Iacopo Brivio

About me: 

I am a Postdoc at the Center for Mathematical Sciences and Applications (CMSA) at Harvard University, where my mentor is Prof. Mihnea Popa. Previously I was a Postdoctoral Fellow at the National Center for Theoretical Sciences (NCTS) in Taipei, Taiwan, under the supervision of Prof. Jungkai A. Chen. I obtained my PhD in 2020 from the University of California, San Diego, supervised by Prof. James McKernan. Here is my CV.

Research:

• Minimal Model Program and applications to moduli theory

• Positive and mixed characteristic algebraic geometry

• Analytic methods

Publications:

• Invariance of plurigenera fails in positive and mixed characteristic , Int. Math. Res. Not. (2022), [arXiv link].

• Abundance theorem for threefolds in mixed characteristic (with F. Bernasconi and L. Stigant), Math. Ann. (2022), [arXiv link].

• Arithmetic and geometric deformations of 3-folds (with F. Bernasconi and S. Filipazzi), Bull. Lond. Math. Soc. (2023), [arXiv link].

• Lifting globally F-split surfaces to characteristic zero (with F. Bernasconi, T. Kawakami,  and J. Witaszek), J. Reine Angew. Math. (2024), [arXiv link].

• Non-extendable MMPs, to appear in PAMQ's special volume in honour of James McKernan's 60th birthday.

• On the superadditivity of anticanonical Iitaka dimension (with M. Benozzo and C.-K. Chang), to appear in Advances in Mathematics.

Preprints:

1. Invariance of plurigenera and good minimal models (new and improved version).

Contact Information: 

Harvard University, 20 Garden St, Cambridge, MA 02138

Email: ibrivio[at]cmsa.fas.harvard.edu