Jorge Mario Ramirez. Associate Professor

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1 Jorge Mario Ramirez Associate Professor Escuela de Matemáticas Universidad Nacional de Colombia Sede Medellín Calle 59A No Medellín, Colombia phone: 57 (4) Ext jmramirez(at)unal.edu.co Education Post-Graduate Graduate Richard S. Pierce post-doctoral fellow at The University of Arizona, Department of Mathematics. July August Ph.D. in Mathematics, Oregon Thesis title: Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow. Co-Advisors: Enrique Thomann and Edward Waymire. GPA: 4.0/4.0. July M.Sc in Mathematics, Oregon Master Paper: Monte Carlo simulation of multiplicative cascades (application to two partial differential equations). Co-Advisors: Enrique Thomann and Edward Waymire. GPA: 4.0/ Undergraduate Civil Engineering with emphasis in Water Resources (degree equivalent to M.Sc.), Universidad Nacional de Colombia. Thesis title: Automated extraction of drainage networks from digital elevation models using the D8 model. Advisor: Jaime Velez. GPA: 4.3/ Mathematics. Universidad de Antioquia. Medellin, Colombia. GPA: 4.7/ Short courses, Workshops Summer School in Geophysical Porous Media. Purdue University. West Lafayette, IN. July 17-28, Analytical and Stochastic Fluid Dynamics. Mathematical Sciences Research Institute. Berkeley, CA. October 10-14, IMA PI Summer Program for Graduate Students. Stochastic Partial Differential Equations and Environmental and Geophysical Modeling. University of Wyoming. Laramie, WYO. June 13 - July Mathematical Modeling in Industry IX - A Workshop for Graduate Students. Minnesota Center for Industrial Mathematics School of Mathematics University of Minnesota. Minneapolis, MN. August 1-10, Summer Graduate Program on Analysis of Algorithms. Mathematical Sciences Research Institute. Berkeley, CA. June 1-18,

2 Jorge Ramirez. Curriculum Vitae. 2 Probability and Partial Differential Equations in Modern Applied Mathematics. Institute for Mathematics and its Applications. Minnesota, MN. July 21-August 1, XXIX Workshop in Stochastic Processes and their Applications, VII Brazilian School on Probability. Angra dos Reis, Brazil. July 21 - August 3, Summer Program in Real Analysis. Instituto Nacional de Matematica Pura e Aplicada. Rio de Janeiro, Brazil. January 3 - February 23, Employment Post-doctoral Research Graduate Research Assistantships Collaborative Research: Nonparametric Theory on Manifolds of Shapes and Images, with Applications to Biology, Medical Imaging and Machine Vision. Senior Personnel. NSF Award No. DNS to The University of Arizona and under the direction of Rabindra Bhattacharya - Mathematics, UofA. July present. Collaborative Research (CMG): Mathematical Theory and Modeling of Wave-Current Interactions. Project No. 2090GJC459 sponsored by the University of California and under the direction of Juan Restrepo - Mathematics, UofA. May July Dispersal of Invertebrate Communities in Stream Networks. Constructed and implemented a numerical model to study the effect of advective and diffusive dispersal of invertebrates on the stream network ecology. Results to be presented at the 5th International Conference on Ecological Informatics, Dec 2006, Santa Barbara, CA. Joint work with: J. Jones - Geosciences, S. Moore - Zoology, E. Waymire - Mathematics, OSU. August present. Fire History in Forests and Tree-age Distribution Data. Conceptualized and implemented a stochastic model to estimate forest fire history records from scarce tree-age data. Compiled the results into a course module for a Geosciences IGERT graduate program. Joint work with: J. Jones - Geosciences, F. Swanson - Forestry, E. Thomann, E. Waymire - Mathematics, OSU. May - August Mathematical and Experimental Analysis of Transport Phenomena in Highly Heterogeneous Porous Media. Obtained homogenization results and modeled the random molecular motion for advective-diffusive transport in mediums with sharp heterogeneities. The results were published in SIAM Multiscale Modeling and Simulation Journal, 5(3)(2006). NSF Collaborations in Mathematical Geosciences Award DMS PIs: E. Waymire, E. Thomann - Mathematics, B. Wood - Civil Engineering, R. Haggerty - Geosciences, OSU. September May 2006.

3 Jorge Ramirez. Curriculum Vitae. 3 Undergraduate Research Asssistanships Teaching Stochastic and Multiscale Structure Associated with the Navier Stokes Equations. Developed and implemented numerical schemes to compute solutions to PDEs in Fourier space via random branching processes. The results were published in Journal of Computational Physics, 214 (2006). NSF Focus Research Group awards DMS and DMS PIs: R. Bhattacharya - Mathematics, U of Arizona, R. Guenther, M. Ossiander, E. Thomann and E. Waymire - Mathematics, OSU. May September Exploratory Research of Sediment Transport in La Vieja River Basin. Project contracted by Corporacion Autónoma Regional del Quindio to Posgrado en Aprovechamiento de Recursos Hidráulicos. Medellin, Colombia. December August General Inventory of Water and its Quality for Antioquia, phases I and II. Project contracted by Centro de Ciencia y Tecnología de Antioquia y COLCIENCIAS to Posgrado en Aprovechamiento de Recursos Hidráulicos. Medellin, Colombia. March August Hydrologic Atlas of Colombia. Project contracted by Unidad de Planeación Minero Energética to Posgrado en Aprovechamiento de Recursos Hidráulicos. Medellin, Colombia. March March Graduate Mentor for an Eco-Informatics Summer Institute. Conducted lectures and advised undergraduate and graduate students in mathematics on research projects encompassing various mathematical applications to ecology. H.J. Andrews Experimental Forest, Oregon Blue River, OR. June-August Graduate Teaching Assistant. Conducted recitations and occasional lectures in taught: algebra and trigonometry, vector calculus, probability and linear algebra. Department of Mathematics at Oregon Corvallis, OR. September May 2003 and September May Undergraduate Teaching Assistant. Conducted recitations in ordinary differential equations. Department of Mathematics at Universidad Nacional de Colombia. Medellin, Colombia. January March Academic Awards William F. Burger Graduate Teaching Award. Presented by the Department of Mathematics of Oregon Corvallis, OR Graduate Student Academic Achievement Award for academic excellence in mathematics. Presented by the Department of Mathematics of Oregon Corvallis, OR Oregon Sports Lottery Scholarship for academic merit in graduate studies.

4 Jorge Ramirez. Curriculum Vitae Graduate Student Academic Achievement Award for academic excellence in mathematics. Presented by the Department of Mathematics of Oregon Corvallis, OR. Scholarship and Creative Activity Submitted Multi-skew Brownian motion and diffusion in layered media. J. Ramirez. (2009) Refereed journals A Note on the Theoretical Foundations of Particle Tracking Methods in Heterogeneous Porous Media. J. Ramirez, E. Thomann, E. Waymire, J. Chastanet, B. Wood. Water Resources Research, (2008)44, W01501, A generalized Taylor-Aris formula and skew diffusion. J. Ramirez, E. Thomann, E. Waymire, R. Haggerty, B. Wood. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 5(3)(2006), Multiplicative cascades applied to PDEs (two numerical examples). J. Ramirez. Journal of Computational Physics, 214 (2006) Linking long-term water balances and statistical scaling to estimate river flows along the drainage network of Colombia. G. Poveda, J. Vélez, O. Mesa, A. Cuartas, J. Barco, R. Mantilla, J. Mejía, C. Hoyos, J. Ramirez, L. Ceballos, M. Zuluaga, P. Arias, B. Botero, M. Montoya, J. Giraldo, and D. Quevedo. Journal of Hydrologic Engineering, 12(1)(2007), HidroSIG: an interactive digital atlas of Colombia s hydroclimatology. G. Poveda, O. Mesa, J. Vélez, R. Mantilla, J. Ramirez, O. Henandez, A. Borja, J. Urzola. Journal of Hydroinformatics, 9(2)(2007), HidroSIG Java: a tool for visualization and analysis of hydroclimatological data (Spanish). J. Vélez, O. Mesa, G. Poveda, A. Borja, J. Ramirez, O. Hernandez, J. Urzola, P. Arias. Metereologia Colombiana, 6 (2002) Multiscaling of extreme values, detection of intermittency through wavelets and evidence of deterministic chaos on wind dynamics over central Amazonia (Spanish). G. Poveda, C. Hoyos, J. Mejia, J. Ramirez. Metereologia Colombiana, 6 (2002) Strategies of automated drainage directions extraction from digital elevation models (Spanish). J. Ramirez, J. Vélez. Avances en Recursos Hidraulicos, 9 (2002)

5 Jorge Ramirez. Curriculum Vitae. 5 A stochastic model of soil moisture dynamics under different vegetation covers in the coffee-producing region of Colombia (Spanish). G. Poveda, J. Ramirez., J. Jaramillo. Avances en Recursos Hidraulicos, 9 (2002) Invited talks June 17, Modeling Wave Breaking and Its Dissipative Effects on Planetary-Scale Wave-Current Interactions. SIAM Conference on Mathematical and Computational Issues in the Geosciences. Leipzig, Germany. April 26, Wave/Current Interactions and Wave Breaking. Uncertainty Quantification Workshop. Department of Mathematics, The University of Arizona. February 27, Probabilistic methods for diffusion in layered media. Mathematical Physics Seminar. Department of Mathematics, The University of Arizona. August 11, Probabilistic representations, majorizing kernels and spectral behavior in fluid dynamics: Burgers equation. Applied Analysis Seminar. Department of Mathematics, The University of Arizona. June 8, Skew Brownian motion with multiple interfaces. Special Ph.D. talk at Departmental Colloquium. Department of Mathematics, Oregon May 24, Multiple skew Brownian motion and applications. Probability Seminar, Department of Mathematics, Oregon April 6, Modelling time to extinction of ecological communities in stream networks. Joint with Julia Jones (Geosciences, OSU). Applied Mathematics and Computation Seminar. Department of Mathematics, Oregon May 6, A mathematical model for forest fire history at the stand level. Ecosystem Informatics First Annual Symposium, Oregon State University. February 1, Skew Brownian motion and diffusion: a model for heterogeneity. Probability Seminar, Department of Mathematics, Oregon January 8, Stochastic processes applied to partial differential equations (Spanish). Graduate Seminar, Department of Mathemtics, Universidad Nacional de Colombia sede Medellin. February 11, Skew-diffusion and heterogeneous media I. Applied Mathematics and Computation Seminar. Department of Mathematics, Oregon August 2, Modeling diffusion processes in heterogenous media. Mathematics REU Program. Oregon

6 Jorge Ramirez. Curriculum Vitae. 6 Posters, Contributed talks *speaker/presenter December Markov Processes for Advection-Diffusion Transport in Non-Smooth Media: Multi-Skew Brownian Motion and the Generalized Taylor-Aris Formula. Poster presentation in 2007 American Geophysics Union Annual Meeting. San Francisco, CA. December Ecosystem informatics approaches to modeling physical processes and ecological communities in stream networks. Joint with J. Jones, T. Dietterich, X. Fern, M. Harmon and S. Moore*. 5th International Conference on Ecological Informatics. Santa Barbara, CA. June A generalized Taylor-Aris formula and skew diffusion. J. Ramirez, E. Thomann, E. Waymire*, R. Haggerty, B. Wood. Stochastic Processes in Mathematical Physics. Firenze, Italy. March A generalized Taylor-Aris formula and skew diffusion. J. Ramirez, E. Thomann, E. Waymire*, R. Haggerty, B. Wood. Conference on Stochastics in Science in honor of Ole E. Barndorff-Nielsen. Guanajuato, Mexico. December A Generalized Taylor-Aris Formula and Skew Diffusion. Poster presentation in 2005 American Geophysics Union Annual Meeting. San Francisco, CA. July Monte Carlo modeling of PDEs via multiplicative cascades: two examples. Poster presentation in 2004 annual SIAM meeting. Portland, OR. August, A multiplicative cascade Monte Carlo solution to linear diffusion in Fourier domain. Poster presentation in IMA 2003 Summer Program: probability and partial differential equations in modern applied mathematics. Minneapolis, MN. July Scaling properties of extreme values, intermittence, and Lyapunov exponents of wind and temperature dynamics in the central Amazonia. Joint with G. Poveda, J. Mejia, C. Hoyos. Contributed talk given at the International LBA Scientific Conference. Manuaus, Brazil. July A hydro-climatological digital Atlas for Colombia. Joint with J. Vélez, O. Mesa, G. Poveda, J. Barco, A. Cuartas, R. Mantilla, C. Hoyos, J. Mejía, B. Botero, C. Rios, D. Quevedo, J. Perez, J. Giraldo, L. Salazar, L. Ceballos, M. Zuluaga, P. Correa, and S. Vieira. Contributed talk for International Geographical Union Water study group in water sustainability. Zaragoza, Spain. May A stochastic model of annual and inter-annual variability of soil moisture in Colombia under different vegetation cover. Joint with G. Poveda*, J. Jaramillo. Poster presentation in 9th Latin-American Meteorology Congress. Buenos Aires, Argentina.

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