DOCUMENTS
PUBLICATIONS
K3 surfaces with an automorphism of order 3 and low Picard number, to appear on Journal of Mathematical Society of Japan (2024).
K3 surfaces with two involutions and low Picard number, with Wim Nijgh, Daniel Platt, Geometriae Dedicata, 218(55) (2024).
A Calabi--Yau threefold coming from two black holes, with Bert van Geemen, Journal of Geometry and Physics, 186 (2023).
Counting elliptic fibrations on K3 surfaces, with Davide Cesare Veniani, Journal of Mathematical Society of Japan, 75(4), 1195---1225 (2023).
Enriques involutions on pencils of K3 surfaces, with Davide Cesare Veniani, Mathematische Nachrichten, 295(7), 1312---1326 (2022).
Rationalizability of field extensions with a view towards Feynman integrals, with Andreas Hochenegger, Journal of Geometry and Physics, 178 (2022).
Rationalizability of square roots, with Marco Besier, Journal of symbolic computations, 106: 48---67 (2021).
Arithmetic and geometry of a K3 surface emerging from virtual corrections to Drell--Yan scattering, with Marco Besier, Michael Harrison, and Bartosz Naskręcki, Communications in Number Theory and Physics, 14(4) (2020). Accompanying MAGMA code.
Bhabha Scattering and a special pencil of K3 surfaces, with Duco van Straten, Communications in Number Theory and Physics, 13(2) (2019). Accompanying MAGMA code.
On the arithmetic of a family of degree-two K3 surfaces, with Florian Bouyer, Edgar Costa, Chris Nicholls, Mckenzie West, Mathematical proceedings of the Cambridge Philosophical Society, 166(3), 523---542 (2019). Accompanying MAGMA code.
Unirationality of del Pezzo surfaces of degree 2 over finite fields, with Ronald van Luijk, Bulletin of London mathematical society, 48(1): 135---140 (2016).
The Cayley-Oguiso automorphism of positive entropy on a K3 surface, with Alice Garbagnati, Bert van Geemen and Ronald van Luijk, Journal of Modern Dynamics, 7(1):75---97 (2013).
PREPRINTS
A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree 2, arXiv:1808.00351 (2018).
Unirationality of del Pezzo surfaces of degree 2 over finite fields (extended version), with Ronald van Luijk, arXiv:1408.0269 (2015).
THESES AND OTHER DOCUMENTS
Notes on elliptic curves.
Magma code implementing van Luijks method to compute an upper bound for the geometric Picard number of a given smooth quartic surface over the rationals. It is slow!
Magma code implementing van Luijk's method to compute an upper bound for the geometric Picard number of a given K3 surface of degree 2 over the rationals. It also works with sextics with ADE singularities.
Magma code to compute the tritangent lines to a given plane sextic curve over the rationals.
Notes on a conjecture on Kirkman's systems (2021).
Notes on deformations of K3 surfaces (2021): proof of Theorem II in Kulikov's paper Degenerations of K3 surfaces and Enriques surfaces (1977).
Topics in the arithmetic of del Pezzo and K3 surfaces, PhD thesis, supervisors: Ronald van Luijk, Bert van Geemen (2016).
Notes on Shimada's algorithm to compute the automorphism group of a K3 surface (2015).
Notes on the arithmetic of Drinfeld modules (2013).
Density of rational points on a family of diagonal quartic surfaces, MSc thesis, supervisor: Ronald van Luijk (2012).
Decomposizione di interi in somme di potenze, BSc thesis, supervisor: Patrizia Longobardi (2010).