Gregorio Baldi

Postdoc
IHES

My e-mail address is
my surname[at]ihes[dot]fr

I am a postdoc at IHES. Previously, I was a Ph.D. student at the London School of Geometry and Number Theory, under the supervision of Prof. A. Yafaev. My Ph.D. thesis is available here.

Research

I work in Arithmetic Geometry and I am mainly interested in Shimura varieties, variational Hodge theory, the Zilber-Pink conjecture and homogeneous dynamics.

Geometry of the Hodge locus

On the distribution of the Hodge locus, (with B.Klingler and E.Ullmo), arXiv, 2021.
Special subvarieties of non-arithmetic ball quotients and Hodge Theory (with E.Ullmo), arXiv, slides, 2020, to appear in Ann. of Math.

Arithmetic aspects of Zilber-Pink

On the Geometric Ziber-Pink Theorem and the Lawrence-Venkatesh method, (with B.Klingler and E.Ullmo), arXiv, 2021.
Manin-Mumford in arithmetic pencils, (with R.Richard and E.Ullmo), arXiv, 2021.
On a conjecture of Buium and Poonen, arXiv, journal, slides. Annales de l'Institut Fourier, Tome 70 (2020) no. 2, pp. 457-477.

Rational points of Shimura varieties

Finite descent obstruction for Hilbert modular varieties (with G.Grossi), arXiv, journal, Canadian Math. Bull., Vol. 64-2 (2021), pp. 452 - 473.
Local to global principle for the moduli space of K3 surfaces, arXiv, journal, slides. Arch. Math. (2019) 112: 599.

Other papers

On the geometric Mumford-Tate conjecture for subvarieties of Shimura varieties, arXiv, journal. Proc. Amer. Math. Soc. 148 (2020).
Some remarks on motivical and derived invariants, arXiv, 2019.