

1989  PhD, HeriotWatt University, Edinburgh  19891990  Visiting Ass. Prof., Carnegie Mellon University  19901993  Postdoc, SFB 256, Bonn University  19931994  Visiting Member, IAS Princeton  1994  Full Professor, Freiburg University  1995  Full Professor, ETH Zürich  19962008  Director, MPI Mathematics in the Sciences, Leipzig  2008  Full Professor (C4), Bonn  1987  Diploma in Mathematics, Bonn  2010  External scientific member, MPI Bonn 


My goal is to develop mathematical methods to describe and understand multiscale problems and the formation, evolution and macroscopic effects of microstructure, in particular in advanced materials. I have always been fascinated by the subtle interplay of geometry, analysis, and physics in nonlinear elasticity, both for conventional and for phasetransforming materials. Results include a qualitatively new homogenization formula in nonlinear elastic materials [1], the first rigorous understanding of dimension reduction in nonlinear elasticity [5,6] and rigorous scaling laws for branching near austenite/martensite interfaces [2]. Implications for material design, e.g, for lowhysteresis shape memory alloys are explored in [8]. In turn estimates and constructions first discovered in elasticity led to new results in geometry [9] and rather striking counterexamples to Hilbert's 19th problem in PDE [10]. Other important areas are micromagnetics, where a simple, yet subtle, energy functional describes a huge variety of magnetization patterns on very different scales [7] and plasticity [4]. Recently
I have begun work on understanding the relation between atomistic and continuum theory of solids through statistical mechanics and rigorous renormalization.


DFG SFB 1060: The Mathematics of Emergent Effects; DFG FOR 797: Microplast – Analysis and computation of microstructure in finite plasticity.


Research Area B Expertise in nonconvex problems in the calculus of variations and their applications to material microstructure, including recent extensions to atomistic models as well as in a broad range of rigorous multiscale methods, including homogenization [1], singular perturbations [2,3] and convergence [4,5,6,7].  Research Area G Statistical mechanics of solids and thermodynamic limits through rigorous renormalization group methods. Relations between variational methods and small noise limits through capacity estimates and the theory of large deviations. 


[ 1] Stefan Müller
Homogenization of nonconvex integral functionals and cellular elastic materials Arch. Rational Mech. Anal. , 99: (3): 189212 1987 ISSN: 00039527 DOI: 10.1007/BF00284506[ 2] Robert V. Kohn, Stefan Müller
Surface energy and microstructure in coherent phase transitions Comm. Pure Appl. Math. , 47: (4): 405435 1994 ISSN: 00103640 DOI: 10.1002/cpa.3160470402[ 3] Stefan Müller
Singular perturbations as a selection criterion for periodic minimizing sequences Calc. Var. Partial Differential Equations , 1: (2): 169204 1993 ISSN: 09442669 DOI: 10.1007/BF01191616[ 4] Sergio Conti, Adriana Garroni, Stefan Müller
Singular kernels, multiscale decomposition of microstructure, and dislocation models Arch. Ration. Mech. Anal. , 199: (3): 779819 2011 ISSN: 00039527 DOI: 10.1007/s0020501003337[ 5] Gero Friesecke, Richard D. James, Stefan Müller
A hierarchy of plate models derived from nonlinear elasticity by gammaconvergence Arch. Ration. Mech. Anal. , 180: (2): 183236 2006 ISSN: 00039527 DOI: 10.1007/s0020500504007[ 6] Gero Friesecke, Richard D. James, Stefan Müller
A theorem on geometric rigidity and the derivation of nonlinear plate theory from threedimensional elasticity Comm. Pure Appl. Math. , 55: (11): 14611506 2002 ISSN: 00103640 DOI: 10.1002/cpa.10048[ 7] Antonio DeSimone, Robert V. Kohn, Stefan Müller, Felix Otto
A reduced theory for thinfilm micromagnetics Comm. Pure Appl. Math. , 55: (11): 14081460 2002 ISSN: 00103640 DOI: 10.1002/cpa.3028[ 8] Z.~Y.~Zhang , R.~D.~James , S.~Müller
Energy barriers and hysteresis in martensitic phase transformations Acta Materialia , 57: : 43324352 2009[ 9] Alexandre Freire, Stefan Müller, Michael Struwe
Weak convergence of wave maps from (1+2)dimensional Minkowski space to Riemannian manifolds Invent. Math. , 130: (3): 589617 1997 ISSN: 00209910 DOI: 10.1007/s002220050195[ 10] S. Müller, V. Sverák
Convex integration for Lipschitz mappings and counterexamples to regularity Ann. of Math. (2) , 157: (3): 715742 2003 ISSN: 0003486X DOI: 10.4007/annals.2003.157.715



Archive of Rational Mechanics and Analysis; Interfaces and Free Boundaries; Journal of Analysis and its Applications; M3AS.


1992  Prize of the European Mathematical Society  1993  MaxPlanck Research Prize (jointly with V. Sverák)  1999  Member of the Academy of BerlinBrandenburg  1999  Collatz prize of CICIAM  2000  Leibniz prize  2002  Member of the Academy Leopoldina  2013  Heinz Gumin Prize Mathematics of the Carl Friedrich von Siemens Foundation  2014  Member of the North RhineWestphalian Academy of Sciences, Humanities and the Arts 


1998  ICM, Berlin  2006  ICMP, Rio de Janeiro  1994  Plenary: German Math. Soc.  1996  ECM  1997  Austrian Math. Soc.  1998  GAMM  1999  ICIAM  2009  Annual Meeting of Leopoldina  1997  Andrejewski Lectures Berlin  2000  Ordway Lectures Minneapolis  2003  Landau Lectures Jerusalem  2006  Gauss Lecture Bremen 


B. Kirchheim (2001), now Professor Leipzig; G. Dolzmann (2002), now Professor Regensburg;
S. Conti (2004), now Professor Bonn.


Anja Schlömerkemper (2002), now Professor Würzburg; Christof Melcher (2002), now Professor
Aachen; László Székelyhidi (2004), now Professor Leipzig; Bernd Schmidt (2006), now
Professor Augsburg.


 PhD theses: 14, currently 2


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