

1987  Diploma in Mathematics, University of Bonn  1989  PhD, HeriotWatt University, Edinburgh, Scotland, UK  1989  1990  Visiting Assistant Professor, Carnegie Mellon University, Pittsburgh, PA, USA  1990  1993  Postdoc, DFG Collaborative Research Center SFB 256 “Nichtlineare partielle Differentialgleichungen”, University of Bonn  1993  1994  Visiting Member, Institute of Advanced Study, Princeton, NJ, USA  1994  Professor, University of Freiburg  1995  Professor, ETH Zürich, Switzerland  1996  2008  Director, Max Planck Institute for Mathematics in the Sciences, Leipzig  Since 2008  Professor (C4), University of Bonn  Since 2010  External Scientific Member, Max Planck Institute for Mathematics, 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, the first rigorous understanding of dimension reduction in nonlinear elasticity [2,3], and rigorous scaling laws for branching near austenite / martensite interfaces [1]. Implications for material design, e.g., for lowhysteresis shape memory alloys are explored in [5]. In turn estimates and constructions first discovered in elasticity led to new results in geometry and rather striking counterexamples to Hilbert's 19th problem in PDE [6].
Recent and ongoing work addresses the influence of microscopic defects on effective material behaviour, e.g. in plasticity [7,8] as well as scaling levels and pattern formation in thin elastic sheets [9]. In both areas the rigidity estimates of [3] play a crucial role. I have also begun to work on the relation between atomistic and continuum theory of solids through statistical mechanics and rigorous renormalization.


DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”
DFG Cluster of Excellence “Hausdorff Center for Mathematics”
Principal Investigator


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, singular perturbations [1], and convergence [2,3,4].  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] Robert V. Kohn, Stefan Müller
Surface energy and microstructure in coherent phase transitions Comm. Pure Appl. Math. , 47: (4): 405435 1994 DOI: 10.1002/cpa.3160470402[ 2] 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 DOI: 10.1007/s0020500504007[ 3] 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 DOI: 10.1002/cpa.10048[ 4] Antonio DeSimone, Robert V. Kohn, Stefan Müller, Felix Otto
A reduced theory for thinfilm micromagnetics Comm. Pure Appl. Math. , 55: (11): 14081460 2002 DOI: 10.1002/cpa.3028[ 5] Zhiyong Zhang, Richard D. James, Stefan Müller
Energy barriers and hysteresis in martensitic phase transformations Acta Materialia , 57: (15): 43324352 2009[ 6] S. Müller, V. \v Sverák
Convex integration for Lipschitz mappings and counterexamples to regularity Ann. of Math. (2) , 157: (3): 715742 2003 DOI: 10.4007/annals.2003.157.715[ 7] Sergio Conti, Adriana Garroni, Stefan Müller
Dislocation microstructures and straingradient plasticity with one active slip plane J. Mech. Phys. Solids , 93: : 240251 2016 DOI: 10.1016/j.jmps.2015.12.008[ 8] Stefan Müller, Lucia Scardia, Caterina Ida Zeppieri
Geometric rigidity for incompatible fields, and an application to straingradient plasticity Indiana Univ. Math. J. , 63: (5): 13651396 2014 DOI: 10.1512/iumj.2014.63.5330[ 9] Stefan Müller, Heiner Olbermann
Conical singularities in thin elastic sheets Calc. Var. Partial Differential Equations , 49: (34): 11771186 2014 DOI: 10.1007/s0052601306166[ 10] Olga Dmitrieva, Patrick Dondl, Stefan Müller, Dierk Raabe
Lamination microstructure in shear deformed copper single crystals Acta Materialia , 57: (12): 34393449 2009



• Archive of Rational Mechanics and Analysis
• Forum of Mathematics, Pi
• Forum of Mathematics, Sigma


1992  Prize of the European Mathematical Society  1993  Max Planck Research Award (jointly with V. Sverák)  1999  Member of the BerlinBrandenburg Academy of Sciences and Humanities  1999  Collatz Prize of ICIAM  2000  Leibniz Prize  2002  Member of the Leopoldina (German National Academy of Sciences)  2013  Heinz Gumin Prize for Mathematics of the Carl Friedrich von Siemens Foundation  2014  Member of the North RhineWestphalian Academy of Sciences, Humanities and the Arts  2015  Member of the Academia Europaea 


1994  Plenary speaker, German Mathematical Society, Duisburg  1996  European Congress of Mathematics, Budapest, Hungary  1997  Austrian Mathematical Society  1997  Andrejewski Lectures, Berlin  1998  International Congress of Mathematicians, Berlin  1998  Annual Meeting of GAMM, Bremen  1999  ICIAM, Edinburgh, Scotland, UK  2000  Ordway Lectures, Minneapolis, MN, USA  2003  Landau Lectures, Jerusalem, Israel  2006  Gauss Lecture, Bremen  2006  ICMP, Rio de Janeiro, Brasil  2009  Annual Meeting of Leopoldina (German National Academy of Sciences)  2010  Conference “New developments in elasticity: the legacy of Robert Hocke”, Oxford, England, UK  2013  Lecture series “Mathematical problems in thin elastic sheets”, Cetraro, Italy  2015  Conference “Geometric nonlinear analysis”, ETH Zürich, Switzerland 


Bernd Kirchheim (2001), now Professor, University of Leipzig
Georg Dolzmann (2002), now Professor, University of Regensburg
Sergio Conti (2004), now Professor, University of Bonn


Anja Schlömerkemper (2002): “Magnetic Forces in Discrete and Continuous Systems”,
now Professor, University of Würzburg
Christof Melcher (2002): “Néel walls and regularity in thin film micromagnetics”,
now Professor, RWTH Aachen
László Székelyhidi Jr. (2004): “Elliptic Regularity versus RankOne Convexity”,
now Professor, University of Leipzig
Bernd Schmidt (2006): “Effective theories for thin elastic films”,
now Professor, University of Augsburg
Barbara Zwicknagl (2011): “Mathematical analysis of microstructures and low hysteresis shape memory alloys”,
now Junior Professor, University of Würzburg (March 2017)


 PhD theses: 19, currently 4


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