Camilo Sanabria Malagón

Transcription

1 Camilo Sanabria Malagón Place and Date of Birth Contact Information April 28th 1982, Bogotá D.C., Colombia Departamento de Matemáticas Universidad de los Andes Cra. 1 # 18A 12 Of. H210 Bogotá DC Colombia *5206 c.sanabria135@uniandes.edu.co Current Position Research Assistant Professor at Universidad de los Andes (Fall 2013 present) Interests: Solving methods for differential, integral and difference equations, in particular for continuous and discrete dynamical systems. Mathematical modelling and applications of theoretical mathematics in biology. Computational algebra and computational algebraic geometry. Results: Strategies and techniques for finding exact solutions to linear ordinary differential equations. Role of cycles in epidemiological networks. Education Department of Mathematics, CUNY Graduate Center Ph.D. in Mathematics, September 2010 Thesis: Geometrical aspects of linear differential equations over compact Riemann Surfaces (Advisor: Prof. Richard Churchill) Mathematics Institute, Leiden University Institue de Mathématiques et Informatique, University of Bordeaux I M.Sc. in Mathematics, June 2007 Master thesis: Third order linear differential equations over (C(z), d dz ) (Advisor: Prof. Jaap Top, available on Internet: ALGANT (ALgebra, Geometry and Number Theory) is a consortium of universities directing a common Master and Ph.D. Program. The members of the consortium are: Paris Sud University, University of Bordeaux I, Padova University, Milano University, Leiden University, Concordia University, Chennai University and Stellenbosch University. Universidad de los Andes B.A. in Mathematics, April 2005 Capstone paper: Covering theory for graphs of groups Graduation with honors in mathematics Minor in philosophy I completed my capstone paper while an exchange student at the University of Oklahoma. Curriculum Vitae, Camilo Sanabria, 1

2 Papers Environmental Changes Can Produce Shifts in Chagas Disease Infection Risk, Environ. Health Insights, 8, Suppl (2014) (with Juan Manuel Cordovez) On ordinary linear differential equations with reductive Galois group, J. Algebra, 408, (2014) A note on the inverse problem for the lattice points, Topol. Appl., 158, (2011) (with Željka Ljujić) Reversibles of ordinary linear differential equations, J. Algebra, 325, (2011) Other publications Linear ODEs with reductive Galois group, in Oberwolfach Reports, Report No. 57/2010 Differential equations, difference equations and algebraic relations: An extension to a theorem of Compoint, arxiv: (in preparation) Notas para un curso de Álgebra Abstracta, (with Mario Valencia, available on Internet: Awards and Scholarships December 2009 Doctoral Students Research Grants, CUNY Graduate Center August 2009 Research Assistantship (under Prof. Alexey Ovchinnikov, City University of New York, NSF CCF and ) December 2008 Don and Mary Ellen Passantino Award, City University of New York March 2007 Chancellor Fellowship, CUNY Graduate Center April 2005 Graduation with honors from Universidad de los Andes March 2005 ALGANT Scholarship (European Commission Scholarship) Spring & Fall Departmental scholarship, Department of Mathematics, University of Oklahoma Courses taught Universidad de los Andes: Mathematics Seminar, Dynamical Systems, Models in Population and Epidemiology, Integral Calculus, Postgraduate Algebra, Number Theory, Postgraduate Biomedical Engineering qualifying course in Mathematics, Linear Algebra, Complex Variable and Numerical Analysis, Introduction to Calculus. City University of New York: Probability and Statistics, Analytic Geometry & Calculus II, Analytic Geometry & Calculus III, Integral Calculus, Fundamental Concepts and Skills in Arithmetic and Algebra, Basic Concepts of Mathematics I, Basic Concepts of Mathematics II, Mathematical Ideas I. Curriculum Vitae, Camilo Sanabria, 2

3 Past Working Experience Post-doctoral researcher at Universidad de Los Andes Assistant Professor, CUNY Bronx Community College Graduate Research Assistant, CUNY Graduate Center (under Prof. Alexey Ovchinnikov) Adjunct Professor, CUNY Borough of Manhattan Community College Adjunct Professor, CUNY Bronx Community College 2007 Lecturer, Summer School on Differential Galois Theory applied to Dynamical systems, Universidad Sergio Arboleda Student Assistant, University of Oklahoma 2003 Lecturer, Universidad de los Andes 2003 Teaching Assistant, Universidad de los Andes Talks Ciclos en redes epidemiológicas, Coloquio Internacional de Modelos Matemáticos a la Epidemiología, Universidad Sergio Arboleda (September 2nd 2014) Dilution: biodiversity and epidemiology, Icami, San Andrés, Colombia (November 29th 2013) Mini-curso en Modelos de Población y epidemiología, XIX Congreso Colombiano de Matemáticas, Universidad del Norte (July 15th-19th 2013) Linear differential equations and ruled surfaces, CIMPA School Differential Galois Theory and multisummability, Universidad del Norte, Barranquilla, Colombia (January 16th 2013) Differential Equations and ruled surfaces II, Algebra Seminar, Universidad de los Andes (April 16th 2012) Reductive connections and Ruled surfaces, AMS Special Session on Differential Algebraic Geometry and Galois Theory: in memory of Jerald Kovacic (January 5th 2012) Introduction to strongly normal extensions, Mathematics Colloquim, Universidad de los Andes (October 20th 2011) Teoría de Galois de campos con operadores, Seminario de lógica, Universidad Nacional (October 10th 2011) Linear differential equations and ruled surfaces, Algebra Seminar, Universidad de los Andes (October 5th 2011) Tutorial on Differential Galois Theory, Workshop in Model Theory and Algebraic Dynamics, Instituto de Matemáticas y sus Aplicaciones Santa Marta, Colombia (April 11th, 12th, 13th 2011) Curriculum Vitae, Camilo Sanabria, 3

4 Linear ODEs with reductive Galois group, Representation Theory Seminar, CUNY Graduate Center (February 25th 2011) Linear ODEs with reductive Galois group, Algebraic and Analytic Techniques for Polynomial Vector Fields, Mathematisches Forschungsinstitut Oberwolfach, Germany (December 15th 2010) Foliations and Holonomy, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (October 1st, 8th, 15th 2010) Generalizing a Theorem of Klein on second order linear differential equations, CUNY Bronx Community College (September 28th 2010) Reductive groups and ruled surfaces, Differential Algebraic Geometry, CUNY Graduate Center and NYU Courant Institute (April 16th 2010) Jet Bundles and Higher Order Differentials, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (April 9th 2010) Generalizing a Theorem of Klein on second order linear differential equations, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (February 5th 2010) Generalizing a Theorem of Klein on second order linear differential equations, Rutgers University at Newark (January 27th 2010) Symmetries of Standard Equations, AMS Special Session on Differential Galois Theory and Group Representations: A Tribute to Andy Magid (January 15th 2010) Symmetries of meromorphic connections over Riemann Surfaces, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (February 13th and 27th 2009) Entrée to Malgrange ideas: General Involutivity Theorem, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (October 3rd, 10th, 17th and 24th 2008) Hors d oeuvre to Malgrange ideas: Jet Bundles, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (September 5th and 12th 2008) Reversibles of ordinary linear differential equations, The Kolchin Seminar in Differential Algebra, CUNY Graduate Center (March 14th 2008) Ecuaciones diferenciales con grupo de Galois diferencial y grupo de Fano finitos, Jairo Charris Seminar in Algebra and Analysis, Department of Mathematics, Universidad Sergio Arboleda (July 14th 2007) An appetizer to p-adic numbers and Algebraic Geometry, Graduate Student Seminar, Department of Mathematics, University of Oklahoma (May 2nd 2005) Curriculum Vitae, Camilo Sanabria, 4

5 Workshops August 2014 First International and Interdisciplinary Workshop on the Ecology, Evolution and Dynamics of Dengue and other Related Diseases, Arizona State University, Tempe AZ January 2013 CIMPA School Differential Galois Theory and multisummability, Universidad del Norte, Barranquilla, Colombia June 2012 Workshop on Differential Schemes and Differential Cohomology, Banff International Research Station, Alberta, Canada April 2011 Workshop on Model Theory and Algebraic Dynamics, Instituto de Matemáticas y sus Aplicaciones Santa Marta, Colombia December 2010 Algebraic and Analytic Techniques for Polynomial Vector Fields, Mathematisches Forschungsinstitut Oberwolfach, Germany May 2010 Algebraic Methods in Dynamical Systems, The Institute of Mathematics Conference Centre, Bedlewo, Poland April 2010 Differential Algebraic Geometry, CUNY Graduate Center and NYU Courant Institute, New York City, NY March 2010 Théorie de Galois géométrique et différentielle, Centre International de Rencontres Mathématiques, Luminy, France November 2008 Workshop on Differential Algebra and Related Topics (DART III), Rutgers at Newark, Newark, NJ April 2007 Workshop on Differential Algebra and Related Topics (DART II), Rutgers at Newark, Newark, NJ May 2006 Spring School, Abelian Varieties, Utrecth University, Utrecth, The Netherlands Activities 2013 present Member of the organizing committee of the seminar and research group on Computational Biology and Mathematics BIOMAC at Universidad de los Andes. Webpage: Member of the organizing committee of the International Conference in Algebraic Methods in Dynamical Systems AMDS Organizer of Seminario de matemáticas at Universidad de los Andes Member of the organizing committee of the Kolchin Seminar in Differential Algebra, CUNY Graduate Center Languages Spanish (native), English (fluent), French (fluent), Italian (basic) References Prof. Richard Churchill, Mathematics PhD. Program, The CUNY Graduate Center Richard.Churchill@hunter.cuny.edu Curriculum Vitae, Camilo Sanabria, 5

6 Prof. Michael F. Singer, Department of Mathematics, North Carolina State University Prof. Juan José Morales-Ruiz, Escuela Superior de Ingenieros de Caminos, Canales y Puertos, Universidad Politécnica de Madrid juan.morales-ruiz@upm.es Prof. Jacques-Arthur Weil, XLIM, Université de Limoges weil@unilim.fr Prof. José Ricardo Arteaga-Bejarano, Departamento de Matemáticas, Universidad de los Andes jarteaga@uniandes.edu.co Prof. Luis Fernandez, Department of Mathematics and Computer Sciences, CUNY Bronx Community College luis.fernandez01@bcc.cuny.edu Prof. Ivan Petrović, Department of Mathematics and Computer Sciences, CUNY Bronx Community College ivan.petrovic@bcc.cuny.edu Curriculum Vitae, Camilo Sanabria, 6