My main areas of research are differential geometry, Riemannian geometry and geometric analysis. I am particularly interested in manifolds with special holonomy (Calabi–Yau, hyperkähler, G2, Spin(7)) and the geometry of their moduli spaces.
Recently, I also took an interest in various related topics, such as calibrated geometry, Z2-harmonic forms, and singular deformation problems in Riemannian geometry.
Geometry and periods of G2-moduli spaces, Advances in Mathematics 479 (2025), part B. [article] [arXiv]
On the incompleteness of G2-moduli spaces along degenerating families of G2-manifolds, International Mathematics Research Notices 2025 (2025), no. 6. [article] [arXiv]
Analysis and spectral theory of neck-stretching problems, Communications in Mathematical Physics 406 (2025), no. 7. [article] [arXiv]
PhD thesis, G2-moduli spaces: geometry, periods and degenerate limits, University of Oxford (2025). [link - Oxford Thesis Collection]