Francesco Ballini
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
"On the L-Polynomials of curves over finite fields"
(with D. Lombardo and M. Verzobio)
ArXiv (2023), https://doi.org/10.48550/arXiv.1807.07370
"Hyperelliptic continued fractions in the singular case of genus zero"
(with F. Veneziano)
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 795–832, https://doi.org/10.48550/arXiv.2108.06560
"Division of primitive Points in an abelian Variety"
ArXiv (2022), https://doi.org/10.48550/arXiv.2207.00049
"Vertex distinction with subgraph centrality: A proof of Estrada's conjecture and some generalizations"
(with N. Deniskin)
Linear Algebra Appl., Vol.612 (2021), pp. 334–344, https://doi.org/10.48550/arXiv.2007.08956
Diophantine Geometry, especially Unlikely Intersections and the Zilber-Pink Conjecture. I am broadly interested in Elliptic Curves, Height Functions and Arithmetic Dynamics. I care a lot about applications of Model Theory to Point Counting and Functional Transcendence via o-Minimality.
MT 2020: C1.3 Analytic Topology (TA)
HT 2021: C1.4 Axiomatic Set Theory (TA)
MT 2021: C3.4 Algebraic Geometry (TA)
HT 2022: C1.2 Gödel's Incompleteness Theorems (TA)
MT 2022: C1.1 Model Theory (Tutor)
MT 2023: C3.6 Modular Forms (Tutor)
HT 2024: B1.2 Set Theory (TA)