Francesca Balestrieri's Home Page

Francesca Balestrieri

Assistant Professor
AUP

E-mail: fbalestrieri [at] aup [dot] edu

I'm interested in arithmetic geometry - in particular, in obstructions to arithmetic properties of rational points and 0-cycles of degree 1 on nice varieties over number fields. In September 2017, I completed my DPhil at University of Oxford under the supervision of Victor Flynn. From October 2017 to September 2019, I was a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn. From September 2019 to July 2020 I was a Marie Curie Fellow at IST Austria in Tim Browning's research group. I am now in Paris working as an Assistant Professor at AUP.

Here.

Publications and preprints

10) F. Balestrieri, J. Park, A. Shlapentokh. Hilbert’s Tenth Problem and the Inverse Galois Problem. Preprint. [PDF]
9) F. Balestrieri, A. Johnson, R. Newton. Explicit uniform bounds for Brauer groups of singular K3 surfaces. To appear in Annales de l'Institut Fourier. [PDF]
8) F. Balestrieri, N. Rome. Average Bateman-Horn for Kummer polynomials. Preprint. [PDF]
7) F. Balestrieri. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. To appear in Proceedings of the AMS. [PDF].
6) F. Balestrieri, R. Newton. Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces. IMRN, rny303 (2019). [Published Version] [PDF]
5) F. Balestrieri. Brauer-Manin obstruction and families of generalised Chatelet surfaces over number fields. International Journal of Number Theory, 15 no. 2 (2019), 289-308. [Published Version] [PDF].
4) F. Balestrieri, J. Desjardins, A. Garbagnati, C. Maistret, C. Salgado, I. Vogt. Elliptic fibrations on covers of the elliptic modular surface of level 5. WINE II: Contributions to Number Theory and Arithmetic Geometry, AWM Springer Series 11 (2018), 159-197. [Published Version] [PDF] .
3) F. Balestrieri. Iterating the algebraic étale-Brauer set. Journal of Number Theory 182 (2018), 284-295. [Published Version] [PDF].
2) F. Balestrieri. Obstruction sets and extensions of groups. Acta Arithmetica 173 (2016), 151-181. [Published Version] [PDF].
1) F. Balestrieri, J. Berg, M. Manes, J. Park, B. Viray. Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces. Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, AWM Springer Series 3 (2016), 1-32. [Published Version] [PDF] .

In July 2020 I obtained a Laurea Magistrale in Scienze Filosofiche at Ca' Foscari University of Venice under the supervision of Cecilia Rofena.

I've recently written a book with my father on the geopolitical tensions between USA and China for digital sovereignty. It's published by Luiss University Press. Subliminal message: buy it!

From September to December 2015, I was in Seattle visiting Bianca Viray.

Disclaimer. The html code for this page has been shamelessly stolen (and yellowfied) from Jan Vonk's page (here).