MARLIO PAREDES CURRICULUM VITAE

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1 MARLIO PAREDES CURRICULUM VITAE UNIVERSITY ADDRESS: Department of Mathematics School of Science and Technology Universidad del Turabo PO Box 3030, Gurabo, PR Puerto Rico, USA Web page: DATE AND PLACE OF BIRTH: June 18, 1963, Cali, Colombia. EDUCATION: Ph.D. in Mathematics (Homologated in USA by World Education Services), State University of Campinas, Brazil, 2000, Thesis title: Aspects of the complex geometry of flag manifolds, Advisor: Dr. Caio Negreiros. M.S. in Mathematics (Homologated in USA by World Education Services), Universidad del Valle, Colombia, 1991, Dissertation title: t Hooft Instantons on the 4-sphere, Advisor: Dr. Carlos Rodriguez. B.S. in Mathematics (Homologated in USA by World Education Services), Universidad del Valle, Cali, Colombia, APPOINTMENTS: 2009-Present: Co-PI of the NSF (National Science Foundation) project BPC-A: Caribbean Computing Center for Excellence, PI: Dr. Juan Arratia Present: Coordinator of AGMUS Student Research Development Center activities at Universidad del Turabo Present: Co-PI of the NSF (National Science Foundation) project AGMUS Institute of Mathematics, PI: Dr. Juan Arratia Present: Professor, School of Science and Technology, Universidad del Turabo, Puerto Rico, USA : Professor (Profesor Titular), School of Mathematics, Universidad Industrial de Santander, Colombia : Associate Professor (Profesor Asociado), School of Mathematics, Universidad Industrial de Santander, Colombia : Assistant Professor (Profesor Asistente), School of Mathematics, Universidad Industrial de Santander, Colombia : Instructor, Department of Mathematics, Universidad del Valle, Colombia. VISITING POSITIONS: 1. Permanent Visiting Researcher, Institute of Mathematics and its Applications, Universidad Sergio Arboleda, Colombia, 2009-Present. 2. Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada, July 6 th to August 7 th Institute for Computing and Informatics Studies ICIS, Electrical and Computer Engineering Department, University of Puerto Rico at Mayagüez, February 27 th to March 17 th 2006.

2 4. Department of Mathematical Sciences, University of Puerto Rico at Mayagüez, February 20 th to 26 th Institute for Computing and Informatics Studies ICIS, Electrical and Computer Engineering Department, University of Puerto Rico at Mayagüez, October 17 th to November 18 th Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Brazil, June 9 th to August 15 th Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Brazil, July 1 st to August 2 nd Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Brazil, January 7 th to March 22 nd TEACHING EXPERIENCE: Undergraduate courses: Elementary Algebra, Intermediate Algebra, Precalculus I and II, Calculus I, II and III, Differential Equations, Mathematics for Business I and II, Linear Algebra, Euclidean Geometry, Projective Geometry, Introduction to Differential Geometry, Number Theory, Set Theory, Abstract Algebra, Topology, and Introduction to Algebraic Topology. Graduate courses: Differential Geometry, Advanced Calculus, Ordinary Differential Equations and Differential Geometry for Physicists. RESEARCH AND INTERESTS AREAS: Differential Geometry, Combinatorics, Mathematical and Statistical Modeling, Applied Mathematics and Mathematics Education. PREPRINTS: M. Paredes y J.F. Arratia, La Academia Sabatina en Biomatemática, Bioestadística y Genómica de la Universidad del Turabo: Proyecto Instituto de Matemáticas del SUAGM. R.R. Canales and M. Paredes, Phytoremediation Dynamic Model as an Assessment Tool in the Environmental Management. M. Paredes y J.F. Arratia, El Proyecto Centro de Computación del Caribe para la Excelencia en la Universidad del Turabo: Una Herramienta Efectiva para Promover el Estudio de la Computación y la Ingeniería. PUBLICATIONS: 1. M. Paredes, Cosymplectic metrics on flag manifolds and partial differential equations, Abstracts of Papers presented to the AMS, Vol. 33, No.1, Issue 167, p. 263, M. Paredes, J. Villamizar, L. Bautista and D. Rodriguez, The structure of the computational signal algebra and its application in digital image processing, Revista Dyna, Vol. 78, No. 166 (2011), M. Paredes and S. Pinzón, On the codifferential of the Kähler form and cosymplectic metrics on maximal flag manifolds, Turkish Journal of Mathematics 34 (2010), M. Paredes and S. Pinzón, Some remarks about cosymplectic metrics on maximal flag manifolds, in Geometric and Topological Methods in Quantum Field Theory, , Cambridge University Press, M. Paredes and S. Pinzón, Tournaments and parabolic almost complex structures on flag manifolds, Contemporary Mathematics, Vol. 509 (2010), M. Paredes and S. Pinzón, Curvature on reductive homogeneous spaces, Revista Colombiana de Matemáticas Vol. 41 (2007), N. Cohen, C. Negreiros, M. Paredes, S. Pinzón and L. San Martin, f-structures on the classical flag manifold which admit (1, 2) symplectic metrics, Tohoku Mathematical Journal Vol. 57, No. 2 (2005),

3 8. M. Paredes, D. Rodríguez and J. Villamizar, La estructura algebraica del espacio de señales unidimensionales, Revista Integración Vol. 23, No. 2 (2005), N. Cohen, M. Paredes and S. Pinzón, Locally transitive tournaments and the classification of (1,2) symplectic metrics on maximal flag manifolds, Illinois Journal of Mathematics Vol. 48, No. 4 (2004), M. Paredes and S. Pinzón, Geometría de variedades bandera, Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, Vol. 28 (106) (2004), J.S. Fuentes, M. Paredes and S. Pinzón, Acerca de los dígrafos localmente transitivos, Revista Integración Vol. 22 (2004), M. Paredes, Estabilidad de aplicaciones armónicas definidas sobre una superficie y con valores en una variedad bandera maximal, Lecturas Matemáticas Vol. 24 (2003), M. Paredes, Families of (1,2) symplectic metrics on full flag manifolds, International Journal of Mathematics and Mathematical Sciences 29:11 (2002), M. Paredes, P. González and B. McKay, Sobre un tipo especial de torneos y una clase de metricas sobre Variedades Bandera, Proceedings of the First Iberoamerican Conference on Computational Mathematics, Colombian Mathematical Society, Bogotá, M. Paredes, Some results on the geometry of full flag manifolds and harmonic maps, Revista Colombiana de Matemáticas Vol. 34, No. 2 (2000), M. Paredes and S. Pinzón, Variedades bandera maximales, torneos y aplicaciones armónicas, Revista Integración Vol. 18, No. 2 (2000), M. Paredes, Torneos y estructuras parabolicas sobre variedades bandera maximales, Revista Integración Vol. 17, No. 1 (1999), S. Pinzón and M. Paredes, La derivada de Carathéodory en R 2, Revista Integración Vol. 17, No. 2 (1999), G.A. González and M. Paredes, Formulación geométrica de la dinámica clásica no relativista de una partícula, Revista Integración Vol. 16, No. 2 (1998), G.A. González and M. Paredes, Haces fibrados y teorías de calibración, Revista Integración Vol. 15, No. 1 (1997), G.A. González and M. Paredes, Geometría de instantones, Proceedings of the 1 st Meeting of Differential Geometry in Physics, Universidad de los Andes, Bogotá, Colombia, G.A. González and M. Paredes, Topología teorías de campo, Proceedings of the 1 st Meeting of Differential Geometry in Physics, Universidad de los Andes, Bogotá, Colombia, G.A. González, M. Paredes and E. Reyes, Teorías de calibracíon: aspectos matemáticos básicos, Proceedings of the 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, G.A. González, M. Paredes and E. Reyes, Haces fibrados, Proceedings of the 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, G.A. González, M. Paredes and E. Reyes, Conexón y curvatura, Proceedings of the 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, G.A. González, M. Paredes and E. Reyes, Teorías de calibracíon: descripción geométrica, Proceedings of the 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, PRESENTATIONS 1. Analysis of Soluble Reactive Phosphorus (SRP) Dynamics in Laguna Cartagena Using Ordinary Differential Equations and Software STELLA (V8), AGMUS 2012 Research Symposium, San Juan de Puerto Rico, September 2012, with Torres-Velásquez, B.C. Sánchez-Colón, Y.M., and Schaffner, F.C., 2. Cosymplectic Metrics on Flag Manifolds and Partial Differential Equations, 2012 Joint Mathematics Meetings, AMS Session on Manifolds, Cell Complexes, and Global Analysis II, Boston, 2012.

4 3. The Combinatorial Geometry of Classical Flag Manifolds, Topology Conference Summer 2011, The City College of New York, New York, Tournaments and parabolic almost complex structures on flag manifolds, IX Encuentro de Investigadores, Universidad del Turabo, The Combinatorial Geometry of Classical Flag Manifolds, Spring Lecture Series 2010: Minimal Surfaces and Mean Curvature Flow, University of Arkansas, Fayetteville, Locally transitive digraphs, VII Encuentro de Investigadores, Universidad del Turabo, Tournaments and parabolic almost complex structures on flag manifolds, 2 nd Jairo Charris Seminar in Algebra and Analysis, Bogotá, Colombia, Basic mathematical methods in signal processing, Third International Meeting in Mathematics, Universidad Sergio Arboleda, Bogotá, Colombia, On a condition to cosymplectic metrics on a maximal flag manifold, Seventh Americas School in Differential Equations and Nonlinear Analysis, Cartagena, Colombia, The codifferential of the Kähler form on a maximal flag manifold, 16 th National Congress of Mathematics, Colombian Society of Mathematics, Medellín, Colombia, Cosymplectic metrics on maximal flag manifolds, Summer School on Geometric and Topological Methods for Quantum Field Theory, Universidad de los Andes, Villa de Leyva, Colombia, Locally Transitive Digraphs and Geometry of Flag Manifolds, 1 st Jairo Charris Seminar in Algebra and Analysis, Universidad Sergio Arboleda, Bogotá, Colombia, The codifferential of the Kähler form on a maximal flag manifold, XXII Seminario Interuniversitario de Investigacion en Ciencias Matemáticas, University of Puerto Rico at Ponce, Ponce, Puerto Rico, The algebraic structure of the signals space, XXII Seminario Interuniversitario de Investigacion en Ciencias Matemáticas, University of Puerto Rico at Ponce, Ponce, Puerto Rico, 2007, with Jorge Villamizar and Domingo Rodríguez. 15. Locally transitive digraphs, XVII Encuentro de Geometría y sus Aplicaciones y V Encuentro de Aritmética, Universidad Pedagógica Nacional, Bogotá, Colombia, On some curvature types in reductive homogeneous spaces, XXI Seminario Interuniversitario de Investigacion en Ciencias Matemáticas, Universidad del Turabo, Gurabo, Puerto Rico, Curvature on reductive homogeneous spaces, 15 th National Congress of Mathematics, Colombian Society of Mathematics, Bogotá, Colombia, On the combinatory of the maximal flag manifolds, XI Encuentro de la Escuela Regional de Matemáticas - ERM, Universidad del Valle, Cali, Colombia, Geometry of maximal flag manifolds, Taller sobre Métodos Geométricos, Universidad de los Andes, Bogotá, Colombia, Locally transitive digraphs and geometry, 2 nd Latinamerican Congress of Mathematicians, UMALCA, Universidad Nacional Autónoma de México - UNAM, Cancún, México, Curvature on reductive homogeneous spaces(poster), 2 nd Latinamerican Congress of Mathematicians, UMALCA, Universidad Nacional Autónoma de México - UNAM, Cancún, México, Locally transitive digraphs, 2 o Congreso Nacional de Matemáticas Asistidas por Computador, Universidad de Caldas y Universidad Nacional sede Manizales, Manizales, Colombia, Hermitic geometry of flag manifolds, Academic festival dedicated to Jairo Charris Castañeda, Academia Colombiana de Ciencias Exactas Físicas y Naturales, Bogotá, Colombia, 2003, with Sofía Pinzón. 24. f-structures on the classical flag manifold which admit (1,2)-symplectic metrics, 24 th Brazilian Colloquium of Mathematics, IMPA, Rio de Janeiro, Brazil, 2003, with N. Cohen, C. Negreiros, S. Pinzón and L. San Martin. 25. Locally transitive tournaments and the geometry of maximal flag manifolds(poster), 24 th Brazilian Colloquium of Mathematics, IMPA, Rio de Janeiro, Brazil, 2003, with N. Cohen, and S. Pinzón. 26. Locally transitive tournaments and (1,2)-symplectic metrics on flag manifolds, XII Brazilian School of Differential Geometry, Universidade Federal de Goiás, Goiania, Brazil, 2002.

5 27. Geometry of homogeneous manifolds, First National Week of the Science, Universidad Industrial de Santander, Bucaramanga, Colombia, Maximal flag manifolds, tournaments and harmonic maps, VIII Encuentro de la Escuela Regional de Matemáticas - ERM, Universidad de Nariño, Pasto, Colombia, On a special type of tournaments and a class of metrics on flag manifolds, First Iberoamerican Conference on Computational Mathematics, Colombian Mathematical Society, Bogotá, Colombia, Cosymplectic metrics on flag manifolds, III Simposio Nororiental de Matemáticas, Universidad Industrial de Santander, Bucaramanga, Colombia, (1,2)-Symplectic metrics on maximal flag manifolds, XIV Congreso Nacional de Matemáticas, Sociedad Colombiana de Matemáticas, Bogotá, Colombia, (1,2)-Symplectic metrics on maximal flag manifolds, XI Escola de Geometria Diferencial, Universidade Federal Fluminense, Niterói, Brazil, (1,2)-Symplectic metrics on full flag manifolds, First Latin American Congress of Mathematicians, UMALCA, IMPA, Rio de Janeiro, Brazil, (1,2)-Symplectic structures on flag manifolds and harmonic maps(poster), 22 nd Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, 1999, with Caio Negreiros. 35. Fibre bundles and gauge theories, Segundo Evento Internacional Científico Metodológico de Matemática y Computación - COMAT'95, Universidad de Matanzas, Matanzas, Cuba, 1995, con Guillermo González. 36. A mathematical model to the space time, VI Encuentro de Geometría y sus Aplicaciones, Universidad Pedagógica Nacional, Bogotá, Colombia 1995, with Guillermo González. 37. Geometric formulation of the non-relativistic classical dynamics of a particle(poster), XVI Congreso Nacional de Física, Universidad del Valle, Cali, Colombia, 1995, with Guillermo González. 38. Hamiltonian formulation of the relativistic dynamic of a charged particle(poster), XVI Congreso Nacional de Física, Universidad del Valle, Cali, Colombia, 1995, with Guillermo González. 39. Asymptotic structure of the space time in the null infinite(poster), XVI Congreso Nacional de Física, Universidad del Valle, Cali, Colombia, 1995, with F. Durán and G. González. 40. Asymptotic structure of the electromagnetic and gravitational flelds in the spatial infinite(poster), XVI Congreso Nacional de Física, Universidad del Valle, Cali, Colombia, 1995, with G. García and G. González. 41. Geometry of Instantons, First Meeting of Differential Geometry and Physics, Universidad de los Andes, Bogotá, Colombia, 1994, with Guillermo González. 42. Topology and fields theory, First Meeting of Differential Geometry and Physics, Universidad de los Andes, Bogotá, Colombia, 1994, with Guillermo González. 43. The topology of the space time, First National School of Astrophysics, Universidad de los Andes, Bogotá, Colombia, 1994, with Guillermo González. 44. Gauge theories: basic mathematical aspects, 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, 1993, with G. González and E. Reyes. 45. Fibre bundles, 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, 1993, with G. González and E. Reyes. 46. Connection and curvature, 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, 1993, with G. González and E. Reyes. 47. Gauge theories: geometric description, 9 th National School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, 1993, with G. González and E. Reyes. 48. Instantons on the 4-sphere, 7 th National School of Theoretical Physics, Universidad de los Andes, Bogotá, Colombia, El razonamiento proporcional en los estudiantes que ingresan a la División de Ingenierías de la Corporación Universitaria Autónoma de Occidente, Congreso Interamericano de Educación, Universidad del Valle de México, México D.F., 1991, with Omar Diaz. 50. Proyecto nivel de razonamiento de los estudiantes que ingresan a la División de Ingenierías de la Corporación Universitaria Autónoma de Occidente, XI Reunión Nacional

6 de la Asociación Colombiana de Facultades de Ingeniería ACOFI, Universidad Autónoma de Occidente, Cali, Colombia, 1991, with Omar Diaz. INVITED PRESENTATIONS Cosymplectic metrics on flag manifolds and differential equations, School of Mathematics, Universidad Industrial de Santander, Locally transitive digraphs, AGMUS Institute of Mathematics, Metropolitan University, The Combinatorial Geometry of Classical Flag Manifolds, Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada, Mathematical modeling in biology, Biomathematics Seminar UT, Universidad del Turabo, Locally transitive digraphs, Seminar of the Department of Mathematics, University of Puerto Rico at Humacao, Locally transitive digraphs, Colloquium of the Department of Mathematics, University of Puerto Rico at Mayagüez, Geometry of maximal flag manifolds, Colloquium of the Department of Mathematics, Universidad de los Andes, Bogotá, Colombia, Locally transitive digraphs, Primer Encuentro Internacional de Ciencias: Naturales, Ambientales y Matemáticas, Enfoques Interdisciplinarios, Universidad Distrital, Bogotá, Colombia, The combinatorial geometry of maximal flag manifolds, Colloquium of the Department of Mathematics, University of Puerto Rico at Mayagüez, Tournaments, Encuentro IFEM (Instituto para el Fortalecimiento de la Enseñanza de las Matemáticas), University of Puerto Rico at Mayagüez, Rincón, Puerto Rico, On locally transitive tournaments, Department of Mathematics, Universidad de Antioquia, WORKSHOPS FOR TEACHERS OFFERED IN AMCT UT PROJECT: Arithmetic and geometric sequences and series, December Mathematical modeling and solution of word problems, February Inequalities their solution and their representation, November Mathematical logic, September Angles that form a transversal to parallel lines, Summer Learning about the congruences, Summer About the mathematical demonstrations, Summer Positive integer exponents, February UNIVERSITY SERVICE: 1. Member of the Academic Senate, Universidad del Turabo, January 2012 to present. 2. Coordinator of Saturday Academy, Universidad del Turabo, January 2009 to present. 3. Mathematics curriculum specialist, Turabo Math and Science Alliance (AMCT, Spanish acronym), prepared syllabi and assessments for teacher professional development activities aligned with local Education Department content standards for the AMCT, a NCLB Title II-B funded Project, PI: Dr. Oscar Saenz, 2009 to present. 4. Member of Administrative Council, Universidad del Turabo, August 2008 to August Proposal to creation of an undergraduate program in Computational Science, Universidad del Turabo, Member of the Academic Senate, Universidad del Turabo, August 2007 to July Director of the School of Mathematics, Universidad Industrial de Santander, January 27 th 2005 to October 5 th Member of the Committee for creation of the undergraduate program in Mathematics, Universidad Industrial de Santander, Member of the Committee for creation of the graduate program in Mathematics, Universidad Industrial de Santander,

7 10. Director of the project: Specialized Computational Laboratories of Mathematics, School of Mathematics, Universidad Industrial de Santander, September 2004 to December 2005, U$ Research Director of the Faculty of Science, Universidad Industrial de Santander, April 1 st 2002 to August 31 st Member of the Faculty of Science Council, Universidad Industrial de Santander, April 1 st 2002 to August 31 st Member of the Faculty of Science Council, Universidad Industrial de Santander, January 27 th 2005 to October 5 th Member of the Research Central Committee, Universidad Industrial de Santander, April 1 st 2002 to August 31 st RESEARCH PROJECTS: Combinatorial Geometry of Homogeneous Manifolds, funded by Universidad del Turabo, 2010 present. Collaborative Research with UPRM on Mathematical Methods in Signal Processing, funded by Universidad del Turabo, Cosymplectic metrics on a maximal flag manifold, funded by Universidad del Turabo, Generalized Hermitic geometry on Flag Manifolds, funded by Colciencias and Universidad Industrial de Santander, , with Sofía Pinzón. Design of an integrated architecture of the production planning and scheduling of activities, project funded by Colciencias, Impresos y Empaques D Carton and Universidad Industrial de Santander, , with Gustavo Bula. Geometry of the homogeneous manifolds associated to semisimple groups, funded by Colciencias and Universidad Industrial de Santander, , with Sofía Pinzón. Flag manifolds and harmonic maps, funded by Colciencias and Universidad Industrial de Santander, (1,2)-Symplectic structures on maximal flag manifolds, funded by Universidad Industrial de Santander, Study of the application of topological and geometrical methods in gauge fields theories, funded by Universidad Industrial de Santander, , with Guillermo González. PROPOSAL GRANTED BY NSF BPC-A: Caribbean Computing Center for Excellence, Ana G. Mendez University Sistem, PI: Juan Arratia, PROPOSALS SUBMITTED TO NSF (Co-PI Participation) EXP: An online real-time math tutoring and mentoring support service for STEM Hispanic Students, Universidad del Turabo, PI: Angel Rivera, CPS: Small: Collaborative Research: A Holomorphic Oriented Geometric Framework for Non-Abelian Signal-based Information Processing in Bioacoustics, Universidad del Turabo, with Domingo Rodriguez, ECE-UPRM, UT PRISM Program, PI: Juan Arratia, Ana G. Mendez University Sistem, BPC-A: Caribbean Computing Center for Excellence, Ana G. Mendez University Sistem, PI: Juan Arratia, UT PRISM Program, PI: Juan Arratia, Ana G. Mendez University Sistem, CREST-UT 2009, Universidad del Turabo, PI: Rolando Roque, Co-PI in one of the projects of the proposal. CDI Type I: Signal Flow Characterization in Distributed Systems for Novel Information Representation, PI: Domingo Rodriguez, Electrical and Computer Engineering Department, UPR-Mayaguez, 2008.

8 CREST-UT 2008, Universidad del Turabo, PI: Roberto Lorán, Co-PI in one of the projects of the proposal. CI-TEAM Demonstration Project: Cyber-Infrastructure for Collaborative Information Processing, PI: Wilson Rivera, PROPOSALS SUBMITTED TO OTHER AGENCIES Turabo Saturday Research Academy, Google RISE Program. AWARDS AND DISTINCTIONS: Erdös Number = 2. Erdös Number Project Webpage: Biography featured in the 2010 edition of Continental Who s Who. CAPES Fellowship, , Brazil. COLCIENCIAS Fellowship, , Colombia. ICFES-BID-UNIVALLE Fellowship, , Colombia. SUPERVISED GRADUATE STUDENTS Brenda Carolina Torres, Ph.D. In Environmental Sciences, in progress. Sofía Pinzón Durán, M.S. in Mathematics, Universidad Industrial de Santander, SUPERVISED UNDERGRADUATE STUDENTS (Undergraduate Research) 1. Oscar Reynaldo Madiedo Castro, Licenciatura en Matemáticas, The lattice of pretopologies on an arbitrary set S, Universidad Industrial de Santander, Germán Eutimio Sora Yanquén, Licenciatura en Matemáticas, Visualization of 3D surfaces by Voronoi Diagrams, Universidad Industrial de Santander, Jairo Arturo Ayala Godoy, Licenciatura en Matemáticas, The Euler characteristic, Universidad Industrial de Santander, Luisa Fernanda Martínez Rojas, Licenciatura en Matemáticas, Positive rational solutions of the equation =, Universidad Industrial de Santander, Érika Alejandra Velasco, Licenciatura en Matemáticas, When the inverse function is equal to 1/, Universidad Industrial de Santander, Luz Janeth Llerena, Licenciatura en Matemáticas, Differential forms and the Maxwell equations, Universidad Industrial de Santander, Diana Lucero Pinzón Ortiz, Licenciatura en Matemáticas, A curious connection between Fermat numbers and finite groups, Universidad Industrial de Santander, Nubia Alexandra Rondón, Licenciatura en Matemáticas, The zeta transform and some applications, Universidad Industrial de Santander, Jhon Fredy Delgado, Licenciatura en Matemáticas, Introduction to the hyperbolic geometry, Universidad Industrial de Santander, Leidy Milena Carrillo Jaimes, Licenciatura en Matemáticas, Introduction to the Lie groups, Universidad Industrial de Santander, Luz Dary Castellanos Prada, Licenciatura en Matemáticas, Linear systems of ordinary differential equations and some applications, Universidad Industrial de Santander, Edwin Flórez Gómez, Licenciatura en Matemáticas, Some aspects of the theory of tournaments, Universidad Industrial de Santander, Edinsón Rafael Diaz Manjarrez, Licenciatura en Matemáticas, Differentiable manifolds and applications in physics, Universidad Industrial de Santander, Luis Antonio Ortiz, Licenciatura en Matemáticas, Tensors and applications, Universidad Industrial de Santander, SUPERVISED HIGH SCHOOL STUDENTS 1. Jennifer Patritti Cram,Escuela Superior Manuela Toro Morice, Research Project: Linear Algebra and the Phenomena of Autosomal Inheritance: The Huntington Disease Case, May

9 2012. This project was awarded as the Best Oral Presentation at AGMUS Spring 2012 Pre- College Research Symposium. 2. Jennifer Patritti Cram,Escuela Superior Manuela Toro Morice, Research Project: Analysis of the Chromosome 15Q11-Q13 Prader-Willi Syndrome and the OCA2 Protein, December Joseph Colón and Christian Rodríguez, Escuela Superior Manuela Toro Morice, Research Project: The Logistic Population Model and the United States Case, May Jennifer Patritti Cram,Escuela Superior Manuela Toro Morice, Research Project: Modeling the Puerto Rican Population, May Jennifer M. Reyna, Petra Mercado Bougart High School, Humacao and Rafael A. Martinez, Antonio Fernos Isern Vocational High School, San Lorenzo. Research Project: A Mathematical Model to Determine the Time of Decease, December Yuliam M. Pedraza Acevedo and Lorianie M. Colón Navarro Colégio San Juan Apostol y Evangelista, Caguas. Research Project: A Mathematical Model to Compare the Mexican Population living in Mexico and the Immigrants in USA, December Jennifer Patritti Cram,Escuela Superior Manuela Toro Morice, Caguas and Melinda Vargas Ramos Colegio San Antonio Abad, Humacao. Research Project: Non-Stop Decomposition. December This project was awarded as the Best Oral Presentation at AGMUS Winter 2010 Pre-College Research Symposium. 8. Joseph Colón and Taryn M. Cruz, Manuela Toro High School, Research Project: A Mathematical Model for a Biochemical Switch, May Luis M. Ortiz, Manuela Toro High School; Celizbets Colón, La Merced School, Cayey; and Zabdiel Dueño, Petra Zenón de Fabery Vocational School, Trujillo Alto. Research Project: A Mathematical Model for the Evolution of an Epidemic, May Carlos Cruz, Pedro Valentín and Brenda Flores, Manuela Toro High School, Caguas. Research Project: A Mathematical Model for a Sudden Insect Outbreak, May Ángel Esparra, Denise Rivera and Ashly M. Rivera, Manuela Toro High School, Caguas. Research Project: A Mathematical Model for a Fishery, May COMMITTEE MEMBER FOR DOCTORAL DISSERTATIONS AND MASTER THESIS IN PROGRESS 1. Rafael R. Canales Pastrana, Phytoremediation Dynamic Model for Environmental Management, Ph.D. in Enviromental Sciences, Universidad del Turabo. 2. José Oscar González, Ph.D. in Enviromental Sciences, Universidad del Turabo. 3. Maritza Gómez Agosto, Ph.D. in Enviromental Sciences, Universidad del Turabo. 4. Sonia López, Ph.D. in Enviromental Sciences, Universidad del Turabo. 5. Idalides Vergara, Ph.D. In Computer Science and Engineering, University of South Florida. COMMITTEE MEMBER FOR DOCTORAL DISSERTATIONS María del Carmen Cotto Maldonado, Ph.D. in Enviromental Sciences, Heterogeneous Catalysis Applied To Advanced Oxidation Processes (AOPs) For Degradation of Organic Pollutants, Universidad del Turabo, Eliseo Gallo Albarracín, Design of a Desition Support System (DSS) for selection of a logistic operator to storage, reconditioning and distribution of products, Doctorate in Business Administration (Management Information Systems), Universidad del Turabo, Gonzalo García, Ph.D. in Physics, Thin disks as sources of stationary Einstein-Maxwell fields, Universidad Industrial de Santander, COMMITTEE MEMBER FOR MASTER THESIS 1. Yashira Sánchez, M.S. in Enviromental Sciences, Effect of Water Level Fluctuations and Rainfall on Phosphorus Release and Binding at a Tropical Freshwater Wetland (Laguna Cartagena, PR), Universidad del Turabo, 2012.

10 2. Gladys P. Ardila, M.S. In Mathematics, f-structures on flag manifolds, Universidad Industrial de Santander, Bucaramanga, Colombia, Olga G. Viña, M.S. In Mathematics, Affine almost complex structures, Universidad Industrial de Santander, Bucaramanga, Colombia, Hector E. Guerrero Mora, M.S. in Mathematics, Minimal Immersions of hypermanifolds in the sphere by first eigenfunctions, Universidad del Valle, Cali, Colombia, Claudia I. Granados, M.S. in Mathematics, On the existence of a conformal metric to the Euclidian metric on the n-sphere, Universidad del Valle, Cali, Colombia, Arnoldo Teherán, M.S. in Mathematics, Elemental Abelian p-extensions, Universidad del Valle, Cali, Colombia, Omar A. Espitia, M.S. in Physics, Interpretation of static solutions of the Einstein equations in the vacuum in terms of counterrotating disks models, Universidad Industrial de Santander, Antonio C. Gutiérrez, M.S. in Physics, Stationary axially symmetric Einstein-Maxwell fields, Universidad Industrial de Santander, Bucaramanga, Colombia, Francisco J. Caro, M.S. in Mathematics, Invariant polynomials of Hermitian matrix arguments and their applications in statistical distribuition theory, Universidad de Antioquia, Medellín, Colombia, Favio E. Cala, M.S. in Physics, Interpretation of magnetostatic solutions of the Einstein- Maxwell equations in terms of counterrotating disks models, Universidad Industrial de Santander, Bucaramanga, Colombia, Cleusiane Vieira da Silva, M.S. in Mathematics, Harmonic maps, f-structures, torus and Riemann surfaces in homogeneous manifolds, State University of Campinas, Brazil, GENERAL PROFESSIONAL SERVICES: 1. Co-Chair of AGMUS Workshop on Mathematics 2011: Geometric Combinatorics and Bio- Mathematics, Universidad Metropolitana and Universidad del Turabo. 2. Co-organizer of the AGMUS Research Symposium, 2009 to present. 3. Co-organizer of the AGMUS Precollege Research Symposium, 2009 to present. 4. Evaluator of research projects for CYTED Programa Iberoamericano de Ciencia y Tecnología para el Desarrollo (Iberoamerican Program of Science and Technology for Development), present. 5. Support committee of III Encuentro de Algebra, Teoría de Números, Combinatoria y Aplicaciones, Bucaramanga, Member of the permanent committee of the Seminario Interuniversitario de Investigación en Ciencias Matemáticas SIDIM, Puerto Rico, 2007 present. 7. Scientific Committee of 16 th National Congress of Mathematics, Colombian Mathematical Society, Medellín, Colombia, Organizing committee VII Americas School in Differential Equations and Nonlinear Analysis, Cartagena, Colombia, Support committee of XVII Coloquio Latinoamericano de Algebra, Medellín, Chair of the EMALCA 2006 and First Colombian School of Mathematics, Universidad Industrial de Santander, Socorro, Colombia, Organizing Committee of 16 th National Symposium of Statistics, Universidad Industrial de Santander, Bucaramanga, Colombia, Organizing Committee of 3 rd Statistics Meeting Colombia Venezuela, Universidad Industrial de Santander, Bucaramanga, Colombia, Organizing Committee of the International Conference in Memory of Jose Escobar Chepe, January 30 th to February 3 rd 2006, Universidad del Valle, Cali, Colombia. 14. Chair of the Fifth Northeastern Symposium of Mathematics, December 12 th to 16 th 2005, Universidad Industrial de Santander, Bucaramanga, Colombia. 15. Member of Petroseismic group, Instituto Colombiano del Petróleo and Universidad Industrial de Santander, 2003 present. 16. External evaluator to the Mathematics Program of the Universidad Nacional de Colombia, campus Medellín, 2003.

11 17. Chair of the Fourth Northeastern Symposium of Mathematics, December 15 th to 19 th 2003, Universidad Industrial de Santander, Bucaramanga, Colombia. 18. Founding and Director of the UIS Mathematics Research Group, classified by Colciencias in category A, 2000 to Organizer Committee of Northeastern Colloquium of Mathematics, Universidad Industrial de Santander, Bucaramanga, Colombia, Organizer Committee of the National Journeys of Mathematics, Universidad Industrial de Santander, Bucaramanga, Colombia, Organizer Committee of the 9 th School of Theoretical Physics, Universidad Industrial de Santander, Bucaramanga, Colombia, Evaluator of research projects for Universidad Tecnológica de Pereira, Pereira, Colombia. 23. Evaluator of intellectual production for Universidad Pedagógica y Tecnológica de Colombia, Tunja, Colombia. 24. Evaluator of intellectual production for Universidad Nacional de Colombia, Bogotá, Colombia. 25. Evaluator of research projects and intellectual production for Universidad de Antioquia, Medellín, Colombia. 26. Evaluator of research projects for Universidad Militar Nueva Granada, Bogotá, Colombia. 27. Evaluator of intellectual production for Universidad del Valle, Cali, Colombia. 28. Evaluator of research projects for Universidad del Tolima, Ibagué, Colombia. 29. Evaluator of Research Projects for Administrative Department of Science, Technology and Innovation - Colciencias, Bogotá, Colombia. EDITORIAL ACTIVITIES: Referee for Revista U.D.C.A Actualidad & Divulgación Científica, Colombia, Bogotá, (Indexed Journal in Publindex Colciencias-Colombia) Referee for Publicationes Mathematicae Debrecen, Hungary, (Indexed Journal in Science Citation Index) Referee for Revista Facultad de Ingeniería Universidad de Antioquia, Colombia, Medellín, (Indexed Journal in Science Citation Index) Referee for Ars Combinatoria: A Canadian Journal of Combinatorics, (Indexed Journal in Science Citation Index) Referee for Revista Dyna, Facultad de Minas, Universidad Nacional de Colombia, sede Medellín, (Indexed Journal in Science Citation Index) Reviewer for the Mathematical Reviews, American Mathematical Society, present. Editor of Revista Integración: Temas de Matemáticas, , School of Mathematics, Universidad Industrial de Santander, Bucaramanga, Colombia. (Indexed Journal in Publindex Colciencias- Colombia and Reviewed in MathSciNet) Member of the Editorial Board of Revista Integración: Temas de Matemáticas, 2000 present. (Indexed Journal in Publindex Colciencias-Colombia and Reviewed in MathSciNet) Referee for Revista Colombiana de Matemáticas, (Indexed Journal in Publindex Colciencias-Colombia and Reviewed in MathSciNet) Referee for Revista Matemáticas: Enseñanza Universitaria, (Indexed Journal in Publindex Colciencias-Colombia and Reviewed in MathSciNet) Referee for Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales, (Indexed Journal in Publindex Colciencias-Colombia and Reviewed in MathSciNet) COLLABORATORS AND CO-EDITORS: Dr. Juan Arratia, Executive Director, Student Research Development Center, Ana G. Méndez University System, Puerto Rico. Dr. Angel Rivera, Professor, School of Science and Technology, Universidad del Turabo. Dr. Domingo Rodriguez, Professor, Electrical and Computer Engineering Department, University of Puerto Rico at Mayagüez, Puerto Rico.

12 Dr. Caio Negreiros, Professor, Director of Institute of Mathematics, Statistics and Scientific Computation, State University of Campinas, Brazil. Dra. Sofía Pinzón, Dean of Faculty of Science, Universidad Industrial de Santander, Colombia. Dr. Luiz San Martin, Professor, Department of Mathematics, State University of Campinas, Brazil. Dr. Nir Cohen, Professor, Department Mathematics, Federal University of Rio Grande do Norte, Brazil. Dr. Brendan McKay, Professor Department of Computer Science, The Australian National University, Australia. Dr. Luciano Castillo, Don-Kay-Clay Cash Distinguished Engineering Chair in Wind Energy Executive Director/President of the National Wind Resource Center (NWRC), Department of Mechanical Engineering, Texas Tech University. Dr. Wilson Rivera, Associate Professor, Electrical and Computer Engineering Department, University of Puerto Rico at Mayagüez, Puerto Rico. Dr. Guillermo Gonzalez, Professor, School of Physics, Universidad Industrial de Santander, Colombia. PROFESSIONAL ORGANIZATIONS: American Mathematical Society Society for Industrial Applied Mathematics Colombian Mathematical Society Brazilian Mathematical Society