Francesca Balestrieri's Home Page
Francesca Balestrieri

Assistant Professor

E-mail: fbalestrieri [at] aup [dot] edu
There should be a picture here...

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.



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 American Mathematical Society. [PDF].
  6) F. Balestrieri, R. Newton. Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces.
      International Mathematics Research Notices, 2021 no. 6 (2021), 4255-4279. [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.
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