Ph.D. in Pure Mathematics

**University College London & Imperial College London**

I'm a Ph.D. student at University College London and Imperial College London, under a co-supervision of Lorenzo Foscolo (University College London) and Sir Simon Donaldson (Imperial College).

My research interest focuses on the interplay between differential geometry and topology and physical theories, with a focus on higher-dimensional gauge theory and special holonomy.

Date | Title | Event | Material |
---|---|---|---|

5th December, 2022 | Geometry and holonomy of cones | UCL/KCL Junior Geometry Seminar | Link |

2nd December, 2022 | Morse theory and Poincaré conjecture | Imperial Junior Geometry Seminar | Link |

28th July, 2022 | Mathematical applications of Gauge Theory | Geometry, Representation theory and Physics | Link |

10th March, 2022 | Introduction to G-structures | UCL/KCL Junior Geometry Seminar | Link |

22nd September, 2021 | Instantons and foliations | LMU Geometry Seminar |

Date | Title | Link |
---|---|---|

Summer 2023 | Queer In Number theory and Geometry (QuING) | Link |

3rd-7th July, 2023 | BIGW IV | Link |

11th November, 2022 | Oxford-London Gauge Assembly (OLGA) 2022 | Link |

October-December, 2022 | LSGNT Lunch Seminar | Link |

21st-24th June, 2022 | Ealry Career Researchers in Mathematics (ECRM) 2022 | Link |

Date | Role | University | Course |
---|---|---|---|

SuSe 2023 | TA | KCL | Geometry of surfaces |

SuSe 2023 | TA | UCL | Newtonian Mechanics |

WiSe 2022 | TA | UCL | Fluid Mechanics |

WiSe 2022 | Marker | UCL | General Relativity |

WiSe 2022 | TA | KCL | Manifolds |

SuSe 2022 | TA | KCL | Geometry of surfaces |

SuSe 2022 | TA | KCL | Introductory Quantum Theory |

SuSe 2021 | TA | LMU | Mathematical Gauge Theory |

SuSe 2021 | Marker | LMU | Partial Differential Equations II |

WiSe 2020 | TA | LMU | Topology I |

WiSe 2020 | Marker | LMU | Partial Differential Equations I |

Title | Description | Link |
---|---|---|

"What if we lived in a Pringle crisp?" | Video of the sciene outreach event Bcnspiracy 2020 (in Catalan with Spanish subtitles) | Link |

Morse theory: a microlocal perspective | My undergraduate thesis in mathematics, on rederiving the Morse inequalities using the theory of microsupport | Link |

Exact WKB and resurgence in Quantum Mechanics | My undergraduate thesis in physics, on non-perturbative effects in quantum mechanincs | Link |