Curriculum vitae Undergraduate student in the Faculty of Science of the University of Trento, Italy.

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1 Curriculum vitae Academic record: Undergraduate student in the Faculty of Science of the University of Trento, Italy. Laurea in Fisica (best possible grade: 30 cum laude), thesis Sistemi di riferimento quantistici [Quantum reference frames], defended on November 16th, 1999 in Trento Ph.D.student at the Department of Mathematics of the University of Trento, Italy. In the period 31/1/ /2/2002 guest of the Professor David Elworthy at the Institute of mathematics of the University of Warwick. In the period 28/4/ /5/2002 guest of Professor Sergio Albeverio at the Institute of applied mathematics of the University of Bonn. In the period 15/9/ /2/2003 Marie Curie fellow at the Institute of applied mathematics of the University of Bonn, with the support of the EU Research Training Network Quantum Probability with Applications to Physics, Information Theory and Biology ( inf.uni greif swald.de/algebra/qp applications/). PhD in mathematics, thesis Feynman path integrals, defended on November the 3 rd 2003 in Trento. In the period 1/2/ /9/2006 research fellow of I.N.d.A.M. (Istituto Nazionale di Alta Matematica), as author of the research project I.D.A. (Functional integration with applications in quantum mechanics and quantum field theory) financially supported by the Provincia Autonoma di Trento. 1/1/ /3/ 2007 Alexander von Humboldt fellow at the Institute of applied mathematics of the University of Bonn. 1/4/ /4/2009 Francesco Severi fellow of I.N.d.A.M. (Istituto Nazionale di Alta Matematica) at the math department of Trento University. 1/8/ /1/2010 Alexander von Humboldt fellow at the Hausdorff Centre for Mathematics, University of Bonn (Germany). 1/5/ /4/2011 research fellow at the department of mathematics of the university of Trento with a 12 month fellowship on functional integration.

2 1/5/ /3/2012 Post-Doc research fellow at CIRM (Centro Internazionale per la ricerca Matematica)-FBK, Trento (Italy) as author of the research project Functional integration with applications to quantum dynamical systems. 1/4/ /6/2012 Alexander von Humboldt fellow at the Hausdorff Centre for Mathematics, University of Bonn (Germany). 15/7/ /8/2013 Post-Doc research fellow at CIRM (Centro Internazionale per la ricerca Matematica)-FBK, Trento (Italy) September 2013-April 2015 assistant professor (fixed term contract) at the department of mathematics of Trento University. Since 1st Mai 2015 assistant professor (tenured track) at the department of mathematics of Trento University. Meetings attended: Summer School in probability, Saint Flour (France), August Stochastic differential equations and related topics, Scuola Normale Superiore Pisa (I), June 2001 Summer School in quantum probability and quantum computation, Trento (I), July Stochastic differential equations and related topics, Oberwolfach (D), October Presentation of a poster. School in evolution semigroups, Levico (TN) (I), November Stochastic differential equations and related topics, Levico (TN) (I), January Presentation of two posters. Workshop Probabilistic methods: classical and quantum dynamical systems, Trento (I), March Invited talk A representation of Belavkin equation via Feynman path integrals. Invited speaker at the workshop Feynman path integrals and related topics, at MSRI University of Berkeley (California), 9-12 December Talk New developments of rigorous Feynman path integrals and application to a stochastic Schrödinger equation. Young Researchers Symposium, in connection with the XIV International Congress of Mathematical Physics, Instituto superiore tecnico, Lisbon, July 2003.

3 Invited speaker at the XIV International Congress of Mathematical Physics, University of Lisbon, July 28 - August 2, Talk Some new developments in Feynman path integrals and applications workshop Kolmororov equations Ennio De Giorgi Center, Scuola Normale Superiore, Pisa, October Invited talk Some new developments in Feynman path integrals. Stochastic differential equations and related topics, Levico (TN) (I), January school Mathematical methods in quantum mechanics February 2005, Bressanone (BZ) Italy. Invited talk New developments of rigorous Feynman path integrals. Invited plenary speaker to the annual meeting of the German Mathematical society, Bonn, September Talk Feynman path integrals as infinite dimensional oscillatory integrals. Invited speaker to the joint meeting UMI-DMV, Perugia, June Invited talk Infinite dimensional oscillatory integrals with polynomially growing phase function. Workshop Probabilistic methods: classical and quantum dynamical systems, Trento (I), November Talk Functional integral construction of the solution of the Schrödinger equation for the inverse quartic oscillator. Invited speaker at the meeting Feynman Path Integrals and their Applications, January 2010, Mathematics department, Swansea University. Invited talk The quartic oscillator: a Feynman path integral approach. Invited speaker at first CIRM-HCM Joint Meeting Stochastic Analysis, SPDEs, Particle Systems, Optimal Transport, January 2010, Levico Terme (Trento), Italy. Invited talk Functional integral representations for the solution of the Schrödinger equation. school Mathematical methods in quantum mechanics February 2011, Bressanone (BZ) Italy. workshop Deterministic and stochastic methods in evolution problems, 7-9 September 2011, Parma, Italy. Invited talk Probabilistic representations for the solution of higher order PDEs. Invited speaker at the meeting Quantum Physics and Bethe Ansatz at the Dublin Institute of Advanced Studies, Dublin 8-10 October Invited talk Feynman path integrals as infinite dimensional oscillatory integrals.

4 Invited speaker at the 2013 Joint Meeting American Mathematical Society - Mathematical Association of America, in the AMS special session on Interplays Between Feynman Operational Calculus, Wiener and Feynman Integrals, Physics and Analysis on Wiener Space, 9-12 January Invited talk Feynman path integrals as infinite dimensional oscillatory integrals. Invited speaker at the colloquium of the Berlin-Brandenburg Sonderforschungbereich Space-Time-Matter in Potsdam (Germany), 5th February Invited talk Feynman path integrals as infinite dimensional oscillatory integrals Conference Stochastic Partial Differential Equations and Applications - IX, Levico (TN), 6-11 January Invited talk Probabilistic representations for the solutions of high order heat-type equations. Speaker at the conference Operator and Geometric Analysis in Quantum Theory, Levico Terme (Trento), September Invited talk Infinite dimensional integration techniques and applications to quantum mechanics. Invited plenary speaker at the Workshop on Path Integral and Pseudo- Differential Operators, RIMS, Kyoto University, 7-10 October Invited talk Feynman Path Integrals as Infinite DImensional Oscillatory Integrals. Invited plenary speaker at the Workshop Feynman integral with harmonic analysis and related topics, NIMS (National Institute for Mathematical Sciences) Daejeon, South Korea, Mayo Invited talk Infinite dimensional integration of oscillatory type and applications. Invited speaker at the Workshop Classic and Stochastic Geometric Mechanics,CIB(CentreInterfacultaireBernoulli),Écolepolytechniquef dŕale de Lausanne, June SInvited talk A probabilistic representation for the solution of high-order heat-type equations. Courses taught: Academic Year 2000/01: Assistant Lecturer (course Geometry 1 (undergrad. Mathematics and Physics)) University of Trento Academic Year 2001/02: Assistant Lecturer (course Ordinary differential equations in Mathematical Physics (undergrad. Mathematics )) University of Trento Assistant Lecturer (course Partial differential equations in Mathematical Physics (undergrad. Mathematics and Physics) University of Trento) Assistant Lecturer (course Rational mechanics (undergrad. Engineering )University of Trento)

5 Academic Year 2002/03: Assistant Lecturer (course Ordinary differential equations in Mathematical Physics (undergrad. Mathematics ) University of Trento) Assistant Lecturer (course Partial differential equations in Mathematical Physics (undergrad. Mathematics and Physics) University of Trento) Assistant Lecturer (course Rational mechanics II (undergrad. Engineering )University of Trento) Academic Year 2003/04: Assistant Lecturer (course Ordinary differential equations in Mathematical Physics (undergrad. Mathematics ) University of Trento) Assistant Lecturer (course Rational mechanics II (undergrad. Engineering ) University of Trento) Academic Year 2004/05: Assistant Lecturer (course Partial differential equations in Mathematical Physics (undergrad. Mathematics and Physics) University of Trento) Assistant Lecturer (course Rational mechanics II (undergrad. Engineering ) University of Trento) Academic Year 2005/06: Assistant Lecturer (course Analysis (undergrad. Mathematics and Physics) University of Trento) Assistant Lecturer (course Rational mechanics II (undergrad. Engineering ) University of Trento) Academic Year 2009/10: Lecturer (course Feynman Path integrals (Ph.D students in Mathematics) University of Trento) Academic Year 2010/11: Assistant Lecturer (course Analysis 2 (undergrad. Engineering ) University of Trento) Academic Year 2011/12: Assistant Lecturer (course Analysis 2 (undergrad. Engineering ) University of Trento) Lecturer (course Complements of mathematical analysis (undergrad. Engineering ) University of Trento) Academic Year 2012/13: Assistant Lecturer (course Analysis 2 (undergrad. Engineering ) University of Trento) Lecturer (course Complements of mathematical analysis (undergrad. Engineering ) University of Trento)

6 Academic Year 2013/14: Lecturer (course Complements of mathematical analysis (undergrad. Engineering )) Academic Year 2014/15: Lecturer (course Analysis 2 (undergrad. Engineering ) University of Trento) Lecturer (with Prof. S. Albeverio) of the course Mathematical theory of Feynman path-integrals (Ph.D students in Mathematics, University of Milan) Refereeing/reviews: Refereeing for Mathematical Physics Electronic Journal, Journal of Differential Equations, J. Phys. A: Math. Theor., J. Math. Phys., Journal of Function spaces and Applications. Reviews for Math Reviews (American Mathematical Society). Member of the editorial board of Frontiers in Mathematical Physics Languages: Italian (mother language), English, German. Partecipation in/coordination of research projects: member of the EU Research Training Network Quantum Probability with Applications to Physics, Information Theory and Biology( inf.uni greif swald.de/algebra/qp applications/) author and coordinator of the individual research project I.D.A.(Functional integration with applications in quantum mechanics and quantum field theory) financially supported by PAT (Provincia Autonoma di Trento) author and coordinator of the individual research project Functional integration with applications in quantum mechanics and quantum field theory, financially supported by the Alexander von Humboldt foundation with an Alexander von Humboldt fellowship author and coordinator of the individual research project Functional integrals and application to quantum theory financially supported by I.N.d.A.M. (Istituto Nazionale di Alta Matematica) with a Francesco Severi fellowship.

7 author and coordinator of the individual research project Functional integration with applications to quantum dynamical systems financially supported by CIRM(Centro Internazionale per la ricerca Matematica)- FBK, Trento (Italy), with a Post-Doc fellowship. Member of Research National Project (PRIN 2002) Equazioni di Kolmogorov, equazioni differenziali stocastiche alle derivate parziali ed applicazioni alla dinamica delle popolazioni e alla teoria dei campi quantistici (nationally directed by Prof. G. Da Prato) Member of Research National Project (PRIN 2004) Equazioni di Kolmogorov, equazioni differenziali stocastiche alle derivate parziali ed applicazioni alla dinamica delle popolazioni e alla teoria dei campi quantistici (nationally directed by Prof. G. Da Prato) Member of Research National Project(PRIN 2006) Equazioni di Kolmororov e applicazioni (nationally directed by Prof. G. Da Prato) Member of Research National Project(PRIN 2008) Problemi di evoluzione: analisi di modelli deterministici e stocastici ed applicazioni (nationally directed by Prof. A. Lunardi) Member of Research National Project (PRIN ) Problemi differenziali di evoluzione: approcci deterministici e stocastici e loro interazioni (nationally directed by Prof. M. Fuhrman). Projects submitted as PI: Futuro in Ricerca (FIRB) Project Integrazione funzionale e applicazioni (Functional integration and applications) Futuro in Ricerca (FIRB) Project Integrazione funzionale e applicazioni ad equazioni di evoluzione (Functional integration and applications to evolution equations).

8 Books: Publications: Albeverio S., Høegh-Krohn R. and Mazzucchi S. Mathematical theory of Feynman path integrals - An Introduction, 2 nd corrected and enlarged edition, Lecture Notes in Mathematics, Vol Springer, Berlin (2008). S. Mazzucchi, Mathematical Feynman path integrals and applications. World Scientific Publishing Co. Singapore (2009). F. Bigolin, S. Mazzucchi, Esercizi di Calcolo Differenziale e Integrale vol.1 Funzioni di una variabile reale. ARACNE editrice (2011) Articles in journals/contributions to books: S. Mazzucchi. On the observables describing a quantum reference frame. J. Math. Phys (2001) S. Albeverio, G. Guatteri, S. Mazzucchi. Phase space Feynman path integrals. J. Math. Phys (2002) S. Albeverio, G. Guatteri, S. Mazzucchi. A representation of the Belavkin equation via Feynman path integrals. Probab. Theory Relat. Fields 125, (2003). S. Albeverio, G. Guatteri, S. Mazzucchi, A representation of the Belavkin equation via phase space Feynman path integrals, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7 (2004), no. 4, S. Albeverio and S. Mazzucchi. Generalized infinite-dimensional Fresnel integrals. C. R. Acad. Sci. Paris 338 n.3, , (2004). S. Albeverio and S. Mazzucchi. Some New Developments in the Theory of Path Integrals, with Applications to Quantum Theory. J. Stat. Phys. 115 n.112, , (2004). S. Albeverio and S. Mazzucchi. Generalized Fresnel integrals. Bull. Sci. Math. 129 (2005), no. 1, S. Albeverio, S. Mazzucchi, Feynman path integrals for polynomially growing potentials J. Funct. Anal. 221 no. 1 (2005),

9 S. Mazzucchi, Feynman path integrals Encyclopedia of Mathematical physics, eds. J.P. Francoise, G.L. Naber and Tsou S.T. Oxford: Elsevier, 2006, (ISBN ), volume 2 page 307. S. Albeverio, S. Mazzucchi, Feynman path integrals for the time dependent quartic oscillator, C. R. Math. Acad. Sci. Paris 341 (2005), no. 10, S. Albeverio, S. Mazzucchi, The time dependent quartic oscillator - a Feynman path integral approach. J. Funct. Anal. 238, (2006) S. Albeverio, L. Cattaneo, L. Di Persio, S. Mazzucchi, A rigorous approach to the Feynman-Vernon influence functional and its applications. I. J. Math. Phys. 48 (2007), no. 10, S. Mazzucchi, Feynman path integrals for the inverse quartic oscillator. J. Math. Phys. 49, (2008) (15 pages). S. Albeverio, S. Mazzucchi. An asymptotic functional-integral solution for the Schroedinger equation with polynomial potential. J. Funct. Anal. 257 (2009), no. 4, S. Albeverio, S. Mazzucchi. Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. From probability to geometry. Volume in honour of the 60th birthday of Jean-Michel Bismut. Astérisque 327 (I), (2009), G. Greco, S. Mazzucchi and E. Pagani, Peano on derivative of measures: strict derivative of distributive set functions. Rend. Lincei Mat. Appl. 21 (2010), S. Mazzucchi. Functional-integral solution for the Schrödinger equation with polynomial potential: a white noise approach. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 14, 4, (2011). S. Mazzucchi, Probabilistic representations for the solution of higher order differential equations. International Journal of Partial Differential Equations, Volume Article ID , 7 pages (2013). S. Bonaccorsi, S. Mazzucchi. High order heat-type equations and random walks on the complex plane. Stochastic Processes and their Applications, Volume 125, Issue 2, February 2015, Pages S. Albeverio and S. Mazzucchi, An introduction to Infinite-dimensional Oscillatory and Probabilistic Integrals. In R. dalang, M. Dozzi, F. Flandoli, F. Russo (editors) stochastic Analysis: A Series of Lectures. p. 1-54, Birkhäuser (2015).

10 S. Albeverio and S. Mazzucchi. Infinite dimensional oscillatory integrals as projective systems of functionals. Journal of the Mathematical Society of Japan Vol. 67, No. 4 (October, 2015), p G.H. Greco, S. Mazzucchi, The Originality of Peano s 1886 Existence Theorem on Scalar Differential Equations. to appear in Journal of Convex Analysis, Volume 23 (2016). Refereed Proceedings: S. Mazzucchi, Some new developments in Feynman path integrals and applications in Proceedings of the XIV International Congress of Mathematical Physics , World Sci. Publ., Hackensack, NJ, S. Albeverio, S. Mazzucchi, Integrali di Cammino di Feynman e Misurazione Quantistica, in Atti del colloqui di Matematica , Note di matematica e fisica, Edizioni Cerfim Locarno, anno 16, vol. 12, , S. Albeverio and S. Mazzucchi, Feynman path integrals for time-dependent potentials. Stochastic Partial Differential equations and Applications Proceedings of the VIII Conference held in Trento, January Edited by G. Da Prato and L. Tubaro. S. Albeverio and S. Mazzucchi, Theory and applications of infinite dimensional oscillatory integrals. in : Stochastic Analysis and Applications, Proceedings of the Abel Symposium 2005 in honor of Prof. Kiyosi Ito, Springer (2006). Albeverio, S. Mazzucchi, A survey on mathematical Feynman path integrals: construction, asymptotics, applications. In: Fauser B., Tolksdorf J. Zeidler E. (eds.) Quantum Field Theory: Competitive Models. Birkauser Boston (2008) pag S. Albeverio, S. Mazzucchi, Infinite dimensional integrals and their asymptotics: some recent developments and applications. In: Proceedings of the conference Stochastic Partial Differential Equations and Applications Levico (TN) S. Albeverio, S. Mazzucchi, The trace formula for the heat semigroup with polynomial potential, in: R.Dalang, M.Dozzi, F.Russo (Editors). Stochastic analysis, random fields and applications VI. Progress in Probability 63, Birkhüser Verlag (2011), 3-21.

11 S. Mazzucchi, Feynman path integrals for quantum open systems. RIMS Kôkyûroku No.1958, Introductory Workshop on Path Integrals and Pseudo- Differential Operators Differential Operators (2015), p S. Mazzucchi, Generalized Feynman-Kac formulae for the solution of high order heat-type equations. RIMS Kôkyûroku No.1958, Introductory Workshop on Path Integrals and Pseudo-Differential Operators Differential Operators (2015), p Preprints: S. Mazzucchi, Infinite dimensional oscillatory integrals with polynomial phase and applications to high order heat-type equations. arxiv: [math.fa] (2014). S. Albeverio and S. Mazzucchi, A unified approach to infinite dimensional integration. arxiv: [math.pr] (2014). G.H. Greco, S. Mazzucchi and E. Pagani. Peano on definition of surface area. arxiv: [math.ho] (2014) Further: Invited author and curator of the article Path integral: mathematical aspects on Scholarpedia: integral: mathematical aspects Invited author and curator of the article Probabilistic integral: mathematical aspects on Scholarpedia: integral: mathematical aspects Collaboration with a group of the medical physics units of the Trento Santa Chiara hospital, and development of a mathematical method for the analysis of particular diagnostic images. The details are described in the paper: L. Menegotti, A. Delana, A. Martignano, V. Vanoni, S. Mazzucchi. 2D dosimetry with Gafchromic EBT: IMRT planning verification. Radiotherapy & Oncology 2006, 81(supplement 1):363. The technique developed in this article has been sold by the authors to an industrial company (ISP World Headquarters, International Specialty Products, 1361 Alps Road, Wayne, New Jersey USA), that has patented and practically implemented it.

Curriculum Vitae. Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy

Curriculum Vitae. Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy Curriculum Vitae Personal informations: Name: Andrea Surname: Pinamonti Born: March 10, 1984 in Trento, Italy Research interests: Subriemannian geometry, Partial differential equations, Geometric measure