• Stefan Müller (1996 - 2008, former director)
  Mathematical foundations of materials science, microstructures, micromagnatism, continuum mechanics, singular perturbations, non-linear partial differential equations and the calculus of variations
  Now at: Hausdorff Center for Mathematics Bonn (Germany), see homepage
  

• Eberhard Zeidler (1996 - 2007, retired director)
  Non-linear partial differential equations, non-linear functional analysis, classical and modern mathematical physics, selected questions of mathematical chemistry and mathematical biology

Following the links you will go to the homepages of the heads of former research groups (all external):

• Antonio DeSimone (1998 - 2003)
  Multi-scale phenomena in materials
  Now at: Scuola Internazionale Superiore di Studi Avanzati (SISSA) Trieste (Italy), see homepage

• Nicolas Dirr (2004 - 2007)
  Mathematical Models for Materials
  Now at: Cardiff University (United Kingdom), see homepage

• Peter Hornung (2011 - 2013)
  Emmy Noether Group: Geometric Analysis in the Applied Sciences
  Former MPI MiS Homepage
  Now at: Hausdorff Center for Mathematics Bonn (Germany)

• Matthias Schwarz (1999 - 2000)
  Symplectic Geometry and Hamiltonian Dynamical Systems
  Now at: University Leipzig (Germany), see homepage

• Angela Stevens (2001 - 2007)
  Mathematical Biology
  Now at: University Münster (Germany), see homepage

• Johannes Zimmer (2003 - 2004)
  Emmy Noether Group
  Now at: BATH (United Kingdom), see homepage