Visiting Assistant Professor January May 2013, School of Mathematics, Georgia Institute of Technology Atlanta, USA
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1 Renato C. Calleja Tel: School of Mathematics, Georgia Institute of Technology 686 Cherry Street Atlanta, GA Webpage: rcc6/ Languages: English, Spanish (native), French Date of Birth: November 12th, 1978 Education Ph.D. Mathematics University of Texas at Austin August May 2009 Advisor: Rafael de la Llave Thesis: Existence and persistence of invariant objects in dynamical systems and mathematical physics 1 B.S. Applied Mathematics (honors) Instituto Tecnológico Autónomo de México August June 2004 Advisor: Héctor E. Lomelí Thesis: Symplectic dynamics and numerical approximations of separatrices and chaotic transport Employment Visiting Assistant Professor January May 2013, School of Mathematics, Georgia Institute of Technology Atlanta, USA Postdoctoral Fellow September December 2012, Institute for Mathematics and its Applications, University of Minnesota Minneapolis, USA Postdoctoral Fellow August August 2012, McGill University, Concordia University, and Centre de Recherches Mathématiques Supervisors: Eusebius Doedel and Antony R. Humphries Montreal, Canada Visiting Researcher September December 2008, Centre de Recerca Matemàtica Barcelona, Spain 1 Frank Gerth III Dissertation Award
2 Graduate Research Assistant Summer 2006, 2007, & 2008, The Universtiy of Texas at Austin Austin, USA Teacher Assistant August May 2009, The University of Texas at Austin Austin, USA Publications Renato Calleja, Alessandra Celleti, & Rafael de la Llave, Local behavior near quasi periodic solutions of conformally symplectic systems, Accepted for publication in the Journal of Dynamics of Differential Equations Renato Calleja, Alessandra Celleti, & Rafael de la Llave, KAM theory for conformally symplectic systems: Efficient algorithms and their validation, Accepted for publicaiton in the Journal of Differential Equations Renato Calleja, Alessandra Celleti, & Rafael de la Llave, Construction of response functions in forced strongly dissipative systems, DCDS-A (2013), Vol. 33, no. 10 Renato Calleja & Jordi-Lluis Figueras, Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map, Chaos 23, (2012) Renato Calleja, Eusebius Doedel, Antony R. Humphries, Alexandra Lemus-Rodriguez, & Bart Oldeman, Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the restricted three body problem, Celestial Mechanics and Dynamical Astronomy, Volume 114, Issue 1-2,pp Renato Calleja & Rafael de la Llave, Computation of the breakdown of analyticity in statistical mechanics models: numerical results and a renormalization group explanation, Journal of Statistical Physics (2010) 141: Renato Calleja & Rafael de la Llave, A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification, Nonlinearity 23, (2010) Renato Calleja & Alessandra Celletti, Breakdown of invariant attractors for the dissipative standard map, Chaos (2010) Renato Calleja & Yannick Sire, Travelling waves in discrete nonlinear systems with non-nearest neighbor interactions, Nonlinearity 22, (2009) One of the most read papers in Nonlinearity as of 2009
3 Renato Calleja & Rafael de la Llave, Fast numerical computation of quasi-periodic equilibrium states in 1-D statistical mechanics models, including twist maps, Nonlinearity 22, (2009) Héctor E. Lomelí & Renato Calleja, Heteroclinic bifurcations and chaotic transport in the two-harmonic Standard Map, Chaos 16, (2006) Publications in preparation Antony R. Humphries, Daniel A. Bernucci, Renato Calleja, Namdar Homayounfar & Michael Snarski, Periodic Solutions of a Singularly Perturbed Delay Differential Equation With Two State-Dependent Delays, in preparation Renato Calleja, Nikolaos Christodoulou, & Antony. R. Humphries, Hopf Bifurcations under discretization by Runge-Kutta Methods, in preparation Awards and Fellowships Sistema Nacional de Investigadores (Mexico) SNI-Conacyt, Level I January 2013 Postdoctoral Fellowships McGill University, Concordia University, and Centre de Recherches Mathématiques September August 2010 September August 2012 Programme de Bourses d Excellence pour Étudiants Étrangers (PBEEE) Fonds de recherche du Qubec Nature et technologies (FQRNT) Hosted by McGill University September August 2011 Frank Gerth III Dissertation Award Department of Mathematics, University of Texas at Austin May 2009 E.D. Farmer Fellowship The Mexican Center, University of Texas at Austin September May 2008 Burton Fellowship Department of Mathematics, University of Texas at Austin September May One of the most cited papers in Nonlinearity as of 2009
4 Regents Scholarship Department of Mathematics, University of Texas at Austin May 2005 Teaching University of Texas at Austin Teaching Assistant, Department of Mathematics Calculus I, Fall 2004 Real Analysis I, Spring 2005 Advance Calculus for Applications I, Fall 2005 and 2006, Spring 2006 & 2008 Probability I, Spring 2007 Elementary Methods in Statistics, Fall 2007 Introduction to Mathematics, Spring 2009 McGill University Course instructor, Department of Mathematics and Statistics Nonlinear Dynamics and Chaos, Fall 2009 & 2011 Honors Nonlinear Dynamics, Fall 2009 & 2011 Ordinary Differential Equations for Engineers, Fall 2010 Georgia Institute of Technology Course instructor, School of mathematics Differential Equations, Spring 2013 Undergraduate Students Supervised Department of Mathematics and Statistics, McGill University Robert Gibson Numerical Analysis of Wave Maps (co-supervised with Gantumur Tsogtgerel) Summer 2010 Namdar Homayounfar Numerical Analysis of a State-Dependent Delay Equation close to a singular limit. (co-supervised with Antony R. Humphries) Summer & Fall 2011 Nicolas Gonzalez Numerical Analysis of a State-Dependent Delay Equation with two independent state dependent delay. (co-supervised with Antony R. Humphries) Summer 2012
5 Conference organizing Mini-simposium, Oscillatory Dynamics in Delay Differential Equations Conference on the Applications of Dynamical Systems, SIAM Snowbird, USA. May 25th, 2011 Recent Conference and Seminar Talks Conference on Dynamics of Differential Equations, Gerogia Tech,. March 16th, 2013 CDSNS Colloquium, School of Mathematics, Georgia Tech. January 14th, 2013 Postdoc Seminar, IMA, University of Minnesota. October 9th, 2012 Dynamical Systems Seminar, University of Toronto Toronto, Canada. September 28th, 2011 PDE/Analysis Seminar, McMaster University Hamilton, Canada. September 30th, 2011 Conferencia A y F-M, Universidad Autónoma del Estado de Hidalgo Pachuca, Mexico. January 12th, 2011 International Conference of Industrial and Applied Mathematics (ICIAM) Vancouver, Canada. July 20th, 2011 Workshop on KAM Theory and Numerical Integration Banff, Canada. June 10th, 2011 Conference on the Applications of Dynamical Systems, SIAM Snowbird, USA. May 25th, 2011 Mathematics Seminar, Instituto Tecnológico Autónomo de México Mexico City, Mexico. January 14th, 2011 Workshop Bifurcation Analysis and Applications, Concordia University Montreal, Canada. July 7th, 2010 State-Dependent Delay Equations International Workshop, Max-Planck-Institut für Physik komplexer Systeme, Dresden, Germany. October Centre de Recerca Matemàtica. Barcelona, Spain. October AIMS 7th International Conference on Dyn. Systems, Diff. Equations and Applications. Arlington, USA. May AIMS 7th International Conference on Dyn. Systems, Diff. Equations and Applications. Arlington, USA. May
6 IIMAS-UNAM, Nonlinear Waves in Continuous and Descrete Systems. Mexico City, Mexico. January UPC, Dynamical Systems Seminar. Barcelona, Spain. February AIMS 6th International Conference on Dyn. Systems, Diff. Equations and Applications. Poitiers, France. June References Rafael de la Llave Alessandra Celletti School of Mathematics Dipartimento di Matematica Georgia Institute of Technology Università di Roma Tor Vergata 686 Cherry Street Via della Ricerca Scientifica Atlanta, GA , USA 00133, Roma, Italy Antony R. Humphries Eusebius J. Doedel Department of Mathematics and Statistics Computer Science Department McGill University Concordia University 805 Sherbrooke West 1455 boulevard de Maisonneuve O. Montreal, Quebec H3A 2K6, Canada Montreal, Quebec, H3G 1M8, Canada
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