Camilo Sanabria Malag´
on
Place and Date of Birth
April 28th 1982, Bogot´a D.C., Colombia
Contact Information
Departamento de Matem´aticas Universidad de los Andes Cra. 1 # 18A–12 Of. H210 Bogot´a DC 111711 Colombia +571 339-4949 *5206 [email protected] http://matematicas.uniandes.edu.co/~csanabria Current Position
Assistant Professor at Universidad de los Andes (Fall 2013 – present)
Research Interests: Solving methods for differential, integral and difference equations, in par-ticular for continuous and discrete dynamical systems. Mathematical modelling and applications of theoretical mathematics in biology. Computational algebra and com-putational algebraic geometry.
Results: Strategies and techniques for finding exact solutions to linear ordinary differ-ential 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 Math´ematiques 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:
http://www.math.leidenuniv.nl/scripties/Sanabria.pdf)
• ALGANT (ALgebra, Geometry and Number Theory) is a consortium of univer-sities directing a common Master and Ph.D. Program. The members of the con-sortium are: Paris Sud University, University of Bordeaux I, Padova University, Milano University, Leiden University, Concordia University, Chennai University and Stellenbosch University.
Papers Environmental Changes Can Produce Shifts in Chagas Disease Infection Risk, Environ. Health Insights, 8, Suppl. 2 43-48 (2014) (with Juan Manuel Cordovez)
On ordinary linear differential equations with reductive Galois group, J. Algebra, 408, 63-101 (2014)
A note on the inverse problem for the lattice points, Topol. Appl., 158, 1012-1018 (2011) (with ˇZeljka Ljuji´c)
Reversibles of ordinary linear differential equations, J. Algebra, 325, 248-268 (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:1009.2538 (in preparation)
Notas para un curso de ´Algebra Abstracta, (with Mario Valencia, available on Internet:
http://temasmatematicos.uniandes.edu.co/Algebra_abstracta/abstracta.pdf)
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 0901175 and 0952591)
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
2005 2004
Departmental scholarship, Department of Mathematics, University of Oklahoma
Courses taught
Universidad de los Andes: Mathematics Seminar, Dynamical Systems, Models in Pop-ulation and Epidemiology, Integral Calculus, Postgraduate Algebra, Number Theory, Postgraduate Biomedical Engineering qualifying course in Mathematics, Linear Alge-bra, Complex Variable and Numerical Analysis, Introduction to Calculus.
City University of New York: Probability and Statistics, Analytic Geometry & Cal-culus II, Analytic Geometry & CalCal-culus III, Integral CalCal-culus, Fundamental Concepts and Skills in Arithmetic and Algebra, Basic Concepts of Mathematics I, Basic Concepts of Mathematics II, Mathematical Ideas I.
Past Working Experience
2011-2013 Post-doctoral researcher at Universidad de Los Andes 2010–2012 Assistant Professor, CUNY Bronx Community College
2009–2010 Graduate Research Assistant, CUNY Graduate Center (under Prof. Alexey Ovchinnikov)
2008–2010 Adjunct Professor, CUNY Borough of Manhattan Community Col-lege
2008–2009 Adjunct Professor, CUNY Bronx Community College
2007 Lecturer, Summer School on Differential Galois Theory applied to Dynamical systems, Universidad Sergio Arboleda
2004–2005 Student Assistant, University of Oklahoma 2003 Lecturer, Universidad de los Andes
2003 Teaching Assistant, Universidad de los Andes
Talks Ciclos en redes epidemiol´ogicas, Coloquio Internacional de Modelos Matem´aticos a la Epidemiolog´ıa, Universidad Sergio Arboleda (September 2nd 2014)
Dilution: biodiversity and epidemiology, Icami, San Andr´es, Colombia (November 29th 2013)
Mini-curso en Modelos de Poblaci´on y epidemiolog´ıa, XIX Congreso Colombiano de Matem´aticas, Universidad del Norte (July 15th-19th 2013)
Linear differential equations and ruled surfaces, CIMPA School Differential Galois The-ory 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 Alge-braic 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)
Teor´ıa de Galois de campos con operadores, Seminario de l´ogica, Universidad Nacional (October 10th 2011)
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 Poly-nomial Vector Fields, Mathematisches Forschungsinstitut Oberwolfach, Germany (De-cember 15th 2010)
Foliations and Holonomy, The Kolchin Seminar in Differential Algebra, CUNY Grad-uate 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 Alge-bra, 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) Entr´ee 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)
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 onModel Theory and Algebraic Dynamics, Instituto de Matem´aticas 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
Mathe-matics Conference Centre, Bedlewo, Poland
April 2010 Differential Algebraic Geometry, CUNY Graduate Center and NYU Courant Institute, New York City, NY
March 2010 Th´eorie de Galois g´eom´etrique et diff´erentielle, Centre Interna-tional de Rencontres Math´ematiques, Luminy, France
November 2008 Workshop onDifferential 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:
http://biomac.uniandes.edu.co
2014 Member of the organizing committee of the International Confer-ence in Algebraic Methods in Dynamical Systems AMDS2014 2014 Organizer ofSeminario de matem´aticas at Universidad de los
An-des
2010–2011 Member of the organizing committee of the Kolchin Seminar in Differential Algebra, CUNY Graduate Center
q Prof. Michael F. Singer, Department of Mathematics, North Carolina State Univer-sity
q Prof. Juan Jos´e Morales-Ruiz, Escuela Superior de Ingenieros de Caminos, Canales y Puertos, Universidad Polit´ecnica de Madrid
q Prof. Jacques-Arthur Weil, XLIM, Universit´e de Limoges
q Prof. Jos´e Ricardo Arteaga-Bejarano, Departamento de Matem´aticas, Universidad de los Andes
q Prof. Luis Fernandez, Department of Mathematics and Computer Sciences, CUNY Bronx Community College
q Prof. Ivan Petrovi´c, Department of Mathematics and Computer Sciences, CUNY Bronx Community College
