Fabio Pizzichillo Curriculum Vitae Personal data Date of birth: December 23 th, 1989 Place of birth: Trani, Italy Current position Dec - Present Postdoctoral Fellow, BCAM - Basque Center for Applied Mathematics, Bilbao, Research line, Analysis of PDEs, Linear and Non-Linear Waves. Education 2014 Ph.D. in Mathematics, BCAM - Basque Center for Applied Mathematics, 2013 2014 Master s Degree in Mathematics, Università degli studi di Bari, Italy. 2008 2012 Bachelor s Degree in Mathematics, Università degli studi di Bari, Italy. PhD Thesis Supervisor Singular perturbations for the Dirac Hamiltonian. Prof. Luis Vega González. In this thesis we study the problem of the self-adjointess of some singular perturbation of the Dirac operator and we give spectral properties. Master s Thesis Supervisors Linear and non-linear damped wave equations. Prof. Sandra Lucente and Prof. Michael Reissig. In this thesis we prove theorem about existence, uniqueness and decay behaviour of small data solution for some semi-linear damped wave models. Bachelor s Thesis Supervisor Spectral theorem for compact operators and applications to PDEs. Prof. Lorenzo D Ambrosio. In this thesis we studie spectral theorem for compact operators and we apply this method to give representation formulas of solution for certain equations. BCAM - Basque Center for Applied Mathematics 1/5
January 2018 March January October 2016 June 2016 February 2016 October 2015 July 2015 April 2015 March 2015 Attended schools and workshops Weak solutions for the incompressible Euler equations, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Dr. Stefano Scrobogna. An Introduction to Operator Semigroups, Course for in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Eighth itinerant workshop in PDE s, Workshop, BCAM - Basque Center for Applied Mathematics, Bilbao, Layer potential methods, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Dr. Pedro Caro Primer congrés predoc, Workshop, Universtitat de València, Valencia, Second Summer School on harmonic analysis and PDE s, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Functional calculus of operators, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Bilbao meeting on Analysis and PDE s, Workshop, BCAM - Basque Center for Applied Mathematics, Bilbao, Geometrical Aspects of Spectral Theory, Workshop, BCAM - Basque Center for Applied Mathematics, Bilbao, Mathematical Challenges in Quantum Mechanics, Workshop, Bressanone, Italy. Algebraic Topology of Varieties, Course in Analysis, UPV / EHU - Universidad del País Vasco / Euskal Herriko Unibertsitatea, Bilbao, Prof. Javier Fernández de Bobadilla. First summer school on harmonic analysis and PDE s, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, A Short Introduction into the Fluid Dynamics, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Prof. Denys Dutykh. Introduction to Pseudo-differential Calculus, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, March 2015 An Introduction to Dispersive Equations, Course in Analysis, BCAM - Basque Center for Applied Mathematics, Bilbao, Prof. Luis Vega. January 2015 Sixth itinerant workshop in PDE s, Workshop, SISSA - Scuola Internazionale Superiore degli Studi Avanzati, Trieste, Italy. BCAM - Basque Center for Applied Mathematics 2/5
November 2013 August 2013 March - May 2011 October September September May July 2015 June 2014 Basic P.D.E. and Applications, Course for Master and PhD student, Università degli studi di Bari, Italy. Prof. Michael Reissig. S.M.I - Scuola Matematica Interuniversitaria, Università degli studi di Perugia, Perugia, Italy. Fourier Analysis and PDE, Tutorial for students, Università degli studi di Bari, Bari, Italy. Prof. Luca Fanelli. Presentations Klein s paradox, Seminario di Analisi, Politecnico di Torino, Torino, Italy. The Plemelj jump formula for Singular Integral Operators on shrinking domains, APDE Working Group, BCAM - Basque Center for Applied Mathematics, Bilbao, Klein s paradox, Prairie Analysis Seminar, Kansas State University, Manhattan, Kansas, USA. La interacción relativista de tipo δ-shell por el operador de Dirac en R 3 y la paradoja de Klein, IV Congreso de Jóvenes Investigadores RSME, Session of Harmonic Analysis and PDE, Universtitat de València, Valencia, Klein s paradox, Groupe de travail, Problèmes spectraux et physique mathématique, Université de Paris-Sud, Paris, France. Klein s paradox and the relativistic δ-shell interaction, Primer congrés predoc, Universtitat de València, Valencia, Cauchy-type integral: application to shell interaction for Dirac operators, BCAM Workshop on Harmonic Analysis and PDE, BCAM - Basque Center for Applied Mathematics, Bilbao,. Wave equation with visco-elastic damping and semi-linear case with power non linearity u t p and D a p with a (0, 2), Analysis group seminar, TU Bergakademie Freiberg, Freiberg, Germany. Courses Given Introduction to the Theory of Self-Adjoint Operators, Course for Master and Ph.D. students, BCAM - Basque Center for Applied Mathematics, Bilbao, Awards & Grants 2016 Award Premio Maiellaro, for the best master thesis in mathematics defended at Università degli Studi di Bari in 2014-2015 BCAM - Basque Center for Applied Mathematics 3/5
2014 Grant SVP-2014-068458, BCAM Severo Ochoa accreditation SEV-2013-0323, Spanish Ministry of Economy and Competitiveness MINECO 2013 Grant Messageri della Conoscenza Programma PAC 2012, MIUR, Università degli Studi di Bari. April - July May - June 2014 Visiting Fellowship Politecnico di Torino, Dipartimento di Scienze Matematiche "Giuseppe Luigi Lagrange", Torino 10129, Italy. Prof. Riccardo Adami Université Paris-Sud, Département de Mathématiques, Orsay 91400, France. Prof. Konstantin Pankrashkin Universitat Politècnica de Catalunya, Departament de Matemàtiques, Barcelona 08028, Dr. Albert Mas TU Bergakademie, Fakultät für Mathematik und Informatik, Freiberg 09596, Germany, Messaggeri della Conoscenza program. Prof. Michael Reissig Publications 2018 B. Cassano, F. Pizzichillo, Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials, F. Lett Math Phys. https://doi.org/10.1007/s11005-018-1093-9 2018 A. Mas, F. Pizzichillo, Klein s Paradox and the Relativistic δ-shell Interaction in R 3, Analysis and PDE, vol. 11.3 p. 705-744. https://doi.org/10.2140/apde.2018.11.705 2018 T. Ourmières-Bonafos, K. Pankrashkin, F. Pizzichillo, Spectral asymptotics for δ-interactions on sharp cones, Journal of Mathematical Analysis and Applications, vol. 458.1 p. 566-589. https://doi.org/10.1016/j.jmaa..09.026 2018 B. Cassano, F. Pizzichillo, Self-Adjoint Extensions for the Dirac Operator with Coulomb-Type Spherically Symmetric Potentials, F. Lett Math Phys. https://doi.org/10.1007/s11005-018-1093-9 A. Mas, F. Pizzichillo, The relativistic spherical δ-shell interaction in R 3 : spectrum and approximation, Journal of Mathematical Physics, vol. 58.8 p. 082102. http://dx.doi.org/10.1063/1.5000381 Computer skills Good knowledge of Windows and Mac operating systems. Good knowledge of L A TEX. Basic knowledge of Mathematica. Basic knowledge of Matlab. BCAM - Basque Center for Applied Mathematics 4/5
Languages Italian English Spanish Mothertongue Conversationally fluent Conversationally fluent BCAM - Basque Center for Applied Mathematics 5/5