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Francesca Balestrieri

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Francesca Balestrieri

Assistant Professor

  • Department: Computer Science, Math and Environmental Science
  • Personal Website: 

Professor聽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 吃瓜tv 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聽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.听Hilbert鈥檚 Tenth Problem and the Inverse Galois Problem. Preprint, arXiv:聽2007.13047.
  • F. Balestrieri, A. Johnson, R. Newton.听Explicit uniform bounds for Brauer groups of singular K3 surfaces. Preprint, arXiv:聽2006.14907.
  • F. Balestrieri, N. Rome.听Average Bateman-Horn for Kummer polynomials. Preprint, arXiv:聽2005.11835.
  • F. Balestrieri.听Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. To appear in聽Proceedings of the AMS.听
  • F. Balestrieri, R. Newton.听Arithmetic of rational points and zero-cycles on products of Kummer varieties and K3 surfaces.听International Mathematics Research Notices, rny303 (2019).听
  • F. Balestrieri.听Brauer-Manin obstruction and families of generalised Chatelet surfaces over number fields.听International Journal of Number Theory, 15 no. 2 (2019), 289-308.听
  • F. Balestrieri, J. Desjardins, A. Garbagnati, C. Maistret, C. Salgado, I. Vogt.听Elliptic fibrations on covers of the elliptic modular surface of level 5.听WINE II: Contributions to Number Theory and Arithmetic Geometry, AWM Springer Series 11 (2018), 159-197.
  • F. Balestrieri.听Iterating the algebraic 茅tale-Brauer set.听Journal of Number Theory聽182 (2018), 284-295.听
  • F. Balestrieri.听Obstruction sets and extensions of groups.听Acta Arithmetica聽173 (2016), 151-181.
  • F. Balestrieri, J. Berg, M. Manes, J. Park, B. Viray.听Insufficiency of the Brauer-Manin obstruction for rational points on Enriques surfaces.听Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, AWM Springer Series 3 (2016), 1-32.

Conferences & Lectures

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