**Francesca Bianchi**

DPhil student in Mathematics

University of Oxford

Email: francesca.bianchi [at] maths.ox.ac.uk

Office: N0.04

I am a fourth year DPhil student in algebraic number theory, supervised by Jennifer Balakrishnan and Alan Lauder.

** Publications and preprints**

Explicit quadratic Chabauty over number fields (with J.S. Balakrishnan, A. Besser, J.S. Müller), 2019.

Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture, 2019.

Chabauty-Coleman experiments for genus 3 hyperelliptic curves (with J.S. Balakrishnan, V. Cantoral-Farfán, M. Çiperiani, A. Etropolski), *Research Directions in Number Theory: Women in Numbers IV*, to appear.

A result on the analytic mu-invariant of elliptic curves, 2017.

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* ** 564 **: A131, (2014).