# Enric Solé-Farré

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 / Sapienza University of Rome) and Sir Simon Donaldson (Imperial College).

My research interest focuses on the interplay between differential geometry and topology and physical theories. I mainly focus on higher-dimensional gauge theory and special holonomy. I am currently working in the study of objects with conical singularities, and their moduli space.

## Academic talks

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

2^{nd} August, 2024 |
Morse index and symmetries - How symmetries help us study some PDE problems | UCL ECR Seminar |

11^{th} January, 2024 |
Cohomogeneity one - From PDEs to groups and ODEs | UCL Postgraduate Seminar |

20^{th} December, 2023 |
Cohomogeneity one - From PDEs to groups and ODEs | SIMBa Barcelona |

27^{th} October, 2023 |
An invitation to (topological) K-theory | Imperial Junior Geometry Seminar |

23^{rd} October, 2023 |
What is a harmonic form? | UCL/KCL Junior Geometry Seminar |

7^{th} June, 2023 |
Deformations of G_2-instantons on Sasaki-Einstein and 3-Sasaki manifolds | Geometry Seminar, Univeristy of Hamburg |

26^{th} April, 2023 |
Deformations of G_2-instantons on S^7 | Topology Seminar, Univeristy of Aberdeen |

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

2^{nd} December, 2022 |
Morse theory and Poincaré conjecture | Imperial Junior Geometry Seminar |

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

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

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

## Organised academic events and seminars

Date | Event type | Title |
---|---|---|

8^{th} - 12^{th} July, 2024 |
Workshop | BIGW V: Mathematical General Relativity |

10th June 2024 | Symposium | Symmetries in Riemannian Geometry |

September 2023 - June 2024 | Seminar | UCL/KCL Junior Geometry Seminar |

30^{th} August-1^{st} September, 2023 |
Workshop | Queer In Number theory and Geometry (QuING) |

3^{rd} - 7^{th} July, 2023 |
Workshop | BIGW IV: Geometric flows and related topics |

11^{th} November, 2022 |
Conference | Oxford-London Gauge Assembly (OLGA) 2022 |

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

21^{st} - 24^{th} June, 2022 |
Conference | Ealry Career Researchers in Mathematics (ECRM) 2022 |

## Teaching Positions

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

SuSe 2024 | TA | UCL | Newtonian Mechanics |

SuSe 2024 | TA | KCL | Complex Analysis |

SuSe 2024 | TA | KCL | Geometry of surfaces |

WiSe 2023 | TA | UCL | Complex Analysis |

WiSe 2023 | Marker | KCL | Calculus I |

WiSe 2023 | TA | KCL | Manifolds |

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 |

## Miscellaneous

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 |