Curriculum Vitæ Name Current position Year of Birth 1980 Citizenship Personal Data Ricercatore Confermato at the Mathematics Department of La Sapienza University in Rome, Italy. Italian Phone +39 06 4991 4974 Email Homepage Adress Since 2012 mariani@mat.uniroma1.it http://www1.mat.uniroma1.it/~mariani/ Dipartimento di Matematica Università di Roma La Sapienza Piazzale Aldo Moro, 5 00185 Roma, Italy Research Interests - Qualitative theory of stochastic processes. - Large deviations theory and applications to Statistical Mechanics and Hydrodynamics. - Variational methods in Probability Theory. Education 2008 Ph.D. in Mathematics at Università di Roma La Sapienza. Title of the dissertation: Large Deviations for Stochastic Conservation Laws and their Variational Counterparts. 2003 Laurea (Master degree) in Physics at Università degli Studi di Roma "La Sapienza", 110/110 cum laude. Academic positions Tenured Researcher, Dipartimento di Matematica "Guido Castelnuovo", Università degli Studi di Roma "La Sapienza". 2009 Maître de Conférence (tenured), Laboratoire d Analyse, Topologie, Probabilités (CNRS UMR 6632), Aix-Marseille Universitè. 2008 CNRS postdoc fellowship, mainly at Universitè de Paris Dauphine. 2005-06 Visiting scholar at Courant Institute of Mathematical Sciences, New York University (New York, United States of America). Selected Research Periods and Invitations 1/5
2009-2016 I have been a frequent invited reasearcher at Universitè de Paris VI (2009-2013), Université de Marseille (2013-present), Univerisity of York (2010-present). 03/2016 Stochastic Activity Month, EURANDOM (Eindhoven, Netherlands). 03/2016 Visiting scholar at École de Ponts, Paris (Paris, France). 10/2011 Visiting scholar at Istituto Superior Técnico (Lisboa, Portugal). 09/2011 Visiting scholar at Università di Pisa (Pisa, Italy). 06/2011 Visiting scholar at University of Maryland (College Park, USA). 05-06/2011 Thematic Program Dynamics and Transport in Disordered Systems, Fields Institute of Mathematical Sciences (Toronto, Canada). 03/2011 Visiting scholar at Università di Roma La Sapienza (Rome, Italy). 05-06/2010 Thematic Program Stochastic Partial Differential Equations, Newton Institute of Mathematical Sciences, (Cambridge, United Kingdom). 09-12/2008 Thematic program Mécanique Statistique, Probabilités et Systèmes de Particules, Institut Henri Poincaré (Paris, France). 07/2006 Thematic program Stochastic Analysis, Stochastic Partial Differential Equations and Applications to Fluid Dynamics and Particle Systems, Centro Ennio De Giorgi, Scuola Normale Superiore (Pisa, Italy). Grants membership 2013-14 Local grant Weak KAM techniques and probabilistic techniques for asymptotic analysis for deterministic and stochastic models, principal investigator. 2016- Italian national grant PRIN Large Scale Random Structures, member. 2012-14 Italian national grant PRIN Physical Applications of random fields, member. 2010-13 French national grant ANR-SHEPI Out of equilibrium systems, member. 2008-2010 French national grant UMR-CNRS 7534, member. Scientific Publications - M. Mariani, F. Calogero, Isochronous PDEs, Russian J. Nuclear Phys. 68, No. 5, pp. 899 908 (2005); et Yad. Fiz. 68, No. 5, pp. 935 944 (2005). - F. Calogero, M. Mariani, A modified Schwarzian Korteweg de Vries Equation in 2 + 1 dimensions with lots of isochronous solutions, Phys. Atomic Nuclei 68, No. 10, pp. 1 8 (2005). - M. Mariani, Large Deviations Principles for Perturbed Conservation Laws, Oberwolfach Report 2007-42. - G. Bellettini, F. Caselli, M. Mariani, Some applications of the least squares method to differential equations and related problems, Singularities in nonlinear evolution phenomena and applications, Publications of the Scuola Normale Superiore, CRM Series, Vol. 9, Springer 2009. - G. Bellettini, L. Bertini, M. Mariani, M. Novaga, Γ-entropy cost functional for nonentropic solutions to conservation laws, Arch. Rational Mech. Anal. 195, pp. 261 309 (2010). - M. Mariani, Large Deviations Principle for Stochastic Scalar Conservation Laws, Prob. Th. and rel. Fields, Vol. 146-(3-4), pp. 607 648 (2010). 2/5
- G. Bellettini, F. Caselli, M. Mariani, Quasi-potentials for entropy functionals of scalar conservation laws, J. Funct. Analysis, Vol. 258-2, pp. 534 558 (2010). - G. Bellettini, M. Mariani, Variational convergence of multidimensional conservation laws, Bull. Greek Math. Soc., Vol. 57, pp. 31 45. - R. Lefevere, M. Mariani, L. Zambotti, Large deviations of the current in stochastic collisional dynamics, J. Math. Phys. 52, 033302 (2011). - R. Lefevere, M. Mariani, L. Zambotti, Macroscopic fluctuations theory of aerogel dynamics, J. Stat. Mech. L12004 (2010). - R. Lefevere, M. Mariani, L. Zambotti, Large deviations for renewal processes, Stochastic Process. Appl., 121, 2243 2271 (2011). - R. Lefevere, M. Mariani, L. Zambotti, Large deviations for a random speed particle ALEA, Volume IX (2012). - G. Bellettini, L. Bertini, M. Mariani, M. Novaga, Convergence of the one-dimensional Cahn-Hilliard equation SIAM J. on Math. Analysis, Volume 44, Issue 5 (2012). - M. Mariani, Y. Sire, A variational approach to the inviscous limit of fractional conservation laws, Calculus of Variations and Partial Differential Equations, Volume 46, Issue 3-4 (2013). -, Lorenzo Zambotti, A renewal version of the Sanov theorem, Electronic Communications in Probability, vol. 19 (2014). - M. Mariani, L. Zambotti, Large deviations for the empirical measure of heavy tailed Markov renewal processes, Advances in Applied Probability, Volume 48, Issue 3, (2016). - M. Mariani, A Γ-convergence approach to large deviations, Annali della Scuola Normale - Classe di Scienze (2017, to appear). - G. Di Gesú, M. Mariani, Full metastable asymptotic of the Fisher information, SIAM Journal on Mathematical Analysis (2017, to appear). - Z. Brzeźniak, G. Dhariwal, M. Mariani, Constrained Navier-Stokes Equations, J. Diff. Equations (2017, to appear). - C. Landim, M. Mariani, I. Seo, A Dirichlet and a Thomson Principle for non-selfadjoint elliptic operator: metastability in non-reversible diffusion processes (2017, submitted paper). - Z. Brzezniak, G. Dhariwal, J. Hussain, M. Mariani, Stochastic and deterministic constrained partial differential equations (2017, submitted paper). Selected Seminars 03/2016 Probability Seminar, Université de Lyon (Lyon, France). 02/2016 Analysis Seminar, University of Bath (Bath, United Kingdom). 06/2015 GLOBUS Seminar, Moscow. 02/2014 Probability and Finance seminar, University of York (York, United Kingdom). 02/2013 Probability seminar, Université de Clermont-Ferrand (Clermont-Ferrand, France). 02/2012 Probability seminar, University of Warwick (Coventry, United Kingdom). 01/2012 Séminaire de Probabilité, Université de Paris VI - Pierre et Marie Curie (Paris, France). 12/2011 Seminario di Dipartimento, Università di Roma La Sapienza (Rome, Italy). 11/2011 Probability seminar, University of York (York, United Kingdom). 3/5
10/2011 Analysis seminar, Istituto Superior Técnico (Lisboa, Portugal). 10/2011 Seminario di Probabilità, Università di Bologna (Bologna, Italy). 10/2011 Seminario di Probabilità, Università di Pisa (Pisa, Italy). 06/2011 Séminaire de Probabilité, Laboratoire Deudonné (Nice, France). 05/2011 Probability seminar at Oxford-Man Institute, Oxford University and Man Corporation (Oxford, UK). 12/2010 Séminaire de Probabilité, École Normale Supérieure (Lyon, France). 06/2010 Invited talk at Newton Institute of Mathematical Sciences (Cambridge, UK). 05/2010 Invited talk at Newton Institute of Mathematical Sciences (Cambridge, UK). 11-12/2009 Short course at Centre de Mathématiques et Informatique (Marseille, France). 10/2009 Séminaire de Probabilité, Centre de Mathématiques et Informatique (Marseille, France). 04/2009 Seminario di Probabilità (Sapienza Università di Roma, (Rome, Italy). 11/2008 Séminaire de Probabilité, École Normale Supérieure (Lyon, France). 06/2008 Exposé de Probabilité, Institut Henri Poincaré (Paris, France). 10/2007 Seminario di Fisica Matematica, Università di Roma Torvergata (Rome, Italy). Selected Conference Communications 09/2016 First Joint Meeting Brazil Italy in Mathematics, (Rio de Janeiro, Brazil). 03/2016 Variational Aspects of Particle Systems and Differential Equations (Eindhoven, Netherlands). 09/2015 Rencontres de Physique Théorique (Nice, France). 06/2015 Statistical mechanics and computation of large deviation rate function (Lyon, France). 01/2014 Stochastic Partial Differential Equations and Applications (Levico, Italy). 06/2013 Kinetic Description of Multiscale Phenomena (Heraklion, Greece). 09/2012 Stochastic methods and nonlinear PDEs (Cardiff, United Kingdom). 06/2011 Invited sessions at Stochastic Processes and Applications 2011 (Oaxaca, Mexico). 06/2010 Nonlocal operators and partial differential equations, MRCC-Banach Center (Bedlewo, Poland). 05/2010 Invited session at Congrès CANUM 2010 (Carcans-Maubuisson, France). 05/2009 Rencontres de Probabilités 2009 (Rouen, France). 03/2009 Spring School Analytical and Numerical Aspects of Evolution equations (Berlin, Germany). 01/2009 Inhomogeneous Random Systems (Paris, France). 12/2008 Statistical Mechanics, (Paris, France). 10/2008 Interacting particle systems and percolation (Paris, France). 09/2008 Fall school Random media, phase transitions and information theory (Paris, France). 06/2008 3rd La Pietra Week in Probability, New York University (La Pietra, Italy). 05/2008 Rencontres de Probabilité 2008 (Rouen, France). 02/2008 From Dynamical Systems to Statistical Mechanics (Luminy, France). 10/2007 XXXII Summer School in Mathematical Physics (Ravello, Italy). 08/2007 Large Scale Stochastic Dynamics (Oberwolfach, Germany). 4/5
06/2007 Stochastic Dynamics in France (Paris, France). 06/2007 Fifth meeting on Hyperbolic Conservation Laws: Recent results and Research perspectives (Trieste, Italy). 12/2006 Recent Advances on the Perona Malik Equation (Pisa, Italy). 10/2006 Dynamical Systems: Classical, Quantum and Stochastic (Rome, Italy). 10/2006 Workshop on Microscopic Approaches to Elastic and Surface Tension Functionals (Rome, Italy). 07/2006 Stochastic Fluid Mechanics (Pisa, Italy). 05/2006 5-Days Conference in Honor of Percy Deift s 60th birthday (New York, USA). 11/2005 Northeast Probability School (New York, USA). 11/2005 Lax-Niremberg Conference (New York, USA). 08/2005 SPDEs in hydrodynamics: recent progress and prospects (Cetraro, Italy). 04/2005 Around Kinetic and Hyperbolic equations 3 (Rome, Italy). 05/2004 50 years since Fermi-Pasta-Ulam (Rome, Italy). 09/2003 Statistical Mechanics And Applications (Rome, Italy). Awards 2009 Start up Prize for Young Researcher (France). 2003 Enrico Persico prize, awarded by Accademia dei Lincei (Italian Science Academy). 5/5