CURRICULUM VITAE. José G. Mijares. September 2015

Transcription

1 CURRICULUM VITAE José G. Mijares September 2015 Personal Information Birth place: Caracas, Venezuela. Venezuelan citizen Address: Department of Mathematics University of Denver Aspen Hall, Office 722A 2280 S. Vine St. Telephone: Denver, CO USA address 1: address 2: URL: jmijares/ Education PhD in Mathematics, Universidad Central de Venezuela, July Thesis advisor: Carlos Di Prisco. Part of the research for the PhD Thesis was done at the University of Toronto, under the supervision of Stevo Todorcevic. Thesis title: Algunas Contribuciones a la Teoría de Espacios de Ramsey (Some Contributions to the theory of Ramsey spaces) Research Interest: Ramsey Theory, Combinatorics, Set Theory, Topological Dynamics, Functional Analysis. Current position: Teaching Assistant Professor. Department of Mathematics. University of Denver. Colorado, USA. (September present). 1

2 Publications Books 1. Mijares J. G., Teoría de Ramsey y dinámica de grupos topológicos. (Ramsey theory and dynamics of topological groups In Spanish). Ediciones IVIC, Caracas, Venezuela ISBN jmijares/libromijares2012.pdf Research Papers 1. Dobrinen N., Mijares J. G., Trujillo T., Topological Ramsey spaces from Fraïssé classes. Ramsey-classification theorems, and initial segments of the Tukey types of P-Points. arxiv: v2. Accepted. To appear in Archive for Mathematical Logic. 2. Dobrinen N., Mijares J. G., Topological Ramsey spaces and metrically Baire sets. Journal of Combinatorial Theory, Series A, 135 (2015), Mijares J. G., Torrealba D., Un espacio de Ramsey topológico de estructuras métricas (A topological Ramsey space of metric structures in Spanish). Accepted in Acta Científica Venezolana. To appear. 4. Mijares J. G., On Galvin s lemma and Ramsey spaces. Annals of Combinatorics. June 2012, Volume 16, Issue 2, Di Prisco C., Mijares J. G., Uzcategui C., Ideal games and Ramsey sets. Proceedings of the American Mathematical Society 140 (2012), Mijares J. G., Nieto J., A parametrization of the abstract Ramsey theorem. Divulgaciones Matematicas. Vol. 16, No. 2, (2008), Mijares J. G., A notion of selective ultrafilter corresponding to topological Ramsey spaces. Mathematical Logic Quarterly, 53, No. 3 (2007), Mijares J. G., Parametrizing the abstract Ellentuck theorem. Discrete Mathematics, 307 (2007) Preprints and in preparation 1. Di Prisco C., Mijares J. G., Nieto, J., Local Ramsey Theory: An abstract approach. In preparation. jmijares/localramsey pdf 2. Freites Y., Mijares J. G, p-limits and dynamics in uniform spaces. In preparation 3. Mijares J. G., Nieto J., Coideals of block sequences and the distortion problem. In preparation 4. Mijares J. G., Padilla G., Stratified spaces constitute a Fraïssé category. arxiv: v1. In preparation 2

3 5. Mijares J. G., Padilla G., A Ramsey space of infinite polyhedra and the random polyhedron. arxiv: v3. Submitted. 6. Mijares, J. G., Torrealba, D., A topological Ramsey space of metric structures and the Urysohn space. In preparation Current Employment and Some Past Positions Teaching Assistant Professor. Department of Mathematics. University of Denver. Colorado, USA. (Since September 2015). Postdoctoral Scholar. Department of Mathematics. University of Denver. Colorado, USA. (September 2013 June 2015). Associate Professor. Departamento de Matematicas, Pontificia Universidad Javeriana, Bogota, Colombia. (September 2011 August 2013). Aggregate Professor 1. Escuela de Matematicas, Universidad Central de Venezuela (November 2008 September 2012). Associate researcher. Departament of Mathematics, Instituto Venezolano de Investigaciones Cientificas (IVIC). (02 February 2011 July 2011). Postdoctoral Fellow. Instituto Venezolano de Investigaciones Cientificas (IVIC). (August Febrary 2011) Assistant Professor (March 2007 November 2008). Escuela de Matematicas, Universidad Central de Venezuela. Instructor (March 2003 March 2007). Escuela de Matematicas, Universidad Central de Venezuela. Teaching experience and related activities I have had the opportunity of teaching courses of Linear, Commutative and Abstract Algebra, Numerical Analysis, Differential Equations, Set Theory, Ramsey Theory, Mathematical Logic, Topology, Topological Dynamics, Number Theory, Calculus, Multivariable Calculus and Analysis. I have taught one-semester and quarter-long classes of varied size for undergraduates and graduate students of Mathematics, prospective Computer Scientists, Engineers, Administrators, Physicists and Biologists. Besides lecturing to students, my responsibilities have included preparing the syllabus and off course grading homework and exams. Currently, I am a Postdoctoral Scholar at the University of Denver (DU), Colorado. So far I have taught (in English) the following courses at DU: Calculus I (Fall 2013, Fall 2014), Calculus II (Winter 2014, Winter 2015) and Multivarible Calculus (Fall 2013, Spring 2014, Spring 2015). I have been supervisor for six undergraduate students, two graduate students in the Master s program and one PhD student. All of them succesfully completed their programs. You will find more information about my role as supervisor at the end of this CV. 1 In Venezuela, Aggregate Professor is a rank between Assistant Professor and Associate Professor 3

4 I had the great opportunity to be a supervisor of the Community Service Program for Students, in the Central University of Venezuela ( ). In that program, we helped students to serve as instructors in poor communities, in schools for children and youngsters with drug abuse problems and in homeless shelters. Service Co-organizer of the DU Sesquicentennial Ramsey Theory Conference. University of Denver. May 24 28, Member of the Asociation for Symbolic Logic (ASL) Membership Committee, since January Member of the School of Mathematics Postgrade Committee. University of Venezuela ( ). Central Talks Topological Ramsey Spaces and Metrically Baire Sets. Algebra and Logic Seminar. University of Denver, Colorado. May, Local Ramsey Theory: An abstract approach. SEALS University of Florida, Gainesville, FL. February-March 2015 Topological Ramsey spaces and Fraïssé structures. Logic Workshop, The City University of New York (CUNY). Graduate Center, New York, NY. September 2014 Local Ramsey Theory: An abstract approach. Set Theory Seminar, The City University of New York (CUNY). Graduate Center, New York, NY. September 2014 Topological Ramsey Spaces and Metrically Baire Sets. Boise Extravaganza in Set Theory. University of California, Riverside. June, Topological Ramsey Spaces and Metrically Baire sets. DU Sesquicentennial Ramsey Theory Conference. University of Denver, Colorado. May, 2014 Local Ellentuck Theory and Topological Ramsey Spaces. ASL North Americam Annual Meeting. University of Colorado, Boulder. May, 2014 Ramsey Theory and Dynamics of Topological Groups. DU Analysis Seminar. University of Denver, Colorado. March, A Topological Ramsey Space of Infinite Polyhedra and the Random Polyhedron. Brazilian Conference on General Topology and Set Theory. In honour of Ofelia T. Alas on the occasion of her 70th birthday. São Sebestião, Brazil. August, 2013 Ramsey Theory, Sructures and Dynamics of Topological Groups (minicourse). Universidad de Norte. Barranquilla, Colombia. Julio

5 On Topological Ramsey Spaces. Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio). Rio de Janeiro, Brazil. July, From the Pigeon Hole Principle to Topological Ramsey Spaces. Maximally Informal Meeting of Logicians. Unversity of Denver, Colorado. April, 2013 On Galvin s lemma and Ramsey spaces. 4th Latin American Congress of Mathematics. Universidad Nacional de Córdoba. Córdoba, Argentina. Agosto On Galvin s lemma and Ramsey spaces. 15th Latin American Symposium on Mathematical Logic. Universidad de Los Andes. Bogota, Colombia. Junio Versions of some model-theoretic properties for some geometric categories. XXV Meeting of the Venezuelan Mathematical Association. Universidad de Oriente. Cumaná, Venezuela. March A panorama of Ramsey Theory. XXIV Meeting of the Venezuelan Mathematical Association. Universidad Centrooccidental Lisandro Alvarado. Barquisimeto, Venezuela. April 2011 Ideal games for Ramsey sets. XXIII Meeting of the Venezuelan Mathematical Association. Universidad Simon Bolivar. Caracas, Venezuela. April 2010 Selectivity versus stability. XXII Meeting of the Venezuelan Mathematical Association. Universidad Nacional Experimental del Táchira, San Cristobal, Venezuela. March 2009 Selective coideals on F IN k. I Jornadas Colombo-Venezolanas de Teoria de Conjuntos. Departamento de Matematicas, Universidad Nacional. Bogotá, Colombia. February 2009 Coloring a matrix: Ramseys theorem for vector spaces. XX Escola de Algebra. Instituto de Matematica Pura e Aplicada (IMPA). Rio de Janeiro, Brazil. August On Ramsey s Theorem. XX Meeting of the Venezuelan Mathematical Association. Universidad Simón Bolivar. Caracas, Venezuela. April Parametrizing the abstract Ellentuck theorem (I, II and III). Set theory seminar at the Fields Institute. Toronto, Canada. February Parametrized version of the abstract Ellentuck theorem. Advanced Course on Ramsey Methods in Analysis, at the Centre de Recerca Matematica (CRM), Barcelona, Spain. January Parametrized Millikens theorem. XVI Meeting of the Venezuelan Mathematical Association. Universidad Simon Bolívar, Venezuela. Caracas, Venezuela. March Infinite games, semiselectivity and the Ramsey property. 1st Conference on Mathematical applications. Universidad de Caracabobo. Valencia, Venezuela. June

6 The Ramsey property and semiselective coideals. XVI Meeting of the Venezuelan Mathematical Association. Universidad Central de Venezuela. Caracas, Venezuela. March Other academic experience Participant in the 2nd Young Researchers in Set Theory Workshop Centre de Recerca Matematica (CRM), Barcelona, Spain. April Visit of 8 month to the Department of Mathematics of the University of Toronto as a graduate student, under the supervision of Professor Stevo Todorcevic. (January - August 2005) Advanced Course on Ramsey Methods in Analysis, at the Centre de Recerca Matematica (CRM), Barcelona, Spain. Winter st Latin American Congress of Mathematicians. Instituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro, Brazil. July 31 August Graduate Supervision Committee member at the PhD thesis defense of Timothy Trujillo (Universy of Denver). May Supervisor: Natasha Dobrinen (DU). Master s Degree thesis supervisor for Daniela Torrealba (Universidad Central de Venezuela). Finished. December PhD thesis supervisor for Jesus Nieto (Universidad Simon Bolivar). Finished. October Committee member at the PhD thesis defense of Leida Gonzalez (Universidad Central de Venezuela). May Superviso: Oscar Ordaz (UCV) Committee member at the PhD thesis defense of Franklin Galindo (Universidad Central de Venezuela). February Supervisor: Carlos Di Prisco (IVIC- UCV). Committee member member at the Master s Degree thesis defense of Raul Naulin (Universidad de Los Andes, Venezuela). December Supervisor: Carlos Uzcategui (ULA). Committee member at the PhD thesis defense of Tomas Guardia (Universidad Central de Venezuela). July Supervisor: Gabriel Padilla (UCV) Committee member at the Master s Degree thesis defense of Edilmo Carvajal (Universidad Central de Venezuela). Septiembre Supervisor: Hector Merkel (USP, Brasil). Committee member at the PhD thesis defense of Manuel Maia (Universidad Central de Venezuela). November Supervisor: Miguel Mendez (IVIC). Committee member at the Master s Degree thesis defense of Irene Santos (Universidad Central de Venezuela) Supervisor: Gisela Mendez (UCV). 6

7 Undergraduate Supervision Thesis Supervisor for Lysis Gonzalez (Universidad Central de Venezuela). Finished June Thesis Supervisor for Daniela Torrealba (Universidad Central de Venezuela). Finished February 2009 Thesis Supervisor for Yeiremi Freites (Universidad Central de Venezuela). Finished December 2008 Thesis Supervisor for Omar Sulbaran (Universidad Central de Venezuela). Finished December 2008 Thesis Supervisor for Marcelo Paez (Universidad Central de Venezuela). Finished November