Abridged CV
CV of
Oscar Macia, PhD
Lecturer
eMail: oscar.macia@uv.es
Phone Number(s):
Office: +34 963543033
Departmental Address:
Departamento de Matematicas
Facultad de Ciencias Matematicas,
Universidad de Valencia
C. Dr. Moliner, 50
(46100) Burjassot (Valencia)
SPAIN
Research Interests
My research is mainly in Differential Geometry and its interactions with the equations of 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.
Quaternionic and octonionic geometry.
Harmonic maps.
Manifolds with special holonomy.
Spinors.
Complex geometry.
Talks
- Moduli of holomorphic isometric embeddings of CP1 into quadrics, Valencia, 2017.
- Construccion twist del c-map, Zaragoza, & Buenos Aires AR, 2017.
- Holomorphic isometric embeddings from CP1 to complex quadrics, Murcia, 2016.
- Elementary deformations and the hyperkaehler/quaternionic kaehler correspondence, Daejon KR, & Zaragoza, 2014.
- SO(3), 8-manifolds and quaternionic geometry, L'Aquila IT, & Valencia, 2011.
- Nearly quaternionic manifold(s), Turin IT & Kyushu, JP, 2010.
- SO(3) -structures on AQH 8-manifolds, Valencia, 2009.
Teaching
Courses
[2018] Riemannian geometry (Geometria Diferencial)
[2018] Geometry on groups (Fundamentos de Matematica avanzada: Geometria y grupos)
[2016] Classical Differential Geometry (Geometria Diferencial Classica)
[2013] Differentiable manifolds (Variedades diferenciables)
Student projects
Classical Projective Geometry
The Frobenius Theorem
Introduction to Symplectic Geometry
Introduction to Riemannian Geometry
Recent Publications
Macia, Oscar; Nagatomo, Yasuyuki; Takahashi, Masaro; Holomorphic isometric embeddings of the projective line into quadrics. Tohoku Math. J. (2) 69 (2017), no. 4, 525-545.
Macia, Oscar; Swann, Andrew; Twist Geometry of the c-Map. Comm. Math. Phys. 336 (2015), no. 3, 1329-1357.
Macia, Oscar; Swann, Andrew; Elementary deformations and the hyperKaehler-quaternionic Kaehler correspondence. Real and complex submanifolds, 339-347, Springer Proc. Math. Stat., 106, Springer, Tokyo, 2014.