Research interests:
My research focuses on geometric structures on Riemannian manifolds, specially G2 and Spin(7). I am particularly interested in finding examples of certain types of G2 structures and the study of their topological properties.
Preprints:
[11] Hodge theoretic results for nearly Kähler manifolds in all dimensions (with M. Albanese, S. Karigiannis and A. Milivojević), arXiv:2509.06664.
[10] Closed G2 structures on compact manifolds satisfying the known topological obstructions to holonomy G2 metrics, arXiv:2508.12658 .
Publications:
[9] Compact holonomy G2 manifolds need not be formal, Accepted in Geometry & Topology, arXiv:2409.04362 .
--This paper disproves a folklore conjecture. See here for a broad-audience explanation.
[8] Extrinsic geometry of calibrated submanifolds (with S. Karigiannis), Mathematische Zeitschrift, 307 (2024), 33, 26pp.
doi.org/10.1007/s00209-024-03503-x, arXiv:2309.03428.
[7] The twisted G2 equation for equation for strong G2 structures with torsion (with A. Fino and A. Raffero), Pure and Applied Mathematics Quarterly, Vol. 20, Issue 6 (2024), 2711--2767. doi:10.4310/PAMQ.241112235423, arXiv:2306.07128.
[6] Exact G2 structures on compact quotients of Lie groups (with A. Fino and A. Raffero), Annali di Matematica Pura ed Applicata, 202 (2023), 901—925. doi:10.1007/s10231-022-01264-0, arVix:2108.11664.
[5] A non-formal compact closed G2 manifold with b1=1, Mathematische Nachrichten, vol 295, 8 (2022), 1562–1590. doi:10.1002/mana.202000452, arXiv:2005.04924
[4] Resolution of 4-dimensional symplectic orbifolds (with J. Rojo), Annals of Global Analysis and Geometry, 59 (2021), 385–416. doi:10.1007/s10455-021-09753-w, arXiv:2003.08191
[3] Spin-harmonic structures and nilmanifolds (with G. Bazzoni and V. Muñoz), Communications in Analysis and Geometry, vol 32 (2024),
153--201, doi:10.4310/CAG.240905215149, arXiv:1904.01462.
[2] Spinorial classification of Spin(7) structures, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), vol. XXI, issue special (2020), 873–910. doi:10.2422/2036-2145.201806_001, arXiv:1803.08734
[1] Tight neighbourhoods of contact submanifolds (with L. Hernández-Corbato and F. Presas), Journal of Symplectic Geometry, vol 18, 6 (2020), 1629–1646. doi:10.4310/JSG.2020.v18.n6.a4, arXiv:1802.07006
Ph.D. Thesis:
Spin(7) structures, Spinors and Nilmanifolds (2021)