Francesca Balestrieri's Home Page
Francesca Balestrieri

Assistant Professor
AUP

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

Mathematically, I'm interested in arithmetic geometry - in particular, in obstructions to arithmetic properties of rational points and 0-cycles on 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.

Mathematics aside, in July 2020 I obtained a Laurea Magistrale in Scienze Filosofiche at Ca' Foscari University of Venice under the supervision of Cecilia Rofena, with a thesis on Wittgenstein's notion of "following a rule" in Kripke's work. In 2022, I completed the Stanford Artificial Intelligence Professional Program, where I took the following courses: XCS229 Machine Learning, XCS221 Artificial Intelligence: Principles and Techniques, XCS234 Reinforcement Learning, and XCS224N Natural Language Processing with Deep Learning. Here are some recent machine learning projects (with a focus on deep learning) I have been involved with: RivusVoxEditor, a near-live zero-shot speech editing tool developed with Zack Bezemek - you can watch a demo here); a collaborative project under the mentorship of NewAtlantis Labs on modeling the relationship between biogeochemical layers and chlorophyll density in the shallow sea regions.

Here is my (possibly not up-to-date) CV.

In general, I enjoy playing the violin and composing music, and I spend quite a lot of my free time trying to improve my (at the moment quite poor) Modern Standard Arabic. Here's my cat.

Two books (both on geopolitics, both in Italian, and both published by Luiss University Press): "Guerra digitale" (2019) and "Tecnologie dell'impero" (2024). Hidden message: buy them!

Mathematical research (warning: the published papers might differ from the preprint versions)
13) F. Balestrieri. Degrees of closed points on hypersurfaces.
      Mathematische Nachrichten, 297 (2024), no. 5, 1831-1837. [Published Version] [PDF].
12) F. Balestrieri, J. Brandes, M. Kaesberg, J. Ortmann, M. Pieropan, R. Winter. Campana points on diagonal hypersurfaces.
      Accepted for publication in WINE IV: Research Directions in Number Theory. [PDF]
11) F. Balestrieri, J. Berg. Descent and étale-Brauer obstructions for 0-cycles.
      International Mathematics Research Notices, 2024 (2024) no. 16, pp. 11712–11748. [Published Version] [PDF].
10) F. Balestrieri, J. Park, A. Shlapentokh. First-order theory of a field and its Inverse Galois Problem.
      Preprint. [PDF].
  9) F. Balestrieri, A. Johnson, R. Newton. Explicit uniform bounds for Brauer groups of singular K3 surfaces.
      Annales de l'Institut Fourier, 73 (2023) no. 2, pp. 567-607. [Published Version] [PDF]
  8) F. Balestrieri, N. Rome. Average Bateman-Horn for Kummer polynomials.
      Acta Arithmetica , 207 (2023), 315-350. [Published Version] [PDF]
  7) F. Balestrieri. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups.
      Proceedings of the American Mathematical Society, 151 (2023), 907-914. [Published Version] [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] .