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.
Publications and preprints
| Date | Publication | Link |
|---|---|---|
| 2024 | The Hitchin index in cohomogeneity one nearly Kähler structures | |
| 2024 | Stability of nearly Kähler and nearly parallel $G_2$-manifolds |
Invited talks
| Date | Title | Event |
|---|---|---|
| 12th May, 2025 | The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds | Duke Geometry Seminar |
| 9th May, 2025 | The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds | Waterloo Geometry Seminar |
| 8th April, 2025 | Connections on the 7 sphere | Gauge Theory Seminar, Rutgers University |
| 17th March, 2025 | Gauge theory in generalised Hopf bundles | London Gauge Theory Days |
| 5th February, 2025 | The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds | Leeds Geometry Seminar |
| 11th December, 2024 | The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds | UCL Geometry Seminar |
| 7th October, 2024 | Hitchin Functionals and Einstein Coindex of Cohomogeneity-One Nearly Kähler Manifolds | Geometry Oberseminar Münster |
| 20th December, 2023 | Cohomogeneity one - From PDEs to groups and ODEs | SIMBa Barcelona |
| 7th June, 2023 | Deformations of G_2-instantons on Sasaki-Einstein and 3-Sasaki manifolds | Geometry Seminar, Univeristy of Hamburg |
| 26th April, 2023 | Deformations of G_2-instantons on S^7 | Topology Seminar, Univeristy of Aberdeen |
| 28th July, 2022 | Mathematical applications of Gauge Theory | Geometry, Representation theory and Physics |
Contributed talks
| Date | Title | Event |
|---|---|---|
| 7th March, 2025 | Why do we care about EDI? | UCL ECR Seminar |
| 14th October, 2024 | What are canonical metrics? | UCL/KCL Junior Geometry Seminar |
| 2nd August, 2024 | Morse index and symmetries - How symmetries help us study some PDE problems | UCL ECR Seminar |
| 11th January, 2024 | Cohomogeneity one - From PDEs to groups and ODEs | UCL Postgraduate Seminar |
| 27th October, 2023 | An invitation to (topological) K-theory | Imperial Junior Geometry Seminar |
| 23rd October, 2023 | What is a harmonic form? | UCL/KCL Junior Geometry Seminar |
| 5th December, 2022 | Geometry and holonomy of cones | UCL/KCL Junior Geometry Seminar |
| 2nd December, 2022 | Morse theory and Poincaré conjecture | Imperial Junior Geometry Seminar |
| 10th March, 2022 | Introduction to G-structures | UCL/KCL Junior Geometry Seminar |
| 22nd September, 2021 | Instantons and foliations | LMU Geometry Seminar |
Organised academic events and seminars
| Date | Event type | Title |
|---|---|---|
| 1st - 5th September, 2025 | Workshop | BIGW VI: Minimal surfaces |
| 8th - 12th 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 |
| 30th August-1st September, 2023 | Workshop | Queer In Number theory and Geometry (QuING) |
| 3rd - 7th July, 2023 | Workshop | BIGW IV: Geometric flows and related topics |
| 11th November, 2022 | Conference | Oxford-London Gauge Assembly (OLGA) 2022 |
| October-December, 2022 | Seminar | LSGNT Lunch Seminar |
| 21st - 24th June, 2022 | Conference | Ealry Career Researchers in Mathematics (ECRM) 2022 |
Teaching Positions
| Date | Role | University | Course |
|---|---|---|---|
| SuSe 2024 | TA | KCL | Geometry of surfaces |
| WiSe 2024 | TA | KCL | Manifolds |
| 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 |