Calculus of Variations and Geometric Measure Theory

postdoctorial positions in the Max-Planck research group "Geometric Measure Theory"

created by paolini on 20 Oct 2011

Deadline: 15 dec 2011

POSTDOCTORAL POSITIONS IN GEOMETRIC ANALYSIS AND GRAVITATION

The Max Planck Institute for Gravitational Physics (Albert Einstein Institute) will fill research positions in the areas

Mathematical Relativity Geometric Analysis Geometric Measure Theory Research programs concern the mathematical foundations of general relativity and related physical theories, they are based in analysis, geometry and numerical analysis. In particular, nonlinear partial differential equations are a common theme of our research.

The Einstein field equations model both the behaviour of global cosmological models and of isolated gravitating systems such as stars, black holes and galaxies. Our research addresses the qualitative and quantitative properties of solutions with respect to their local and global behaviour, singularity formation and numerical simulation and investigates the close correspondence between geometrical structures and physical concepts. Other field equations arise from string theory and the consideration of matter in modern mathematical models in elasticity, fluids, electromagnetism and gauge theories.

Several mathematical projects are concerned with the geometrical structure of space and time. They involve geometrical variational principles characterizing specific models in geometry and physics as well as geometric evolution equations like the mean curvature flow of surfaces and the Ricci-flow of Riemannian metrics.

The Max Planck research group “Geometric Measure Theory” is centred round geometric regularity questions concerning singular submanifolds of Euclidean space. This study is often based on a strong connection to elliptic partial differential equations.

There are close interactions with the research sections "Astrophysical Relativity" and "Quantum Gravity and Unified Theories" in the Albert Einstein Institute, as well as with the universities in Berlin and Potsdam.

Postdoctoral appointments typically are for two years, starting September 2012 or earlier.

A limited number of PhD-scholarships is available, compare also the website of our "International-Max-Planck-Research-School", http:/www.aei.mpg.deimprsindex.html.

To apply please fill out this form: https:/lotus1.aei.mpg.dejob-form.nsfmath-rel-jobs.xsp

or submit a curriculum vitae, list of publications and statement of research interests, and arrange for three letters of recommendation to be sent to math-rel-jobs@aei.mpg.de.