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Marina Logares

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Biographical Review

Doctor at Universidad Autónoma de Madrid in 2006. Spend a year from 2006 to 2007 working as a postdoctoral researcher at Max Plank Institut für Mathematik Bonn, Germany. Then move to the Centro de Matemática da Universidade do Porto, Portugal, with a postdoctoral contract (equivalent to a Juan de la Cierva spanish grant) from 2007 till the end of 2009. In the beginning of 2010 she incorporates to the Instituto de Ciencias Matemáticas (ICMAT) under an i-Math future contract. Since 2011 she continues her work at ICMAT under a JAE-Doc contract.

Collaborates with researchers in Mathematics and Physics abroad, in Europe (as of University of Edinburgh, UK) and out of Europe ( as of Tata Institute for fundamental research, Mumbai, India).

Member of the Indo-European project funded by Marie Curie IRSES program with representatives at ICMAT, and the Universities of Aarhus, Oxford and Pierre et Marie Curie (Paris) and the Research Institutes TIFR (Mumbai), CMI (Chennai), IMSc (Chennai), IISc(Bangalore).

Research Interests

My interest focuses on the study of certain partial differential equations, highly non linear, coming from theoretical physics and, for which finding explicit solutions is hard or there are not known methods. In this situation geometry studies the space of solutions to this equations providing it with a geometric structure, as a moduli space, and studying its geometric and topological properties.

Occasionally, as it happens for Yang-Mills equations, and a dimensional reduction of them known as the Hitchin equations, this moduli spaces are, geometrically speaking, extremely rich. Hence its study becomes crucial from the geometric viewpoint. For instance they are related to the geometric Langlands program, geometric quantization, Nahm and Fourier transforms, etc.