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Francesca Balestrieri

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Francesca Balestrieri

Assistant Professor

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Professor Balestrieri earned her DPhil in Arithmetic Geometry in 2017 from the University of Oxford, where she also gained experience in teaching by tutoring several undergraduate and graduate courses both at a departmental level and as a Stipendiary Lecturer in Pure Mathematics at Pembroke College. From 2017-2019, she was a Postdoctoral Fellow at the Max Planck Institute for Mathematics in Bonn. In 2019, she was awarded a two-year Marie Curie Individual Fellowship to carry out her research program at the Institute of Science and Technology Austria, near Vienna. She joined AUP in Fall 2020. Her research is in the field of arithmetic geometry. In particular, she is interested in the study of the qualitative and statistical arithmetic behaviour of rational points and zero-cycles on algebraic varieties over number fields. She is also interested in philosophy; in 2020, she obtained a Laurea Magistrale in Scienze Filosofiche from Ca' Foscari University of Venice.



Education/Degrees

  • Laura Magistrale in Scienze Filosofiche, Ca' Foscari University of Venice (2018-2020). Result: 110/110 Cum Laude.
  • DPhil in Arithmetic Geometry, University of Oxford (2013-2017).
  • MSc in Mathematics and Foundations of Computer Science, University of Oxford (2012-2013). Result: Distinction.
  • BA (upgraded to MA in 2016) Mathematical Tripos, University of Cambridge (2009-2012). Result: First Class (each year).

Publications

  • F. Balestrieri, J. Park, A. Shlapentokh. Hilbert’s Tenth Problem and the Inverse Galois Problem. Preprint, arXiv: 2007.13047.
  • F. Balestrieri, A. Johnson, R. Newton. Explicit uniform bounds for Brauer groups of singular K3 surfaces. Preprint, arXiv: 2006.14907.
  • F. Balestrieri, N. Rome. Average Bateman-Horn for Kummer polynomials. Preprint, arXiv: 2005.11835.
  • F. Balestrieri. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. To appear in Proceedings of the AMS. 
  • F. Balestrieri, R. Newton. Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces. International Mathematics Research Notices, rny303 (2019). 
  • 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. 
  • 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.
  • F. Balestrieri. Iterating the algebraic étale-Brauer set. Journal of Number Theory 182 (2018), 284-295. 
  • F. Balestrieri. Obstruction sets and extensions of groups. Acta Arithmetica 173 (2016), 151-181.
  • 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.

Conferences & Lectures

  • F. Balestrieri, L. Balestrieri. Guerra digitale: Il 5G e lo scontro tra Stati Uniti e Cina per il dominio tecnologico. Luiss University Press (2019).