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| 1987 | Diploma in Mathematics, University of Bonn | | 1989 | PhD, Heriot-Watt 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 |
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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 phase-transforming materials. Results include a qualitatively new homogenization formula in nonlinear elastic materials, the first rigorous understanding of dimension reduction in nonlinear elasticity [1,2], and rigorous scaling laws for branching near austenite / martensite interfaces [3]. Implications for material design, e.g., for low-hysteresis shape memory alloys are explored in [4]. 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 [5].
Recent and ongoing work addresses the influence of microscopic defects on effective material behaviour, e.g. in plasticity [6,7] as well as scaling levels and pattern formation in thin elastic sheets [8]. In both areas the rigidity estimates of [2] 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.
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Coordinator of the DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”
Principal Investigator of the DFG Cluster of Excellence “Hausdorff Center for Mathematics”
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[ 1] Gero Friesecke, Richard D. James, Stefan Müller
A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
Arch. Ration. Mech. Anal. , 180: (2): 183--236
2006
DOI: 10.1007/s00205-005-0400-7[ 2] Gero Friesecke, Richard D. James, Stefan Müller
A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
Comm. Pure Appl. Math. , 55: (11): 1461--1506
2002
DOI: 10.1002/cpa.10048[ 3] Robert V. Kohn, Stefan Müller
Surface energy and microstructure in coherent phase transitions
Comm. Pure Appl. Math. , 47: (4): 405--435
1994
DOI: 10.1002/cpa.3160470402[ 4] Zhiyong Zhang, Richard D. James, Stefan Müller
Energy barriers and hysteresis in martensitic phase transformations
Acta Materialia , 57: (15): 4332--4352
2009[ 5] S. Müller, V. Sverak
Convex integration for Lipschitz mappings and counterexamples to regularity
Ann. of Math. (2) , 157: (3): 715--742
2003
DOI: 10.4007/annals.2003.157.715[ 6] Sergio Conti, Adriana Garroni, Stefan Müller
Dislocation microstructures and strain-gradient plasticity with one active slip plane
J. Mech. Phys. Solids , 93: : 240--251
2016
DOI: 10.1016/j.jmps.2015.12.008[ 7] Stefan Müller, Lucia Scardia, Caterina Ida Zeppieri
Geometric rigidity for incompatible fields, and an application to strain-gradient plasticity
Indiana Univ. Math. J. , 63: (5): 1365--1396
2014
DOI: 10.1512/iumj.2014.63.5330[ 8] Stefan Müller, Heiner Olbermann
Conical singularities in thin elastic sheets
Calc. Var. Partial Differential Equations , 49: (3-4): 1177--1186
2014
DOI: 10.1007/s00526-013-0616-6[ 9] Olga Dmitrieva, Patrick Dondl, Stefan Müller, Dierk Raabe
Lamination microstructure in shear deformed copper single crystals
Acta Materialia , 57: (12): 3439--3449
2009[ 10] Antonio DeSimone, Robert V. Kohn, Stefan Müller, Felix Otto
A reduced theory for thin-film micromagnetics
Comm. Pure Appl. Math. , 55: (11): 1408--1460
2002
DOI: 10.1002/cpa.3028 |
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• Archive of Rational Mechanics and Analysis
• Control, Optimisation and Calculus of Variations
• Forum of Mathematics, Pi and Sigma
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| 1992 | Prize of the European Mathematical Society | | 1993 | Max Planck Research Award (jointly with V. Sverák) | | 1999 | Member of the Berlin-Brandenburg 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 Rhine-Westphalian Academy of Sciences, Humanities and the Arts | | 2015 | Member of the Academia Europaea | | 2017 | Teaching Award University of Bonn | | 2018 | Member of the European Academy of Sciences |
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| 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 |
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Bernd Kirchheim (2001), now Professor, University of Leipzig
Georg Dolzmann (2002), now Professor, University of Regensburg
Sergio Conti (2004), now Professor, University of Bonn
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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 Rank-One 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
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- PhD theses: 20, currently 4
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