Curriculum Vitae. 1. Personal Data: Name: María Teresa Pérez Pérez Date and place of birth: 19 th July, 1976, San Fernando, Cádiz, Spain.

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1 Curriculum Vitae 1. Personal Data: Name: María Teresa Pérez Pérez Date and place of birth: 19 th July, 1976, San Fernando, Cádiz, Spain. NIF: V Contact Address: Universidad Autónoma de Madrid, Facultad de Ciencias, Dpto. de Matemáticas, Campus de Cantoblanco, Madrid telephone number: (0034) Degrees: PhD in Mathematics by Carlos III de Madrid University, within the area of Applied Mathematics, December, (Available at jrossi/mayte) Thesis Title: Formación de singularidades en problemas de reacciondifusión no lineales (Singularity formation in reaction-diffusion problems) Advisers: Raúl Ferreira de Pablo and Arturo de Pablo Martínez. Qualification: Sobresaliente cum laude (maximum qualification) granted by all members of the Jury. Diploma de estudios avanzados (D.E.A.) (Advanced Studies Degree), in the area of Applied Mathematics, by Carlos III de Madrid University, October, Período de Docencia (First Period) in the Doctorate Programm in Mathematical Engineering by Carlos III de Madrid University, June, Periodo de Docencia (First Period) in the Doctorate Programm Physics and Mathematics, by Granada University, September, 2001, 1

2 with maximum qualification. Degree in Mathematics Sciencies (Licenciatura), by Granada University, July, Current position: Postdoctoral Fellowship Juan de la Cierva, associated to the research project Growth, Diffusion and Optimal Transport: Limit problems in non lineal Elliptic and Parabolic Equations (MTM ), responsible researcher Ireneo Peral Alonso, July 2009, to enjoy from February 2011 in Universidad Autónoma de Madrid. 4. Publications: In this section it must be mentioned that the name for publications is Mayte Pérez-Llanos. All of the publications are available at jrossi/mayte Published and accepted papers: 1. An anisotropic infinity Laplacian obtained as the limit of the anisotropic (p, q) Laplacian. M. Pérez-Llanos and J. D Rossi. To appear in Communications in Contemporary Mathematics. 2. Limits of anisotropic and degenerate elliptic problems. A. Di Castro, M. Pérez-Llanos and J. M. Urbano. To appear in Journal Communications on Pure and Applied Analysis 3. Limits as p(x) of p(x)-harmonic functions with non-homogeneous Neumann boundary conditions. M. Pérez-Llanos and J. D Rossi, to appear in Contemporary Mathematics. 4. The limit as p(x) of solutions to the inhomogeneous Dirichlet problem of the p(x) Laplacian. M. Pérez-Llanos and J. D. Rossi, vol. 73 pag ,

3 5. The behaviour of the p(x) Laplacian eigenvalue problem as p(x). M. Pérez-Llanos y J. D Rossi. Journal of Mathematical Analysis and Applications, vol. 363, pag , Numerical quenching for a system of heat equations coupled at the boundary. R. Ferreira and M. Pérez-Llanos. Mathematical Methods in Applied Sciencies, vol. 32, pag , Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term. M. Pérez-Llanos and J.D. Rossi. Nonlinear Analysis, vol 70, pag , Incomplete quenching in a system of heat equations coupled at the boundary. R. Ferreira, A. de Pablo, M. Pérez-Llanos and J. D Rossi. Journal of Mathematical Analysis and Applications, vol 346 (1), pag , Non trivial compact blow-up sets of smaller dimension. M. Pérez- Llanos and J. D. Rossi. Proceedings of the American Mathematical Society, vol 136, (2), pag , Nontrivial compact blow-up sets of lower dimension in a halfspace. M. Pérez- Llanos and J. D. Rossi. Differential and Integral Equations, vol 20, (11), pag , Regional blow-up for a doubly nonlinear equation with a nonlinear boundary condition J. Filo and M. Pérez-Llanos, Journal of dynamics and differential equations, vol 19 (3), pag , Numerical blow-up for the p-laplacian equation with a source R. Ferreira, A. de Pablo and M. Pérez-Llanos, Computational Methods in Applied Mathematics issue 2, vol 5, pag , Preprints submitted: 1. Models for growth of heterogeneous sandpiles via Mosco convergence M. Bocea, M. Mihăilescu, M. Pérez-Llanos and J. D Rossi. 2. Bifurcation curves of a diffusive logistic equation when harvesting is orthogonal to the first eigenfunction. P. M. Girão and M. Pérez- Llanos. 3

4 3. Critical exponents for a semilinear parabolic equation with variable reaction. R. Ferreira, A. de Pablo, M. Pérez-Llanos and J. D Rossi. 4. Numerical approximations for a nonlocal evolution equation. M. Pérez-Llanos and J.D. Rossi. 5. Blow-up for the non-local p-laplacian equation with a reaction term. M. Pérez-Llanos. Proceedings: 1. Conjuntos de explosión compactos de dimensión menor. XX Congreso de Ecuaciones diferenciales y aplicaciones y X congreso de la Sociedad Española de Matemática Aplicada CEDYA 2007, September 2007 in Sevilla. 2. Conjuntos de explosión para una ecuación doblemente no lineal. Primer Congreso Internacional de Matemáticas en Ingeniería y Arquitectura, Madrid, May Numerical blow-up for the p-laplacian equation with a source. Proceedings of the Equadiff 11 Conference on Differential Equations, (Bratislava July 25-29, 2005) Electronic version available at 4. Blow-up numérico para un problema de reacción-difusión. XIX Congreso de Ecuaciones diferenciales y aplicaciones (CEDYA 2005), Leganés, September Research stays: 1. Department of Mathematics, U.T. Austin, Texas Responsible Professor: Luis Caffarelli. Line of Work: Homogenization process in fully nonlinear PDEs. Length of the stay: from August, 15th until January, 15th, 2010/ Department of Mathematics, Instituto Superior Técnico, U. Técnica de Lisboa, Portugal Responsible Professor: Pedro Martins Girão. Line of Work: Analysis of bifurcation problems of differential 4

5 equations of elliptic type. Length of the stay: from January, 3th until July, 13th, Department of Mathematics, Faculty of Exact and Natural Sciences, Buenos Aires University, Buenos Aires (Argentine) Responsible Professor: Julio D. Rossi. Line of Work: Analysis of problems of differential equations of parabolic type. Length of the stay: from October 8th until December 7th, Sciences Institute of General Sarmiento University (UNGS) (Argentine) Responsible Professor: Gabriel Acosta. Line of Work: Numerical analysis of problems of differential equations of elliptic type. Length of the stay: from October the 8th until December 7th, Department of Mathematics, Faculty of Exact and Natural Sciences, Buenos Aires University, Buenos Aires (Argentine) Responsible Professor: Julio D. Rossi. Line of Work: Analysis of problems of differential equations of elliptic type. Length of the stay: from October 9th until November 17th, Department of Mathematical Analysis and Numerics, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava (Eslovakia) Responsible Professor: Ján Filo Line of Work: Study of problems arising blow-up Length of the stay: from October 3th until November 11th, Research Projects: Current research projects: 1. Title of the project: Growth, Diffusion and Optimal Transport: Limit Problems in Nonlinear Parabolic and Elliptic Equations 5

6 Ref: Project MTM Responsible researcher: Ireneo Peral Alonso. Length: from 01/01/2008 until 31/12/2010. Funding:Ministry of Education and Science. 2. Title of the project: U. T. Austin Project Ref: project UTAustin/MAT/0035/2008. Responsible researcher: Diogo Aguiar Gomes. Length: from 01/01/2008 until 31/12/2011. Funding:Fundação para a Ciência e a Tecnologia, Portugal. Previous projects: 1. Title of the project: Non Lineal Diffusion: Non Local Blow-up and Diffusion Ref: MTM C Responsible researcher: Arturo de Pablo Martínez. Length: from 01/01/2009 until 31/12/2011. Funding: Ministry of Science and Innovation. 2. Title of the project: Partial Nonlinear Differential Equations: Diffusion, blow-up and Free Boundaries Ref: MTM C Responsible researcher: Arturo de Pablo Martínez. Length: from 31/12/2005 until 30/12/2008. Funding: Ministry of Education and Science. 3. Thematic net of projects: Net of Nonlinear Parabolic and Elliptic Equations Ref: MTM E. Coordinator researcher: Ireneo Peral Alonso. Length: from 27/05/2006 until 30/11/2007. Funding: Ministry of Education and Science. 4. Title of the project: Discrete Traveling Waves: Domain walls, dislocations and fissures Ref: BMF C02-01 Responsible researcher: Luis F. Lopez Bonilla. Length: from 01/10/2002 until 30/09/2005. Funding: Ministry of Science and Technology. 7. Grants: Juan de La Cierva associated to the research project Growth, Diffusion and Optimal Transport: Limit problems in non lineal Elliptic 6

7 and Parabolic Equations (MTM ), responsible researcher Ireneo Peral Alonso, July 2009, to enjoy from February 2011 in Universidad Autónoma de Madrid. Post-doctoral fellowship under U. T. Austin Portugal program enjoyed at Instituto Superior Técnico, U. Técnica de Lisboa, Portugal, and U. T. Austin, Texas, during 2009/2010. Grants for the mobility of PhD students to engage Doctorate Programs in Spanish public Universities, February 2002, to study the Doctorate Program in Mathematical Engineering at Carlos III de Madrid University. 8. Prizes: Second Prize in International Congress of Mathematicians 2006 Poster competition (Section: Partial Differential Equations) with the work entitled Numerical blow-up for a diffusion equation with nonlinear reaction term. 9. Seminars, congresses and courses: Contributions in international and national congresses and schools : 1. Variable Exponent Analysis 2010, July 2010 in Oulu University, Oulu, Finland. Contributed talk: The limit as p(x) of solutions to the p(x) Laplacian. 2. First Workshop in Mathematical Analysis in Alicante, May 2010 in Universidad de Alicante, Alicante. Invited talk: The limit as p(x) of solutions to the inhomogeneous Dirichlet problem of the p(x) Laplacian. 3. Post-Doctoral Academy in Mathematics, July 2009 in Instituto Superior Técnico in Lisbon, Portugal. 7

8 Invited talk: The behaviour of the p(x) Laplacian eigenvalue problem as p(x) 4. Winter School at IMDEA, January 2009 in Madrid. communication: Numerical approximations for a system that exhibits quenching 5. Workshop on Partial Differential Equations, October 2008 in Bucharest, Rumanía. Plenary invited talk: Quenching for systems: Numerical approximations and possible analytical continuation. 6. Third Euro-Japanese Workshop on Blow-up, September, 2008 in Sendai, Japan. Poster Title: Blow-up for a nonlocal diffusion problem with Neumann boundary conditions and a reaction term er Encuentro Internacional de EDPs No lineales, July- August, 2008 in Buenos Aires, Argentine. Poster Title: Blow-up for a nonlocal diffusion equation and a reaction term with Neumann boundary conditions. 8. XX Congreso de Ecuaciones diferenciales y aplicaciones y X congreso de la Sociedad Española de Matemática Aplicada CEDYA 2007, September, 2007 in Sevilla. Communication: Conjuntos de explosión compactos de dimension menor. 9. Primer encuentro de la red de ecuaciones parabólicas y elípticas no lineales, September, 2007 in San José, Almería. Communication: Conjuntos de explosión compactos de dimensión menor. 8

9 10. Non-lineal diffusion: Mathematics and applications, June, 2007 in El Escorial, (Madrid). Poster Title: Compact blow-up sets of lower dimension 11. Primer Congreso Internacional de Matemáticas en Ingeniería y Arquitectura, June 2007, in Madrid. Communication: Conjuntos de explosión para una ecuación doblemente no lineal 12. Primer Encuentro Nacional de Ecuaciones Diferenciales, November, 2006 in La Falda, Cordoba (Argentine) Communication: Conjuntos de Explosión para una ecuación doblemente no lineal 13. XII Escuela Jacques-Louis Lions Hispano-Francesa sobre Simulación Numérica en Física e Ingeniería, September, 2006 in Castro Urdiales (Cantabria). Poster Title: Numerical blow-up for a diffusion equation with nonlinear reaction term. 14. Second Euro-Japanesse workshop on blow-up, September, 2006 in El Escorial (Madrid). Poster Title: Blow-up sets for a doubly nonlinear equation with nonlinear boundary condition 15. International Congress of Mathematicians, August, 2006 in Madrid. Poster Title: Numerical blow-up for a diffusion equation with nonlinear reaction term 9

10 16. XIX Congreso de Ecuaciones diferenciales y aplicaciones y IX congreso de la Sociedad Española de Matemática Aplicada CEDYA 2005, September, 2005 in Leganés (Madrid). Communication: Blow-up numérico para el p-laplaciano con una fuente no lineal. 17. Equadiff 2005, July, 2005 in Bratislava (Eslovakia) Communication: Numerical Blow-up for the p-laplacian equation with a source. 18. XI Escuela Jacques-Louis Lions Hispano-Francesa sobre Simulación Numérica en Física e Ingeniería, September, 2004 in Cádiz. Poster Title: Blow-up numérico de p-laplaciano con fuente. Congresses as organizer: 1. Granada Euroconference on Asymptotic Methods and Applications in Kinetic and Quantum-Kinetic Theory, September, 2001 in Granada. Attendance to national and international congresses and Schools: 1. Workshop on Non-local Equations, June 2009 in Leganés, Madrid. 2. Nonlinear Partial Differential Equations (in the memory of Fuensanta Andreu), May 2009 in Burjassot, Valencia. 3. Workshop Summer School Qualitative Properties of solutions to Elliptic and Parabolic equations, June, 2007 in Saariselkä, (Finland). 10

11 4. Foundations of Computacional Mathematics 05, ( Cantabria University) June/July, 2005 in Santander (Cantabria). 5. Escuela de Matemáticas Lluis Santalo. Recent Trends in Partial Differential Equations, ( Menéndez Pelayo Internacional University) July, 2004 in Santander (Cantabria). 6. XVI. ECMI Modelling week, (Universität Kaiserslautern) August, 2002 in Kaiserslautern (Germany). 7. Látex: edicion de textos científico-técnicos y publicación en la web, (Granada University) April/May, 2001 in Granada. Seminars: 1. An Anisotropic Infinity Laplacian in the Analysis Group seminars of the Department of Mathematics, U.T. Austin, October Some Notes in Transport Equations: di Perna and Lions Theory Department of Mathematics of Instituto Superior Técnico, U. Técnica de Lisboa, Lisboa, June Some Notes in Transport Equations Department of Mathematics of Instituto Superior Técnico, U. Técnica de Lisboa, Lisboa, May Limits of inhomogeneus problems related to the p(x) Laplacian in the Department of Mathematics of U. de Coimbra, Coimbra, Portugal, May Blow-up for some nonlinear parabolic problems in the Department of Mathematics of Instituto Superior Técnico, U. Técnica de Lisboa, Lisboa, February Explosión para un problema de difusión no local con condición de contorno tipo Neumann in the Department of Mathematics, Faculty of Exact and Natural Sciences,( Buenos Aires U.) August, Explosión para un problema de difusión no local con condición de frontera tipo Neumann in the Department of Mathematical Analysis at Valencia University, June,

12 8. Tres problemas con blow-up in the seminars of the group CADEDIF, at Complutense de Madrid University, January, Tres problemas con blow-up in the seminars of the area of Mathematics at the Sciences Institute of General Sarmiento National University (UNGS), Argentine, December, Formación de singularidades en algunos problemas parabólicos, in the Department of Mathematical Analysis at Valencia University, May, Blow-up numérico para un problema de reacción-difusión no lineal, in the seminar of Differential Equations and Numerical Analysis of the Department of Mathematics, FCEyN, Buenos Aires University, October, Blow-up numérico para el p-laplaciano con una fuente no lineal, in the seminars of Applied Mathematics and Equations at Autónoma de Madrid University, March, Attendance to Courses during the degree: 1. Cálculo variacional: problemas de optimización, (Granada University), September, 2000 in Granada. 2. Lógica, Computabilidad y Matemáticas, (Granada University), March, 2000 in Granada. 3. III Jornadas andaluzas de orientación, diagnosticar en educación, (UGT of Granada), December, 1987 in Granada. 10. Teaching: Assistant Professor in the Department of Mathematics of Carlos III de Madrid University, since December 2001, until January 2010, has given the following courses, (approximately 850 hours): 12

13 PhD Courses: Non Local Evolution Equations, mini course in the Summer School SIMUMAT SUMMER SCHOOL 2009, in the topic Evolution equations and Numerical Analysis for PhD students, year 2008/09. 1 st and 2 nd period courses: Calculus II, for Telecommunication Engineering, year 2008/09 (1 group) Calculus II, for Audiovisual Systems Engineering, year 2008/09 (1 group) Calculus II, for Electricity Engineering, year 2008/09 (1 group) Algebra II, for Industrial Engineering, year 2007/08 (1 group). Calculus II, for Industrial Engineering, year 2007/08 (1 group). Algebra II, for Statistics, year 2007/08 (1 group). Computing Laboratories of Algebra I and Calculus I, for Computing of Systems Engineering, year 2006/07 (2 groups). Computing Laboratories of Algebra I and Calculus I, for Industrial Engineering, year 2006/07 and 2005/06 (5 groups). Computing Laboratories of Algebra I and Calculus I, for Engineering in Electronics, Electricity and Mechanics, year 2006/07 (5 groups) and 2005/06 (8 groups). Computing Laboratories of Algebra II and Calculus II, for Industrial Engineering, year 2004/05 (5 groups). 13

14 Calculus I, for Industrial Engineering, years 2003/04 and 2004/05 (2 groups). Algebra II, for Industrial Engineering, year 2003/04 (1 group). Computing Laboratory of Mathematics I, for Computing Engineering, year 2002/03 (3 groups). Computing Laboratory of Calculus II, for Engineering in Electronics, Electricity and Mechanics, years 2002/03, 2003/04 and 2004/05 (8 groups). Computing Laboratory of Mathematics II, for Computing Engineering, year 2001/02 (3 groups). Computing Laboratory of Mathematics III, for Computing Engineering, year 2001/02 and 2002/03 (3 groups). Partial Differential Equations, for Industrial Engineering, year 2001/02 (1 group). Computing Laboratory of Computational Methods, for Statistics, year 2001/02 (1 group). 11. Languages: English: Advanced. German: Advanced : Fifth Course of German at the Official School of Languages. Portuguese: Advanced. 14

15 11. Other: Reviewer of American Mathematical Society. Referee for the journals: 1. Nonlinear Analysis Series A: Theory, Methods and Applications, (NA) ISSN: X. 2. Journal of Mathematical Analysis and Applications, (JMAA) ISSN: X. 3. Applications and Applied Mathematics(AAM), ISSN: ; 4. Electronic Journal of Differential Equations (EJDE), ISSN: ; 5. Numerical Methods for Partial Differential Equations ISSN: X; 6. World Journal of Modeling and Simulation, (WJMS) ISSN: Certificado de Aptitud pedagógica (C.A.P), (Pedagogic Ability Certificate), by the Centro de Formación Continua at Granada University, in Granada, June, Responsible for the web page of the Department of Mathematics at Carlos II de Madrid University, from January, 2002 until January, Under the compromise to contribute the certificates corresponding to every mentioned point above, in Madrid February, 2010 María Teresa Pérez 15