds. Accepted for publication in Ann. Inst. Fourier (Grenoble), [https://arxiv.org/abs/2205.15148].
Asymptotic base loci on hyper-Kähler manifolds (with Á. D. Ríos Ortiz). Commun. Contemp. Math., Vol. 27, No. 04, 2450026 (2025) [https://arxiv.org/abs/2304.01773, journal].
Polygons of Newton-Okounkov type on irreducible holomorphic symplectic manifolds. Accepted for publication in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), [https://arxiv.org/abs/2311.03295, journal].
Preprints:
MMP for Enriques pairs and singular Enriques varieties (with Á. D. Ríos Ortiz, N. Tsakanikas, and Z. Xie), [https://arxiv.org/abs/2409.12054].
Birational geometry of hypersurfaces in products of weighted projective spaces, [https://arxiv.org/abs/2411.04673].
Weighted four-dimensional Fano hypersurfaces of K3 type (with V. Bertini, E. Fatighenti, and A. Grossi), [https://arxiv.org/abs/2506.18014].
Deformations of primitive Enriques varieties (with N. Tsakanikas and Z. Xie), [https://arxiv.org/abs/2509.14014].
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You'll find here the pdf of my Ph.D. thesis, supervised by Gianluca Pacienza and Giovanni Mongardi, and reviewed by Olivier Debarre and Alex Küronya.