CURRICULUM VITAE ET STUDIORUM. Emanuele Dolera

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1 CURRICULUM VITAE ET STUDIORUM Emanuele Dolera PERSONAL STATEMENT Place and date of birth: Lodi, Italy. December 7 th, 1982 Nationality: Italian Address: via Dossena 2, Lodi, Italy emanuele.dolera@unimore.it, emanuele.dolera@unipv.it, dolera.emanuele@libero.it EMPLOYMENT Role: Assistant Professor in Probability and Mathematical Statistics (S.S.D. MAT06) Period: from December 2010 up to now Institution: Università degli Studi di Modena e Reggio Emilia, Dipartimento di Scienze Fisiche, Informatiche e Matematiche Address: Via Campi 213/b, Modena (MO), Italy Telephone: (+) , (+) GRADUATE STUDIES - Ph.D. in Mathematics and Statistics, Università degli Studi di Pavia, Italy ( ). Ph.D. Thesis: Rapidity of convergence to equilibrium of the solution of the Boltzmann equation for Maxwellian molecules. Advisor: prof. Eugenio Regazzini - I.U.S.S. Master, Scuola Universitaria di Studi Superiori I.U.S.S. di Pavia, Italy (2006). Master Thesis: Condizioni minime per la convergenza all equilibrio per le soluzioni dell equazione di Kac. Advisor: prof. Eugenio Regazzini UNDERGRADUATE STUDIES 1

2 - Degree (Second Level) in Mathematics cum laude, Università degli Studi di Pavia, Italy ( ). Degree Thesis: Applicazione del teorema centrale del limite all analisi della velocità di convergenza all equilibrio della soluzione dell equazione di Kac, nella metrica della variazione totale. Advisors: prof. Eugenio Regazzini, prof. Ester Gabetta - Degree (First Level) in Mathematics cum laude, Università degli Studi di Pavia, Italy ( ). Degree Thesis: Su un estensione della formula di Feynman-Kac, in relazione alla valutazione di opzioni corridoio. Advisor: prof. Eugenio Regazzini ACADEMIC DISTINCTIONS AND PRIZES - Invited speaker, XIX UMI congress, Bologna Invited plenary speaker, Workshop: Classical and Quantum Mechanical Model of Many-Particle Systems, Oberwolfach Luigi Berzolari Prize, awarded by Università degli Studi di Pavia, Pavia Bruno de Finetti Prize, awarded by Accademia dei Lincei, Roma 2007 GRANTS : PRIN-MIUR 2008MK3AFZ, associated investigator for the local unit in Pavia (Main investigator: prof. Eugenio Regazzini) present: PRIN-MIUR 2012AZS52J-001, associated investigator for the local unit in Pavia (Main investigator: prof. Mario Pulvirenti) SCIENTIFIC RESEARCH My scientific research has been mainly devoted to the following fields - Evaluation of the rate of relaxation to equilibrium for Boltzmannequation solutions, by probabilistic arguments - Existence and uniqueness theorems for solution of the Boltzmann equation - Mathematical validity of Boltzmann s equation and propagation of chaos in different N-particle dynamics - Refinements of inequalities of Berry-Esseen-type, concerning the error in approximating the probability law of a normalized sum of (conditionally) independent random variables by the normal law 2

3 - Evaluation of the probability law of non-linear functionals of the Ferguson- Dirichlet process - Bayesian consistency and stability of the posterior distribution with respect to the data, especially in a non-parametric context - Time-series analysis of statistical data concerning the working of tractors - Statistical analysis, of frequentist type, of data concerning the γ-ray astronomy - Study of the concept of self-organization critically of statistical mechanical, via the analysis of sand-pile models LIST OF PUBLICATIONS PREPRINTS - Dolera, E. (2013). A generalization of a theorem by Wilks. - Dolera, E. (2013). Mathematical treatment of the homogeneous Boltzmann equation for Maxwellian molecules in the presence of singular kernels. ArXiv: ACCEPTED PAPERS - Dolera, E. e Regazzini, E. (2013). Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions. Prob. Theory Relat. Fields DOI /s z PUBLISHED PAPERS - Dolera, E. (2013). Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law. J. Inequal. Appl. 2013:320 - Dolera, E. (2013). Su una proprietà asintotica della distribuzione finale. Bollettino U.M.I. (9) VI - Dolera, E. (2012). Spatially homogeneous Maxwellian Molecules in a Neighborhood of the Equilibrium. Ist. Lombardo Rend. Sci., 145, Dolera, E. (2011). On the computation of the spectrum of the linearized Boltzmann collision operator for Maxwellian molecules. (Dedicated to the memory of Carlo Cercignani). Bollettino U.M.I. (9) IV (2011),

4 - Dolera, E. (2010). Rapidity of convergence to equilibrium of the solution of the Boltzmann equation for Maxwellian molecules. SCI- ENTIFICA ACTA, 4 (2010), Dolera, E. and Regazzini, E. (2010). The role of the central limit theorem in discovering sharp rates of convergence to equilibrium for the solution of the Kac equation. The Annals of Applied Probability, 20, Dolera, E., Gabetta, E. and Regazzini, E. (2009). Reaching the best possible rate of convergence to equilibrium for solutions of Kac s equation via central limit theorem. The Annals of Applied Probability, Dolera, E., Giusfredi, F. and Rizza, A. (2007). Nota et ignota: Problems and Desiderata in the Constitution of e-corpora. Chatreššar 2007, P. Zemánek, J. Gippert, H. C. Luschützki, (eds.), Electronic Corpora of Ancient Languages: Proceedings of the International Conference, Prague, November 16-17, 2007 CONFERENCE PROCEEDINGS - Dolera, E. (2010). New probabilistic methods for spatially homogeneous Maxwellian molecules. Oberwolfach Reports, 54 (2010), TECHNICAL REPORTS - Dolera, E. and Regazzini, E. (2010). Probabilistic interpretation of the solution of the Boltzmann equation for Maxwellian molecules. 11PV10/11/0 IMATI-CNR Pavia. - Dolera, E. (2009). Una interpretazione dell indice di cograduazione. 21PV09/17/0 IMATI-CNR Pavia. - Dolera, E. (2009). Qualche considerazione sul confronto di indici statistici. 22PV09/18/0 IMATI-CNR Pavia. INVITED LECTURES - On a probabilistic representation of McKean-type for Spatially Homogeneous Maxwellian Molecules. XIV Arrabida Meeting Statistical Dynamics of Complex Systems, Arrabida (Portugal). July 1-4,

5 - Reaching the best possible rate of convergence to equilibrium of Boltzmannequation solutions. Instituto Superior Técnico, Lisbon (Portugal). June 27 th, Su una proprietà asintotica della distribuzione finale. XIX convegno UMI, Bologna (Italy). September 12-17, The role of exchangeability in the mathematical validity of the Boltzmann equation. CIRM Meeting Probabilistic methods in kinetic theory, Luminy (France). July 11-15, New probabilistic methods for spatially homogeneous Boltzmann equation for Maxwellian molecules. Oberwolfach Seminar Classical and Quantum Mechanical Models of Many-Particle Systems, Oberwolfach (Germany). December 5-10, Optimal rates of convergence to equilibrium for low-dimensional Maxwellian molecules. Lisbon Meeting Kinetics and Statistical methods for complex particle systems, Lisbon (Portugal). July 20-24, Bayesian consistency and classical form of the problem of inverse probabilities (Co-author, speaker E. Regazzini). VII International Workshop on Bayesian Non-Parametrics, Moncalieri (Italy). June 21-25, The role of the central limit theorem in discovering rates of convergence to equilibrium for the solution of the Kac equation. Mantova Meeting Kinetic equations: direct and inverse problems, Mantova (Italy). May 15-18, Applicazione del teorema centrale del limite all analisi della convergenza all equilibrio per la soluzione dell equazione di Kac. XVIII convegno UMI, Bari (Italy). September 24-29, 2007 OTHER INFORMAL LECTURES - L eredità di Boltzmann: Caos, Entropia e Meccanica Statistica. Lecture for high school students. Università degli Studi di Modena e Reggio Emilia, Modena (Italy). November 13 th, 2012 ADVANCED COURSES - Matematical Statistics. SMI Summer School, Perugia (Italy). August 19-30, Foundation of Probability. Course for high school teachers. Università degli Studi di Modena e Reggio Emilia, Modena (Italy). April,

6 TEACHING ACTIVITY My teaching activity has been concerned with the teaching in the following courses at the Università degli Studi di Modena e Reggio Emilia. - Modelli Probabilistici. Laurea Magistrale Matematica, academic year 2013/14 - Catene di Markov (Exercises). Laurea Triennale in Metematica e Informatica, academic year 2013/14 - Processi Stocastici. Laurea Magistrale Matematica, academic year 2013/14 - Catene di Markov (Exercises). Laurea Triennale in Metematica e Informatica, academic year 2012/13 - Statistica con Elementi di Probabilità. Laurea Triennale Informatica, academic year 2012/13 - Processi Stocastici. Laurea Magistrale Matematica, academic year 2012/13 - Statistica con Elementi di Probabilità. Laurea Triennale Informatica, academic year 2011/12 - Teoria delle Funzioni. Laurea Triennale Matematica, academic year 2011/12 DEGREE THESIS (ADVISOR) Cosimo Fiorini (2012), Cecilia Boschini (2012), Enrico Ferri (2012), Lorenzo Diazzi (2012), Andrea Guglielmi (2013). 6