Research Interests
My research is mainly in Differential Geometry, often inspired by problems arising in Theoretical Physics. Typically, it centers around the study of manifolds endowed with some additional structure (Riemannian, complex,...) defined through the action of a Lie group. A list of topics would include
- Quaternionic and exceptional geometry.
- Harmonic maps.
- Manifolds with special holonomy.
- Spinors.
- Differential operators.
- Complex geometry.
All
Recent Publications (from MathSciNet)
- MR498417
Macia, Oscar; Nagatomo, Yasuyuki;
Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics.
Ann. Mat. Pura Appl. (4) 201 (2022), no. 6, 2965--2978.
32Q40 (32H02 53C07)
PDF Article - MR4054644
Macia, Oscar; Swann, Andrew;
The c-map on groups.
Classical Quantum Gravity 37 (2020), no. 1, 015015, 17 pp.
PDF Article - MR3803337
Macia, Oscar; Nagatomo, Yasuyuki;
Moduli of Einstein-Hermitian harmonic mappings of the projective line into quadrics.
Ann. Global Anal. Geom. 53 (2018), no. 4, 503-520.
PDF Article
University links
Journals
Whereabouts
Simon Chiossi's Geometry Inventory