Enric Solé-Farré

Chern Instructor at BIMSA (website) LinkedIn Google Scholar ORCID

Office: 3-4 210 BIMSA, No. 544, Hefangkou Village Huaibei Town, Beijing

I'm a Chern Instructor at the Beijing Institute of Mathematical Scienes and Applications (BIMSA). I obtained my Ph.D. in August 2025 from University College London and Imperial College London, under a co-supervision with Lorenzo Foscolo (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. In particular, I mainly focus on

Special holonomy metrics with a focus on conical singularities and weak holonomy metrics,
Gauge theory in higher dimensions and the Donaldson-Thomas program,
Techniques of dimensional reduction for geometric partial differential equations, especially the application of cohomogeneity one methods.

You can find an updated copy of my CV here.

Publications and preprints

Date	Publication	Link
2026	Gauge theory on cohomogeneity one Spin(7)-manifolds from Aloff-Wallach spaces - (preprint)	PDF
2026	Stability of nearly Kähler and nearly parallel $G_2$-manifolds - In: Journal of Geometric Analysis	Link
2024	The Hitchin index in cohomogeneity one nearly Kähler structures - (preprint)	PDF

Invited talks

Date	Title	Event
26^th October, 2026	Spin(7) bubbles and flops under cohomogeneity one assumptions	New Frontiers in Gauge Theory, Topology, and Physics, OIST, OKinawa
25^th March, 2026	From Fueter sections to connections on spheres and back	Geometry, HOlonomy and Structures with Torsion (GHOST) conference
28^th October, 2025	Conical singularities: deformations, functionals and indices	BIMSA Geometry Seminar
22^nd October, 2025	From Fueter sections to connections on spheres and back	Berlin Gauge Theory Seminar
12^th May, 2025	The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds	Duke Geometry Seminar
12^th May, 2025	The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds	Duke Geometry Seminar
9^th May, 2025	The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds	Waterloo Geometry Seminar
8^th April, 2025	Connections on the 7 sphere	Gauge Theory Seminar, Rutgers University
17^th March, 2025	Gauge theory in generalised Hopf bundles	London Gauge Theory Days
5^th February, 2025	The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds	Leeds Geometry Seminar
11^th December, 2024	The Hitchin and Einstein indices of cohomogeneity one nearly Kähler manifolds	UCL Geometry Seminar
7^th October, 2024	Hitchin Functionals and Einstein Coindex of Cohomogeneity-One Nearly Kähler Manifolds	Geometry Oberseminar Münster
20^th December, 2023	Cohomogeneity one - From PDEs to groups and ODEs	SIMBa Barcelona
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
28^th July, 2022	Mathematical applications of Gauge Theory	Geometry, Representation theory and Physics

Contributed talks

Date	Title	Event
4^th July, 2026	TBA	YMSC Postdoc Workshop
23^rd December, 2025	On the spectrum of G-equivariant operators	BIMSA Postdoc Workshop
23^rd October, 2025	What I (Don't) Know About Critical Points of Eigenfunctions	BIMSA Seminar
7^th March, 2025	Why do we care about EDI?	UCL ECR Seminar
14^th October, 2024	What are canonical metrics?	UCL/KCL Junior Geometry Seminar
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
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
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
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
Dec 2025 - Jun 2026	Seminar	BIMSA Complex Geometry Seminar
Oct 2025 - Jun 2026	Seminar	BIMSA Differential Geometry Seminar
1^st - 5^th September, 2025	Workshop	BIGW VI: Minimal surfaces
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	Early Career Researchers in Mathematics (ECRM) 2022

Teaching

Date	Role	University	Course
WiSe 2026	Lecturer (Guest)	UCM	Topics in Complex Geometry (UCM website)
SuSe 2025	Lecturer	YMSC	Holonomy and special metrics
WiSe 2025	Lecturer	BIMSA	Complex Geometry

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