Andrea Braides

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Curriculum Vitae

Nato a Udine (Italia) il 12 Aprile 1961 Posizioni accademiche: Dal 2000: professore ordinario di Analisi Matematica presso l'Universita' di Roma `Tor Vergata' 1995-2000 professore associato presso la SISSA, Trieste 1992-95 professore associato presso l'Universita' di Brescia 1988-92 ricercatore presso l'Universita' di Brescia 1985-86 professore a contratto presso l'Universita' di Udine Istruzione: 1979-83; Laurea in Matematica presso l'Universita' di Pisa e Diploma presso la Scuola Normale Superiore of Pisa (relatore: E. De Giorgi) 1983-85: perfezionamento presso la Scuola Normale Superiore (supervisore: E. De Giorgi) 1990-91: post-doc presso la Heriot-Watt University (coordinatore: JM Ball) Altri incarichi accademici: Dal 2001: membro del comitato del `Dottorato in Modelli e Metodi Matematici per la Tecnologia e la Societa', Universita' di Roma `La Sapienza' 2003/04: coordinatore locale del PRIN `Calcolo delle variazioni' (coordinatore L. Ambrosio, SNS, Pisa) 2004/08: membro del progetto EU MULTIMAT (coordinatore D. Schryvers) 2006/08 e 2009/12: coordinatore locale del PRIN `Problemi variazionali con scale multiple' (coordinatore G.Dal Maso, SISSA, Trieste) Interessi di ricerca: Teoria generale della Gamma-convergenza Gamma-convergenza di funzionali del calcolo delle variazioni passaggio dal discreto al continuo semicontinuita' e rilassamento per funzionali integrali omogeneizzazione equazioni ellittiche quasilineari problemi con discontinuita' libere insiemi di perimetro finito meccanica della frattura teorie variazionali della visione computerizzata problemi di Dirichlet rilassati teorie matematiche di strutture sottili percolazione Pubblicazioni (a gennaio 2012) Articoli 108 lavori su riviste internazionali 2 capitoli di libri 4 Monografie: A. Braides and A. Defranceschi. Homogenization of Multiple Integrals. Oxford University Press, Oxford, 1998. A. Braides. Approximation of Free-Discontinuity Problems. Lecture Notes in Math. 1694, Springer Verlag, Berlin, 1998. A. Braides. Gamma-convergence for Beginners. Oxford University Press, Oxford, 2002. A. Braides and V. Chiad\`o Piat (editors) Topics on concentration phenomena and problems with multiple scales. Lecture Notes of the Unione Matematica Italiana 2. Springer-Verlag, Berlin, 2006. Organizzazione di convegni e scuole 1992, March 2-6 Workshop "New Approaches to Fracture Mechanics" Edinburgh, Heriot-Watt University (conh J.M.~Ball (Heriot-Watt) and J.~Willis (Oxford)) 2001, Dec 3-5: School `Homogenization techniques and asymptotic methods for problems with multiple scales' (IAC - Roma) - Corsi di G. Francfort e R. Peirone 2003, Sept 1-5: School `Concentration Phenomena for Variational Problems' (Dipartimento di Matematica, Universita' di Roma `La Sapienza') - Corsi di G. Alberti, A. Garroni. D. Smets e M. Soner. 2004, Jan 26-28: School `Geometric Evolution Problems' (Roma). Corsi di G. Bellettini e S.Serfaty. 2004, May 24-26: Mini-symposium `Homogenization of Lattice Systems'. SIAM Conference on `Materials Science' (Los Angeles). Conferenze di W.E, A.Lew, Y.Efendiev, M.Cicalese 2005, Sept 12-16 `Second Summer School Analysis and Applied Mathematics'. Corsi di P.Cardaliaguet, C.De Lellis, G.Huisken and C.Sinestrari 2007, June 11-15 `Fourth Summer School on Analysis and Applied Mathematics'. (Rome) Lectures by JM. Ball, S. Muller, V. Sverak. 2008, May 11-14: Mini-symposium `From Discrete to Continuous, and back'. SIAM Conference on `Materials Science' (Philadelphia) 2008, June 9-11 `Wokshop on Applied Mathematics and Calculus of Variations' (Rome) 2011, June 20-24 `Sixth Summer School on Analysis and Applied Mathematics' (Rome) Lectures by A. De Simone, M. Ortiz, A. Quarteroni. Membro dell'Organizing Committee CMDS -13: International Conference Continuum Models and Discrete Systems. Salt Lake City June 2014 Tesi di dottorato (relatore) R. Alicandro. Approximation of Free-Discontinuity Problems (SISSA, 1999); M.S. Gelli. Variational Limits of Discrete Systems (SISSA, 1999); N. Ansini. Homogenization of Structures with Multiple Scales (SISSA, 2000). M. Cicalese. Multi-scale analysis for variational problems arising from discrete systems(University of Naples `Federico II', 2003). C.I. Zeppieri. Asymptotic expansions for variational theories (University of Rome `La Sapienza', 2006) L. Sigalotti. Asymptotic analysis of discrete systems with complex interfacial interactions (University of Rome `La Sapienza' 2010) G.Scilla (University of Rome `La Sapienza', in progress) Posizioni di professore visitatore 1994. Tata Institute of Fundamental Research, Bangalore (India) 1998. Max-Planck Institut, Leipzig; Centre Emile Borel, Paris; Department of Aerospace Engineering and Mechanics, University of Minnesota; California Institute of Technology 1999: Carnegie-Mellon University, Pittsburgh; Isaac Newton Institute, Cambridge (UK) 2000. University Pierre et Marie Curie - Paris VI 2001. University Pierre et Marie Curie - Paris VI 2002. University Paris Nord - Paris XIII 2003. California Institute of Technology; Carnegie-Mellon University, Pittsburgh; INSA, Rennes 2004. California Institute of Technology; Stanford University; Tata Institute of Fundamental Research, Bangalore (India) 2007 Benasque Center, Spain 2008 Narvik University, Norway, California Institute of Technology, IMA, Minneapolis 2011 Bonn University, University of Bath Attivita' di referaggio. Acta Mathematica Annali della Scuola Normale Superiore di Pisa, Archive for Rational Mechanics and Analysis, Asymptotic Analysis, Communications in Pure and Applied Mathematics, Control, Optimization and Calculus of Variations, ESAIM: Mathematical Modelling and Numerical Analysis Indiana University Mathematical Journal, Interfaces and Free Boundaries, Journal de l'Institute Henri Poincar'e - Analyse Nonlin'eaire, Journal de Math'ematiques Pures et Appliqu'ees, Journal of Convex Analysis, Journal of Elasticity, Journal of Mathematical Analysis and Applications, Journal of Nonlinear Mathematical Physics, Journal of Nonlinear Sciences, Proceedings of the Royal Society of Edinburgh A, Rendiconti di Matematica, SIAM Journal of Mathematical Analysis. Book reviews per Springer-Verlag e Oxford University Press. Attività editoriale Editorial Board. Encyclopedia of Mathematical Physics. Elsevier, 2006 Associate Editor. Networks and Heterogeneous Media. Advisory Board. Mathematics and Mechanics of Complex Systems. Corsi a scuole Sept 6-17, 1993: "School on Homogenization" (Trieste, I.C.T.P.) - Corso: An Introduction to Homogenization and Gamma-Convergence (altri corsi diAllaire, Buttazzo, Defranceschi and Gibianski) July 15-Aug 15, 1994 Corso "Topics in Gamma-convergence" (Tata Institute of Fundamental Research - 9 conferences). May 8-10, 1996: mini-corso su "Homogenization of Differential operators and Integral Functionals" (Roma, Dip. Me. Mo. Mat.) (con A. Pankov) June 15, 1999 `Nuovi modelli variazionali in meccanica della frattura' (Ferrara - Scuola di dottorato in Ingegneria civile) Sept 17-21, 2001 - Scuola `Homogenization techniques and asymptotic methods for problems with multiple scales' (Dip. Mat. Politecnico - Torino) - Corso `From discrete to continuous variational problems: an introduction' July 15-Aug 9, 2004 - Corso `From Discrete Systems to Continuous Variational Problems' (Tata Institute for Fundamental Research, Bangalore) Oct 26-30, 2004 - MULTIMAT Meeting (Leipzig) - The relation between discrete and continuous variational problems May 16-20 2005 - VIGRE Course (Utah University) `The passage from discrete systems to continuous variational problems' May 23-27 2005 - Recent Advances in Homogenization `Homogenization of Lattice Systems' (altri corsi di by M.Bardi, L.Caffarelli, P.L.Lions, P.Souganidis) Oct-Nov 2011. Politecnico, Torino. From Discrete Systems to Continuum Variational Problems (15 hore - corso di dottorato) Jan 2012. Wuerzburg Univ. School Calculus of Variations in Physics and Materials Science. `From Discrete Systems to Continuum Problems' (altri corsi di by JM. Ball e S. Mueller) Alcune recenti conferenze su invito a congressi: June 8-11 2005 Materials and macromolecules (IMA, Minneapolis, USA ) - "Simple lattice systems with complex continuous description" June 30-2 July 2005 The Rational Modeling of Materials and Structures (Univ. Reggio Calabria) - "Relaxation and unilateral constraints" July 18-22 2005 Dynamical Problems in Mathematical Materials Science (ICMS, Edinburgh, Scotland) - "Anti-phase boundaries in simple lattice systems" Oct 31- Nov 4 2005 Transport and Flow Through Complex Systems (Oberwolfach (Germany)) - "A model for a weak membrane with defects" Jan 19-21 2006 "Modelling and analysis of phase transitions" (Centro De Giorgi, Pisa) - Multi-scale analysis of a prototypical model for the interaction between oscillations and phase transitions Oct 10-14, 2006 "Variational Methods in Material Science" (Centro De Giorgi, Pisa) Asymptotic analysis of binary discrete systems Oct 16-18 2006. Rome 2. Workshop on Microscopic Approaches to Elastic and Surface Tension Functionals. Gamma-convergence of discrete systems Oct 26-28 2006. Rome-CNR. ``Smart-Systems". The use of Gamma-convergence in the study of asymptotic problems. Aug 27-Sep 7, 2007. Benasque (S) ``Partial differential equations, optimal design and numerics". The construction of asymptotic theories by Gamma-convergence. Sept 10-14, 2007, INdaM, Rome ``School on Probablility: De Ludo Aleae''. Variational Problems with percolation Dec 17-21, 2007. Oberwolfach (G) Conference ``Mathematical Materials Theories''. The use of Gamma-convergence in the analysis of multiscale problems Jan 12-14, 2008. CISM, Udine. ``Mathematical Modeling, Mechanics & Materials''.The use of Gamma-convergence in the analysis of multiscale problems Mar 10, 2008. OxMOS, Oxford (UK). ``Workshop on Fracture''. Variational lattice models of fracture Apr 28, 2008. Oberwolfach (D) ``Atomistic Models of Materials: Mathematical Challenges''. Motion of discrete interfaces May 12, 2008: SIAM Conference on `Materials Science' (Philadelphia). The Use of Gamma-convergence in the Analysis of Multiscale Problems May 14, 2008: SIAM Conference on `Materials Science' (Philadelphia). Motion by Curvature in Heterogeneous Media Nov 5, 2008: IMA, Minneapolis. Workshop `Development and Analysis of Multiscale Methods'. Variational coarse graining of lattice systems June 26, 2009. Anogia (Greece). Workshop `Mathematical challenges motivated by multi-phase materials'. Stochastic and deterministic analysis of models of defects in discrete systems July 8, 2009. PIMS, University of British Columbia, Vancouver (Canada). Conference `Asymptotic analysis in the calculus of variations and PDEs'. Asymptotic analysis of discrete systems December 7-9, 2009. `Atomistic Models of Solids Workshop', Oxford. Asymptotic analysis of discrete systems September 7-9, 2010. The Royal Netherlands Academy of Arts and Sciences, Amsterdam. Conference `Multi-scale problems in sustainable resource management'. Multi-scale problems for lattice systems. April 15, 2011. Politecnico di Torino. One day on PDE's an calculus of variations. Conference `Asymptotic problems for lattice systems' May 23-28, 2011. Ile de Re (France). Workshop on Dislocations, Ginzburg-Landau equations and Homogenization Homogenization of Lattice Systems. May 30-June 3, 2011. BIRS, Banff (Canada). Workshop `Gradient Random Fields'. Variational problems with percolation Dec 8, 2011. Oberwolfach (D). ``Variational Methods for Evolution''. Analysis of Lennard-Jones interactions in 2D. Altri inviti come conferenziere principale: Keynote speaker. ISIMM 2012 - STAMM XVIII Symposium. September 3-6, 2012,Technion, Haifa, Israel. Plenary lecturer at the 89-th annual meeting of GAMM (The International Association of Applied Mathematics and Mechanics) March 18th-22th, 2013, Novi Sad, Serbia