Research Interests

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)), their moduli spaces, and related topics. Some of the motivation for my research questions comes from theoretical physics, where manifolds with special geometry play an important role in quantum gravity theories such as string theory or M-theory. 

Publications

• Geometry and periods of G2-moduli spaces, Advances in Mathematics 479 (2025), part B. [DOI: 10.1016/j.aim.2025.110435]  [arXiv] 

• On the incompleteness of G2-moduli spaces along degenerating families of G2-manifolds, International Mathematics Research Notices 2025 (2025), no. 6. [DOI: 10.1093/imrn/rnaf069]  [arXiv]

• Analysis and spectral theory of neck-stretching problems, Communications in Mathematical Physics 406 (2025), no. 7. [DOI: 10.1007/s00220-024-05184-3]  [arXiv]