CURRICULUM VITAE JOSÉ G. MIJARES
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1 CURRICULUM VITAE JOSÉ G. MIJARES Personal Information Office Address: Department of Mathematical and Statistical Sciences University of Colorado, Denver Office SCB Larimer St. Denver, CO USA Telephone: Home Address: 801 Englewood Pkwy. Apt D303 Englewood, CO USA Telephone: address 1: address 2: 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, Set Theory, Combinatorics, Topology. My research work was featured recently by the American Mathematical Society in the 2016 Celebration of the Hispanic/Latino Heritage Month: lathisms.org/wednesday-october-5th.html Current position: Instructor. Department of Mathematical and Statistical Sciences, University of Colorado, Denver. (August 2019 present) Date: November
2 2 JOSÉ G. MIJARES 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) Di Prisco C., Mijares J. G., Nieto, J., Local Ramsey Theory: An abstract approach. Accepted. To appear in Mathematical Logic Quarterly. (2) 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 of Mathematical Logic. (3) Mijares J. G., Torrealba D., Un espacio de Ramsey topológico de estructuras métricas (A topological Ramsey space of metric structures in Spanish). Accepted. To appear in Acta Científica Venezolana. (4) Dobrinen N., Mijares J. G., Topological Ramsey spaces and metrically Baire sets. Journal of Combinatorial Theory, Series A, 135 (2015), (5) Mijares J. G., On Galvin s lemma and Ramsey spaces. Annals of Combinatorics. June 2012, Volume 16, Issue 2, (6) Di Prisco C., Mijares J. G., Uzcategui C., Ideal games and Ramsey sets. Proceedings of the American Mathematical Society 140 (2012), (7) Mijares J. G., Nieto J., A parametrization of the abstract Ramsey theorem. Divulgaciones Matematicas. Vol. 16, No. 2, (2008), (8) Mijares J. G., A notion of selective ultrafilter corresponding to topological Ramsey spaces. Mathematical Logic Quarterly, 53, No. 3 (2007), (9) Mijares J. G., Parametrizing the abstract Ellentuck theorem. Discrete Mathematics, 307 (2007) Preprints and in preparation (1) Arias A., Dobrinen N., Girón-Garnica G., and Mijares J. G., Banach spaces from barriers in high dimensional Ellentuck spaces. In preparation. (2) Mijares J. G., Padilla G., A Ramsey space of infinite polyhedra and the random polyhedron. arxiv: v3. Submitted. Employment Instructor. Department of Mathematical and Statistical Sciences, University of Colorado, Denver. (August 2019 present) Teaching Assistant Professor. Department of Mathematics. University of Denver. Colorado, USA. (September 2015 June 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). 1 In Venezuela, Aggregate Professor is a rank between Assistant Professor and Associate Professor
3 CURRICULUM VITAE 3 Associate researcher. Department 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. References (1) Alvaro Arias. University of Denver. alvaro.arias@du.edu. Phone: (Concerns teaching) (2) Carlos Di Prisco. Univesidad de Los Andes, Colombia. ca.di@uniandes.edu.co. Phone: (3) Natasha Dobrinen. University of Denver. natasha.dobrinen@du.edu. Phone: (4) Michael K. Kinyon. University of Denver. mkinyon@math.du.edu. Phone: (Concerns teaching) (5) Roman Kossak. City University of New York. RKossak@gc.cuny.edu. Phone: (6) Petr Vojtechovsky. University of Denver. petr@math.du.edu. Phone: (Concerns teaching) (7) Stevo Todorcevic. Univerisity of Toronto. stevo@math.toronto.edu. Phone: Teaching experience and related activities Currently, I am a Instructor at the University of Colorado, Denver. In the Fall semester of 2016, I am teaching Calculus III (multivariable), Mathematics for the Liberal Arts, and Introduction to Abstract Mathematics. Recently, I was a Postdoctoral Scholar and later a Teaching Assistant Professor at the University of Denver (DU), Colorado. There I taught the following courses: Calculus I (Fall 2013, Fall 2014), Calculus II (Winter 2014, Winter 2015), Multivarible Calculus (Fall 2013, Spring 2014, Spring 2015), Calculus for Business and the Social Sciences (Fall 2015, Winter 2016, Spring 2016) and a Foundations Seminar on Ramsey Theory (Winter 2016). I taught for more than 10 years in the main university of Venezuela and two years in one of the best universities of Colombia; graduate and undergraduate courses of Linear, Commutative and Abstract Algebra, Numerical Analysis, Differential Equations, Set Theory, Ramsey Theory, Mathematical Logic, Topology, Topological Dynamics, Number Theory, Partial Differential Equations, Calculus, Multivariable Calculus and Analysis. I have taught one-semester and quarter-long classes of varied sizes for graduate and undergraduate students of Mathematics, Business, prospective Computer Scientists, Engineers, Administrators, Physicists, Chemists, Biologists, among others. Besides lecturing to students, my responsibilities have included preparing the syllabus, curricula development, course design, supervising Teaching Assistants, and off course grading homework and exams. I have been supervisor for six undergraduate students, one PhD student and two graduate students in the Master s program (these have been distance supervisions
4 4 JOSÉ G. MIJARES of Master s theses). All of them succesfully completed their programs. One of them will defend her Master s thesis in May You will find more information about my role as supervisor at the end of this CV. I would like to mention that during the Winter Quater of 2016 at the University of Denver, I taught a Foundations Seminar which I titled Mathematics of Coloring (after the book by A. Soifer, but the content of my seminar is presented in a way intended to be friendly for a general audience). It is a gentle introduction to Ramsey Theory and its applications for undergraduate students with majors other than Mathematics. It has been a wonderful project which has given me a good measure of the scope and limits of this field when exposed to a general audience. With the data collected and the experience gained from this course I started to write a book intended for the same audience. Other teaching-related skills: I am well-versed in Webassign, Blackboard, Canvas, Microsoft Office Word, Excel, and Powerpoint. I also have experience using Adobe Connect. Other teaching-related experiences: When I worked at the Pontificia Universidad Javeriana, in Bogota, Colombia (September 2011 August 2013), I actively participated in departmental recruiting activities, consisting of meetings with prospective math students and presentations about mathematics as a career and its possibilities in the job martket, the mission of this particular mathematics department and diverse mathematical topics, emphasizing their connection with reallife problems. In my years at the Universidad Central de Venezuela, I actively participated in curriculum development activities, especially in the areas of Elementary Geometry, Algebra, Fundamentals of Mathematics and Logic. Also, I served as course coordinator for Calculus I and II, and was member of departmental graduate and undergraduate committees. 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. During the Winter quarter of 2015, I had the beautiful opportunity to have a hard of hearing student in my Calculus class. She needed a visuallycentered approach to her learning, and the aid of a special (professional) note-taker. It was a very rewarding experience to be able to provide her with the required accommodations in my own classroom. I also received her frequently during office hours. That experience made me realize that I can do much more as a teacher, serving a more diverse student body, being conscious of using the teaching experience as an opportunity to help develop our awarness of the need of inclusion and equity in the community and our capacity to become agents of positive change in this respect. Service Reviewer for AMS Mathematical Reviews (Since May 19, 2016)
5 CURRICULUM VITAE 5 Member of the Asociation for Symbolic Logic (ASL) Membership Committee. January 2013 October Co-organizer of the DU Sesquicentennial Ramsey Theory Conference. University of Denver. May 24 28, Member of the School of Mathematics Postgrade Committee. Central University of Venezuela ( ). Talks (Invited) Ultrafilter limits in uniform spaces. AMS Western Sectional Meeting Special Session in Set Theory of the Continuum. University of Denver, October 8, (Invited) Ultrafilter limits in uniform spaces. Front Range Logic Saturday. University of Denver, May 21, (Invited) On Local Ramsey Theory and Selectivity. SEALS University of Florida, Gainesville, FL. February 27, (Invited) Topological Ramsey Spaces and Metrically Baire Sets. Algebra and Logic Seminar. University of Denver, Colorado. May, (Invited) Local Ramsey Theory: An abstract approach. SEALS University of Florida, Gainesville, FL. February-March 2015 (Invited) Topological Ramsey spaces and Fraïssé structures. Logic Workshop, The City University of New York (CUNY). Graduate Center, New York, NY. September 2014 (Invited) 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 (Invited) Local Ellentuck Theory and Topological Ramsey Spaces. ASL North Americam Annual Meeting. University of Colorado, Boulder. May, 2014 (Invited) 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 (Invited) Ramsey Theory, Sructures and Dynamics of Topological Groups (minicourse). Universidad de Norte. Barranquilla, Colombia. Julio (Invited) On Topological Ramsey Spaces. Pontifícia Universidade Católica do Rio de Janeiro (PUC-Rio). Rio de Janeiro, Brazil. July, (Invited) 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 2012.
6 6 JOSÉ G. MIJARES 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 (Invited) 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 (Invited) 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 Milliken s theorem. XVI Meeting of the Venezuelan Mathematical Association. Universidad Simon Bolívar, Venezuela. Caracas, Venezuela. March (Invited) Infinite games, semiselectivity and the Ramsey property. 1st Conference on Mathematical applications. Universidad de Caracabobo. Valencia, Venezuela. June 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
7 CURRICULUM VITAE 7 Graduate Supervision. Master s Degree thesis supervisor for Yeiremi Freites (Universidad Central de Venezuela). Finished. September 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. January 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 Supervisor: 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). 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 2004
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