I am a postdoc at the University of Sheffield, in the group of Evgeny Shinder.

Starting February 2025, I will be chargée de recherche with CNRS at the Université de Bourgogne in Dijon.

Before that I was
a postdoc at the University of Zurich, in the group of Andrew Kresch,
and at EPFL in the group of Zsolt Patakfalvi,
and at the University of Toulouse in the group of Stéphane Lamy.
I did my PhD in algebraic geometry under the supervision of Jérémy Blanc at the University of Basel.

Interests: Arithmetic questions on groups of birational transformations, classical algebraic geometry, Cremona groups, plane curve singularities, birational geometry, non-closed fields, turtles.

Abstract arXiv

Abstract arXiv

_{2}is generated by three infinite families and finitely many birational maps with small base orbits. One family preserves the pencil of lines through a point, the other two preserve the pencil of conics through four points that form either one Galois orbit of size 4, or two Galois orbits of size 2. For each family, we give a generating set that is parametrized by the rational functions over 𝔽

_{2}. Moreover, we describe the finitely many remaining maps and give an upper bound on the number needed to generate the Cremona group. Finally, we prove that the plane Cremona group over 𝔽

_{2}is generated by involutions.

DPtoolkit.py: | some basic functions that will be used throughout |

k-structure.py: | The information of the minimal del Pezzo surfaces in terms of k-structure. |

points_on_P2.ipynb: | Compute points in general position on projective plane over any finite field. |

points_on_Q.ipynb: | as above but for minimal del Pezzo surface of degree 8. |

points_on_X5.ipynb: | as above but for minimal del Pezzo surface of degree 5. |

points_on_X6.ipynb: | as above but for minimal del Pezzo surface of degree 6. |

Map_P2_66.py: | some functions to give explicit equation for the 6:6-link on P2, and the 3:3-link on X6. |

Map_P2_55.py: | as above but for the 2:2-link on X6. |

involution_P2_66.ipynb: | Can determine over any field whether the 6:6-link on P2 is an involution, and if yes, find the explicit equation. |

involution_X6_22.ipynb: | as above but for 2:2-link on X6. |

involution_X6_33.ipynb: | as above but for 3:3-link on X6. |

Abstract arXiv

_{k}-singularities of curves of bidegree (3,b) and find the answer for b ≤ 12.

open access