Mario Garcia-fernandez

Biography

I am an Assistant Professor (Profesor Ayudante Doctor) at the Universidad Autónoma de Madrid, from September 2017. Previously, I have done postdocs at the ICMAT (Marie Curie Fellow, Severo Ochoa Fellow--Nigel Hitchin Laboratory), at the École Polytechnique Fédéral de Lausanne (Switzerland), at the Centre for Quantum Geometry of Moduli Spaces (Denmark) and at the Max Planck Institute for Mathematics (Germany). I obtained my PhD in 2009 at the Universidad Autónoma de Madrid.

Research Interest

"My research is in the areas of differential geometry and algebraic geometry. The problems I study are mainly in complex geometry (Kähler and hermitian), and have strong links with geometric analysis and mathematical physics. The main research line I have carried out is the study of geometric structures and moduli spaces. Current projects include special metrics and connections in Kähler geometry (constant scalar curvature Kähler, Hermite-Yang-Mills, vortices, Hitchin equations) and their relation to stability conditions in algebraic geometry (GIT), moduli spaces (bundles and varieties, Higgs bundles, wall-crossing), special holonomy and mirror symmetry (Calabi-Yau, G2 geometry, Strominger system, generalized geometry, T-duality, vertex algebras)."