TO MAGNIFICO RETTORE OF UNIVERSITA DEGLI STUDI DI MILANO PERSONAL INFORMATION ACADEMIC POSITIONS GIULIO GALISE CURRICULUM VITAE

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1 TO MAGNIFICO RETTORE OF UNIVERSITA DEGLI STUDI DI MILANO GIULIO GALISE CURRICULUM VITAE PERSONAL INFORMATION Surname Galise Nome Giulio Date of birth February 26th, 1984 ACADEMIC POSITIONS CURRENT Appointment Structure February Postdoc Research project: Nonlinear elliptic equations Supervisor: Prof. Emanuele Caglioti PAST Appointment Structure January December 2016 Postdoc Research project: Nonlinear differential problems Supervisor: Prof. Filomena Pacella January 2014 January 2015 Postdoc Research project: Elliptic PDE and applications Supervisor: Prof. Maria Transirico EDUCATION AND TRAINING Degree Course of studies University year of achievement of the degree Ph.D. TFA National Italian license as certified teacher in high schools in

2 M.Sc. in summa cum Laude 2009 Bc. in summa cum Laude 2007 AWARDS, ACKNOWLEDGEMENTS, SCHOLARSHIPS Year Description of award Ph.D. scholarship of for the duration of the Ph.D. program ( ). Best Bachelor's degree graduate in 2007 prize granted by Faculty of Scienze MM. FF. NN. ( ) Award for the best second year student of Bachelor's degree in granted by Faculty of Scienze MM. FF. NN. ( ), within the event Exposcuola 2004". RESEARCH ACTIVITY Fully nonlinear equations: maximum principles for second order uniformly elliptic/parabolic and degenerate operators, existence and properties of principal eigenvalues and eigenfunctions, regularity and qualitative properties of solutions, removable singularities, sign changing solutions, entire solutions, blow-up and concentration phenomena, viscosity solutions methods. Homogenization of Hamilton-Jacobi equations on networks. RESEARCH VISITS Period July 10th - August 10th 2017 January 13th - February 13th 2014 Place Tohoku University (Sendai), Waseda University (Tokyo) Scientific collaboration with Shigeaki Koike and Hitoshi Ishii Universitè Paris-Est Crèteil, École des Ponts ParisTech. Scientific collaboration with Cyril Imbert and Règis Monneau PUBLICATIONS [1] G. Galise e A. Vitolo, Viscosity Solutions of Uniformly Elliptic Equations without Boundary and Growth Conditions at Infinity, Int. J. Differ. Equ., vol. 2011, 1-18 (2011) [2] M.E. Amendola, G. Galise e A. Vitolo, Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators, Differential and Integral equations, Vol. 26, (2013) [3] M.E. Amendola, G. Galise e A. Vitolo, On the uniqueness of blow-up solutions of fully nonlinear elliptic equations, Discrete and Continuous Dynamical Systems-Series S, Vol. 2013, Issue special, (2013) [4] G. Galise, C. Imbert e R. Monneau, A junction condition by specified homogenization and application to traffic lights, Analysis & PDE, Vol. 8, No. 8, (2015) [5] G. Galise, S. Koike, O. Ley e A.Vitolo, Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term, J. Math. Anal. Appl. 441, (2016) [6] G. Galise e A. Vitolo, Removable singularities for degenerate elliptic Pucci operators, Adv. Differential Equations 22 no. 1/2, (2017) [7] G. Galise, F. Leoni e F. Pacella, Existence results for fully nonlinear equations in radial domains, Commun. Partial Differential Equations, 42:5, (2017)

3 [8] I. Birindelli, G. Galise, F. Leoni, Liouville theorems for a family of very degenerate elliptic nonlinear operators, Nonlinear Analysis, 161, , (2017) [9] I. Birindelli, G. Galise e H. Ishii, A family of degenerate elliptic operators: Maximum principle and its consequences, in corso di stampa su Ann. Inst. Henri Poincaré, Anal. Non Linéaire REFEREEING ACTIVITY Discrete and Continuous Dynamical Systems, Journal of Mathematical Analysis and Applications, Nonlinear Analysis, Proceedings of The Royal Society of Edinburgh (section A) PARTICIPATION IN THE RESEARCH PROJECTS year GNAMPA 2017 Avvio alla ricerca 2016 GNAMPA 2016 GNAMPA 2015 Fondi di Ateneo 2015 Fondi di Ateneo PRIN 2012 Project Viscosity solution methods for fully nonlinear degenerate elliptic equations Principal Investigator: Kevin Payne Nonlinear problems with geometrical or physical motivations Principal Investigator: Francesca De Marchis Analysis and developments for fully nonlinear equations via the Maximum Principle} Principal Investigator: Fabiana Leoni Soluzioni di viscosità di equazioni ellittiche degeneri derivanti da problemi geometrici Principal Investigator: Antonio Vitolo Equazioni ellittiche non lineari: metodi e applicazioni Principal Investigator: Antonio Vitolo Equazioni ellittiche non lineari con eventuali degenerazioni Principal Investigator: Antonio Vitolo Aspetti variazionali e perturbativi nei problemi differenziali nonlineari Principal Investigator: Susanna Terracini CONFERENCES, WORKSHOPS AND SCHOOL Date Title Place th Conference on Recent Trends in Messina, September 17 Nonlinear Phenomena Accademia Peloritana dei Pericolanti July 17 Nonlinear Partial Differential Equations for Future Applications-Optimal Control and PDE May 17 International Conference on Elliptic and Parabolic Problems, 2-7 April 17 Mostly Maximum Principle March 17 Topics in nonlinear analysis and applications Tohoku University Gaeta (LT) BIRS Canada Dipartimento di Matematica e Applicazioni Milano-Bicocca

4 23 26 January Ago. - 2 September May - 3 June September September September 14 Roma Caput PDE First Joint Meeting Brazil - Italy in Hamilton-Jacobi Equations: new trends and applications Mostly Maximum Principle XX Congresso dell Unione Matematica Italiana Topics in Elliptic and Parabolic PDEs 7-11 July 14 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications 2-6 June 14 Corso CIME: Partial Differential Equations and Geometric Measure Theory, November September June June April September August - 3 September 11 New Trends in Calculus of Variations and Partial Differential Equations Mostly Maximum Principle Geometric and Analytic Techniques in Calculus of Variations and Partial Differential Equations: New Trends in Nonlinear PDEs GNAMPA School: Differential equations and dynamical systems Recenti Sviluppi in Analisi Matematica. Nel Centenario della Nascita di Carlo Miranda XIX Congresso dell Unione Matematica Italiana Corso CIME: Hamilton-Jacobi equations: approximations, numerical analysis and applications Summer school on stochastic control and related PDEs IMPA Rio de Janeiro INSA Rennes Agropoli (SA) Siena Napoli Federico II Madrid Cetraro (CS) Università degli Studi di Napoli Federico II Università di Roma La Sapienza Pisa SNS Latina Napoli Bologna Cetraro (CS) 27 June - 8 July Università Milano Bicocca April 11 Three days in PDEs Università di Roma Tor Vergata 1-14 August 10 SMI Course: Partial Differential Equations, Cortona (AR) June May - 2 June 10 GNAMPA-ERC Summer School: Analytic Techniques for Geometric and Functional Inequalities Positivity: a key to fully-nonlinear equations Ischia (NA) Vietri (SA) TALKS Date Title Place 28 July 17 Non existence results of positive solutions Waseda University (invited talk) for a class of degenerate elliptic equations 19 July 17 Liouville theorems for a family of very degenerate elliptic nonlinear operators Nonlinear Partial Differential Equations for Future Applications-Optimal Control

5 12 June 17 A family of very degenerate elliptic nonlinear operators: principal eigenvalues, unusual phenomena and Liouville theorems 24 May 17 Existence results for fully nonlinear elliptic equations with power nonlinearities 4 April 17 A class of highly degenerate elliptic operators: maximum principle and unusual phenomena 16 March 17 Maximum Principle results for a class of degenerate elliptic operators 1 September 16 A family of degenerate elliptic operators: maximum principle and its consequences 31 May 16 A junction condition by specified homogenization and application to traffic lights 17 December 15 Il principio di massimo esteso per gli operatori ellittici degeneri di Pucci 17 September 15 Removable singularities for some degenerate elliptic equations 7 September 15 Il Principio di Massimo Esteso per equazioni ellittiche completamente non lineari The extended maximum principle and 8 July 14 removable singularities of fully nonlinear second-order elliptic operators 13 June 12 Viscosity solutions of elliptic equations in Rn: existence and uniqueness results Viscosity solutions of uniformly elliptic 1 September 11 equations without boundary and growth conditions at infinity and PDE, Tohoku University (invited talk) Seminario di Matematica, Scuola Normale Superiore, Pisa (invited talk) International Conference on Elliptic and Parabolic Problems, Minisymposium 11 - Theory and methods in nonlinear analysis, Gaeta (LT) (invited talk) Mostly Maximum Principle, BIRS Canada (invited talk) Topics in nonlinear analysis and applications, Milano-Bicocca (invited talk) First Joint Meeting Brazil - Italy in, IMPA Rio de Janeiro (invited talk) Hamilton-Jacobi Equations: new trends and applications, INSA Rennes (invited talk) P(n)/N(p)-Problemi differenziali nonlineari, (invited talk) Mostly Maximum Principle, Agropoli (SA) (invited talk) XX Congresso U.M.I., Sezione 2: Equazioni alle derivate parziali, Siena 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 76: Viscosity, Nonlinearity and Maximum Principle, Madrid (invited talk) GNAMPA School Differential equations and dynamical systems, Latina Corsi CIME 2011 Hamilton-Jacobi equations: approximations, numerical analysis and applications, Cetraro (CS) TEACHING EXPERIENCES A.Y. Course University 2016/2017 Lecturer (Docente a contratto) for the course Analisi Matematica I (Bachelor's degree in Physics, 34 hours) 2015/2016 Lecturer (Docente a contratto) for the course Analisi Matematica I (Bachelor's degree in Physics, 50 hours) Teaching assistant for the course Matematica 31 hours ) 2014/2015 Lecturer (Docente a contratto) for the course Matematica II (Bachelor's degree in Civil Engineering, 30 hours) High school teacher of and Physics, 21 January - 10 June 2015 Liceo Statale R. Caccioppoli, Scafati (SA)

6 2013/2014 Teaching assistant for the course Matematica (Bachelor's degree in Biotechnology, 40 hours) 2012/2013 Teaching assistant for the course Analisi Matematica III (Bachelor's degree in, 10 hours) Teaching assistant for the course Basi di logica e matematica (Bachelor's degree in Computer Science, 20 hours) 2011/2012 Teaching assistant for the course Analisi Matematica I-II (Bachelor's degree in, 24 hours) Università degli Studi del Sannio Teaching assistant for the course Matematica I 12 hours) Teaching assistant for the course Matematica II 12 hours) 2010/2011 Teaching assistant for the course Analisi Matematica (Bachelor's degree in Computer Science, 20 hours) Teaching assistant for the course Matematica I-II 20 hours) MEMBERSHIPS GNAMPA - Gruppo Nazionale per l'analisi Matematica, la Probabilit\`a e le loro Applicazioni (sezione Equazioni Differenziali e Sistemi Dinamici)} UMI - Unione Matematica Italiana FOREIGN LANGUAGES Languages English French level of knowledge B1 - Preliminary English Test, University of Cambridge ESOL Examinations (Giugno 2011)} Good Declarations given in the present curriculum must be considered released according to art. 46 and 47 of DPR n. 445/2000. The present curriculum does not contain confidential and legal information according to art. 4, paragraph 1, points d) and e) of D.Lgs n Roma, October 5th, 2017 SIGNATURE