Email: francesca.bianchi.maths [at] gmail.com
Until January 2023 I was a Postdoc in the Algebra group at the University of Groningen.
I completed my DPhil in 2019 at the University of Oxford, under the supervision of Jennifer Balakrishnan and Alan Lauder.
Algorithms for p-adic Heights on Hyperelliptic Curves of Arbitrary Reduction (with E. Kaya, J. S. Müller), Research in Number Theory, Sixteenth Algorithmic Number Theory Symposium (ANTS XVI), Vol. 11, No. 31, Springer (2025).
Coleman-Gross Heights and p-adic Néron Functions on Jacobians of Genus 2 Curves (with E. Kaya, J. S. Müller).
p-Adic sigma functions and heights on Jacobians of genus 2 curves.
Rational points on rank 2 genus 2 bielliptic curves in the LMFDB, (with O. Padurariu), Contemporary Mathematics, LuCaNT: LMFDB, Computation, and Number Theory, Vol. 796, AMS (2024), 215- 242.
Q(sqrt(-3))-Integral Points on a Mordell Curve , Mathematical Software – ICMS 2020, Vol 12097, Springer (2020), 39-50 .
Two recent p-adic approaches towards the (effective) Mordell conjecture , (with J. S. Balakrishnan, A. J. Best, B. Lawrence, J. S. Müller, N. Triantafillou, J. Vonk), Arithmetic L-functions and differential geometric methods, Birkhäuser (2021), 31-74.
Explicit quadratic Chabauty over number fields (with J. S. Balakrishnan, A. Besser, J. S. Müller) , Israel Journal of Mathematics, Vol. 243, No. 1 (2021), 185–232.
Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture, Algebra & Number Theory, Vol. 14, No. 9 (2020), 2369-2416.
Chabauty-Coleman experiments for genus 3 hyperelliptic curves , (with J. S. Balakrishnan, V. Cantoral-Farfán, M. Çiperiani, A. Etropolski), Research Directions in Number Theory, Association for Women in Mathematics Series, Vol. 19, Springer (2019), 67–90 .
Consequences of the functional equation of the p-adic L-function of an elliptic curve , Functiones et Approximatio, Commentarii Mathematici, Vol. 60, No. 2 (2019), 227-236.
The coronal energy input from magnetic braiding , (with A.R. Yeates, B. T. Welsh, P. J. Bushby) , Astronomy & Astrophysics Vol 564 : A131, (2014).