CURRICULUM VITAE : CLAUDIO ALONSO FERNANDEZ A. PERSONAL DATA

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1 CURRICULUM VITAE NAME : CLAUDIO ALONSO FERNANDEZ A. PERSONAL DATA Birthdate : Febrero 8, 1953 Birthplace : Santiago, Chile Marital Status : Married Citizenship : Chilean Current Position : Professor (Profesor Titular) E mail : cfernand@mat.puc.cl Phone number : Fax Number : B. EDUCATION Undergraduate Education Universidad Católica de Chile, degree: Licenciado en Matemática, Universidad Católica de Chile, degree: Bachiller en Ciencias, Graduate Education University of Rochester, degree: Ph.D. (Mathematics), 1982, Thesis title: Resonances in Obstacle Scattering. Advisor: Dr. Richard Lavine. University of Rochester, Rochester, N.Y., degree: M.S. (Mathematics), Universidad Católica de Chile, degree: M.S. (Mathematics), 1976, Thesis title: Bounded sets of holomorphic germs. C. PROFESSIONAL EXPERIENCE Academic Possitions

2 From 1993, Professor (Profesor Titular), Departamento de Matemática, Pontificia Universidad Católica de Chile Professor (Profesor Adjunto), Departamento de Matemática, Pontificia Universidad Católica de Chile. May 1980 Dec Teaching assistant and Instructor, University of Rochester. Sept May 1980 Instructor, University of Virginia. Sept Sept Teaching Assistant, Department of Mathematics, University of Rochester. March 1976 Sept Assistant Professor, Instituto de Matemática, Universidad Católica de Chile March Instructor, Instituto de Matemática, Universidad Católica de Chile Teaching Assistant, Instituto de Matemática, Universidad Católica de Chile. Administration , Dean(Decano), Facultad de Matemáticas, Pontificia Universidad Católica de Chile , Chairman, Department of Mathematics, Facultad de Matemáticas, Pontificia Universidad Católica de Chile , Chairman of Student Affairs, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. Visiting Possitions University of Campinas, Brazil, (three months, 1976). University of Rochester, U.S.A., May University of Penambuco, Brazil, (one month). Laboratorio Nacional de Computación Científica y Tecnológica, Rio de Janeiro, Brazil (several visits ). International Center for Theoretical Physics, Trieste, Italy, (one month, 1991). Universidad Nacional Autónoma, México, (two weeks 1992). University of Roma II, Italia, (1993, 1995, 2001). Universidad Federal de Santa Catarina, Florianópolis, Brasil (1994, 1997, 1998, 2003, 2004). Universidad Federal de Rio Grande do Sul, Santa María, Brasil (1994, 1997, 1998). Center Physique Theorique, Marseille, Francia (2001). Simon Fraser University, Canadá (Fall 2001). University British Columbia, USA (Fall 2001).

3 D. THESIS ADVISING Undergraduate thesis (Licenciatura en Matemática): Mario Mella, Marco Corgini, Mauricio Vergara y Eduardo Chappa. Graduate thesis (Magister en Matemática): Eduardo Chappa, Propagación de Singularidades (Propagation of Singularities). Participation in several Ph.D. thesis commitees: M. García Huidobro, H. Ochsenius, G. Bobadilla, E. Saavedra, C. Barrios Ph.D. Thesis: Pablo Covian. Acerca del Fenómeno de Resonancia en Problemas con Barreras de Potencial Hugo Caerols. Principio de Continuación Unica para Ecuaciones Diferenciales Parciales en dos variables Rodrigo Pérez, Dos modelos que ilustran el fenómeno de resonancia en mecánica Cuántica, E. MEMBERSHIP Member of Sociedad de Matemática de Chile. Member of American Mathematical Society. F. TALKS SINCE Resonances and the Dirichlet to Neumann map, 2 nd Workshop on Functional Analysis, Usach, Santiago, Absence of embedded eigenvalues for perturbed Hamiltonians, University of British Columbia, Ausencia de valores propios para el propagador asociado a una ecuación de evolución, II Encuentro de matemática del Caribe colombiano, Analytic deformation for the Friedrichs model., Congreso Zona Sur, Talca, Chile, Absence of discrete spectrum for time dependent Hamiltonians. Congreso Comca, Antofagasta,

4 Chile, Absence of embedded eigenvalues for magnetic Stark Hamiltonians. Congreso Comca, Antofagasta, Chile, Absence of embedded eigenvalues for perturbed Hamiltonians, Worshop on P.D.E., Petropolis, Brasil, Spectral Análisis and Scattering Theory, short course, U. Federal de Santa Catarina, Brasil Resonances fpr perturbations of Helholtz s equation, Cogreso Comca2004, Antofagasta, Chile. Perturbación de Valores propios, Coloquio U. Del Norte, Antofagasta, Chile, Commutator estimates for unitary operators, Centre Physique Theorique, Marseille, France, 2004 The Mourre estimate for unitary operators, Universidad Católica del Norte, Antofagasta, Chile, Asymptotic behaviour of the magnetic spectral shift function near the Landau levels, Universidad Católica del Norte, Antofagasta, Chile, Sojourn times for rank one perturbations, Universidad Católica del Norte, Antofagasta, Chile, Counting resonances in dimension n = 2, PASI On Partial Differential Equations, Inverse Problems and Non Linear Análisis, Santiago, Chile, The distribution of resonances in dimension n = 2, Seminario de Física Matemática, Centre Physique Theorique, Marsella, Francia, Location of Scattering frequencies for non linear perturbation of Helmholtz equation, VI Simposio Chileno de Matemáticas, Punta Arenas, Chile, Survival Probability of a Schrödinger Time Dependent Model, XII Congreso de Matemática Capricornio, Iquique, Chile, Teoría Espectral y Operadores de Schrödinger, XII Congreso de Matemática Capricornio, Iquique, Chile, Topological properties of the Time Life function, Seminario de Física Matemática, Centre Physique Theorique, Marsella, Francia, Sojourn time and absolutely continuous Operators, Volterra CIRM Conference Quantum Probability, Levico, Trento, Italy, Boundary controllability for the Schrödinger equation, Seminario de Física Matemática, Centre Physique Theorique, Marsella, Francia, Life Time in Quantum Mechanics, Centre for Scientific Computation Seminar, U.Simon Fraser, Vancouver, Canada, Control for a nonliner Schrödinger equation, Pacific Institute for the Mathematical Science, U. British Columbia, Vancouver, Canada, G. OTHER Chairman. Search of Mathematical Talent, Facultad de Matemáticas, Pontificia Universidad

5 Católica de Chile, Member National Comittee for Chilean Mathematical Olympics, 1989, Treasurer of Sociedad de Matemática de Chile, Chief Chilean Team, Segunda Olimpíada Matemática del Cono Sur, Rosario, Argentina, Chief Chilean Team, Tercera Olimpíada Matemática del Cono Sur, Santiago, H. RESEARCH PROPOSALS ( since 2002): Fondecyt : On the qualitative behaviour of dispersive evolution equation (main researcher). Fondecyt : Time Dependent Hamiltonians (main researcher). Fondecyt : Time Operator and long Time Behavior of States. Posdoc R. Pellicer. ECOS CONICYT/DIPUC 2003: Comportement a grand temps desd systemes quantique. Posdoc O. Bourget. MECESUP : Sistemas Cuánticos No Autónomos. Posdoc O. Bourget. Ecos(France) Conicyt : Comportamiento de soluciones de sistemas manejados en tiempos grandes (main researcher in Chile). Proyecto Puente Dipuc: Time Dependent Hamiltonians, (main researcher). Proyecto Anillo Laboratorio de Análisis Estocástico (ANESTOC) PBCT 13 (researcher, investigador titular). I. PUBLICATIONS 1. C. Fernández. Conjuntos Acotados de Gérmenes Holomorfos (Bounded sets of holomorphic germs), Notas Matemáticas N 7, (1977), Universidad Católica de Chile, C. Fernández. Resonances in Obstacle Scattering, Ph.D. Thesis, University of Rochester, (1982). 3. C. Fernández. Resolvent estimates in some exterior regions, in Analysis, Geometry and Probability, Marcel Dekker, New York, (1985), C. Fernández. Resonances in Scattering by a Resonator, Indiana University Math. J., Vol. 34, N 1 (1985), C. Fernández. Spectral Concentration of the Laplace Operator in the Exterior of a Resonator, J. of Math. Physics 26 (3), (1985), C. Fernández. Un problema en Teoría de Dispersión (A problem in Scattering Theory), in En Chile también hay Ciencia, Universidad de Chile, (1986), M.A. Astaburuaga, V. Cortés, C. Fernández. Non linear perturbation in classical scattering. Notas Sociedad de Matemática de Chile 6, (1987), 7-15.

6 8. M.A.Astaburuaga, C. Fernández, G.Perla. Huygens's principle and semilinear wave equations Comput. Math., Appl. vol. 15, N 6-8, (1988), M.A.Astaburuaga, V.Cortés, C. Fernández. Non-autonomous classical scattering, J. of Math. An. and Appl. 134, (1989), M.A.Astaburuaga, V.Cortés, C. Fernández. Newtonian Scattering in Hilbert Space, J. of Math. An. and Appl., 134, N 1, (1990), C. Fernández, R.Lavine. Lower bounds for Resonance widths in Potential and Obstacle Scattering, Comm. Math. Phys. 128, (1990), , M.A.Astaburuaga, V.Cortés, C. Fernández. The Direct and Inverse Problem in Newtonian Scattering, Proc. A of the Royal Society of Edinburgh, 118 A, , (1991). 13. M. A. Astaburuaga, V. Cortés, C. Fernández. Newtonian Scattering on the Space Proyecciones, U.C. del Norte, Vol. 11, N 2, , (1992). 14. C. Fernández, R. Rebolledo. On Quantum Resonance, Quantum Probability and Related Topics, Vol. VIII, pp , (1993). 15. C. Fernández, R. Rebolledo. Sur l'entropie spectrale et le temps de séjour quantique. C.R. Acad. Sci. Paris, t. 316, Série I, pp , (1993). 16. M.A. Astaburuaga, C. Fernández and G. Perla. Local Smoothing Effects for a Nonlinear Timoshenko's type equation, J. of Nonlinear Analysis, TMA 23, N 9, pp , (1994). 17. M.A. Astaburuaga, C. Fernández and G. Perla Menzala. Energy Decay Rates and the Dynamical von Karman Equations, Appl.Math. Lett., 7, N 2, pp.7-10, (1994). 18. C. Fernández, L. Accardi, H. Prado and R. Rebolledo. Sur les Temps Moyen de Séjour quantique, C.R. Acad. Sci. Paris, t.319, Série I, pp , (1994). 19. C. Fernández and N.Bertoglio. Kicked Dynamics on Hilbert Spaces: A Non Standard Approach, J. of Math. Physics 36 (7), pp , (1995). 20. M.A. Astaburuaga, E. Bisognin and V. Bisognin, C. Fernández. Global attractor and finite dimensionality for a class of dissipative equations of BBM's type, Electronic Journal of Differential Equations 1998 (1998), No. 25, pp M.A. Astaburuaga, V.Cortés, C. Fernández. Delta-time Perturbations of Abstract Schrödinger Operators, Quantum Prob. Commm., QP-PQ X (1998), C. Fernández. Outgoing States and Resonant Behaviour. Proceedings of the Second International Workshop Stochastic Analysis and Mathematical Physics, ANESTOC'96, World

7 Scientific, 72-81, (1998). 23. M.A. Astaburuaga, R. Coimbra, C. Fernández, G. Perla. Scattering Frequencies for a Perturbed System of Elastic Wave Equations. Journal of Math. Analysis and App. 219, (1998). 24. C. Fernández, H. Prado. Asymptotic Behaviour of Reduced Dynamics on Hilbert spaces, Quantum Prob. Commm., QP-PQ X (1998), M.A. Astaburuaga, V. Cortés, C. Fernández, P. González. Scattering Frequencies for non linear perturbation of Helmholt's equation Revista Ciencias Matemáticas 17:2 (1999), M.A. Astaburuaga, V. Cortés, C. Fernández. Stability of radiating solutions of perturbed reduced wave equations, Revista Ciencias Matemáticas 17:2 (1999), C. Fernández, L. Accardi, H. Prado and R. Rebolledo. Mean Quantum Sojourn time Open Systems and Information Dynamics 6, N 3, (1999). 28. M.A. Astaburuaga and V. Cortés, C. Fernández and P. González. Existence and Location of Scattering Frequencies for Non Linear Schröodinger equations Notas Sociedad de Matemática de Chile, 16 (2000), C. Fernández and G. Perla. Resonances of an elastic resonator, Appl. Anal. (1,2) 76 (2000), C. Fernández and K. Sinha. On a theory of Resonance in Quantum Mechanical Scattering Stochastic Analysis and Mathematical Physics ANESTOC'98, Birkhauser, New York, M.A. Astaburuaga, V. Cortés and C. Fernández. Radiating solutions for Non linear timeindependent Schröodinger equations Notas Sociedad de Matemática de Chile, No.1 (2001), C. Fernández and R. Rebolledo. Entropy Functional and Resonant Pure States. Notas Sociead de Matemática de Chile (NS) No. 1 (2001), M.A. Astaburuaga, C. Fernández and P. Covian. Behaviour of the survival probability in some one dimensional problems. J. Math. Phys., 43, No. 10, , (2002). 34. C. Fernández and H. Prado. Exponential Decay for perturbations of pure point Hamiltonians. Trends in Mathematics. Stochastic Analysis and Mathematical Physics II, (2003), Birkhauser. 35. C. Fernández, Georgi Raikov. On the Singularities of the Magnetic Spectral Shift Function at the Landau Levels. Ann. Henri Poincaré, 5 (2004) C. Fernández, H. Prado and G.Palma, Resonances for Hamiltonians with a delta perturbation

8 in one dimension,, J. of Physics A: Math. Gen. 38 (2005), J. Asch, M.A Astaburuaga, Briet, P.Duclos, V. Cortés and C. Fernández, Sojourn time for rank one perturbation, J. Math. Phys. 47, No3, 14 pages (2006). 38. L. Cortés-Vega, C. Fernández, G. Perla Menzala. On Outgoing solutions for a system of timeharmonic elastic wave in the exterior of a star-shaped domain, Proyecciones J. of Math., Vol. 25, N 2, pp , (2006). 39. M.A. Astaburuaga, O. Bourget, V. Cortés, C. Fernández. Floquet operator without singular continuous spectrum, J. Functional Analysis, 238, n 2, pp , (2006). 40. M.A. Astaburuaga, L. Cortés, C. Fernández and G. Perla. On outgoing solutions for Schrödinger's type operators with complex -valued potentials. Variational Formulation in Mechanics, E.Taroco, E.A. de Souza Neto and A.A. Novotny (Eds.), Barcelona,Spain pp , (2008). 41. M.A. Astaburuaga, O. Bourget, V. Cortés, C. Fernández. Absence of point spectrum for unitary propagators, J. Differential Equations 244 (2008) M.A. Astaburuaga, P. Briet, V.Bruneau, C. Fernández and G. Raykov. Dynamical resonances and SSF singularities for a magnetic Schr\"odinger operator, Serdica Math. J. 34 (2008), M.A.Astaburuaga, R.Coimbra and C.Fernández. Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping, J. of Computational Analysis and Appl., vol.11, No4, (2009). 44. R. Assel, M. Dimassi, M. and C. Fernández, C. Some remarks on the spectrum of the magnetic Stark hamiltonian, accepted for publication in Appl. Math. Lett. 45. O.Bourget and C.Fernández. Absence of singular spectrum for some time--periodic magnetic systems, submitted. 46. C. Fernández, C.Lizama and V.Poblete. Well posedness for flexible structural systems. Submitted to SIAM J. on Math. An. Books from Fernández y R. Rebolledo. Ecuaciones Diferenciales Ordinarias. México, Alfa-Omega Editores, 1999, 200 páginas.