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1995 – 2000 Bachelor’s degree in Chemical Engineering with emphasis in Biotechnology. National
University, Colombia.
2001 – 2003 Master’s degree in Mathematics. National University, Colombia.
2005 – 2007 Master’s degree in Mathematics. University of Cincinnati.
2005 – 2010 Ph.D. in Mathematics at the University of Cincinnati.
2000 Best Chemical Engineering student. National University, Colombia.
2001 – 2003 National University scholarship for graduate studies. Colombia.
2005 – 2007 UGS and GA, University of Cincinnati.
2005 – 2007 Taft Enhancement Fellowship. University of Cincinnati.
2006 Outstanding First Year Doctoral Student. University of Cincinnati.
2007 – 2010 Research Assistantship. University of Cincinnati.
2008 URC Summer Fellowship. University of Cincinnati.
2008 – 2009 Taft Dissertation Fellowship. University of Cincinnati.
2019 Outstanding Teaching. Universidad Nacional.
1997 – 2000 Teaching Assistant in the Mathematics Department. National University, Colombia.
2005 –2007 Teaching Assistant, University of Cincinnati.
2001 – Present Associate Professor, Mathematics Department, Universidad Nacional de Colombia.
2012 - 2013 Teaching coordinator, School of Mathematics. Universidad Nacional de Colombia.
2013 - 2016 Graduate program director. School of Mathematics, Universidad Nacional de
Colombia.
2016 - 2018 Academic Vice-Dean. Faculty of Sciences. Universidad Nacional de Colombia.
Applied Mathematics
Numerical Analysis
Inverse Problems in Biology and Engineering
Computational Mathematics
Partial Differential Equations
Meshless Methods
Finite Elements
Discontinuous Galerkin Methods
June 2002 Latin-American School of Mathematics. Cartagena – Colombia.
December 2002 University of Chile. Mathematical Modeling. Chile.
July 2007 MBI, Ohio State University. Workshop on Mathematical Physiology.
June 2008 Mathematical Problems in Industry. Rensselaer Polytechnic Institute, New York.
August 2008 IMA Mathematical Modeling in Industry Workshop. University of Minnesota.
August 2009 Inverse Problems. MSRI. University of California at Berkeley.
April 2010 American Mathematical Society, regional meeting. Lexington, Kentucky.
An Introduction to Meshfree Methods. University of Cincinnati, Graduate Students Seminar. April 2010.
Un Nuevo Método sin Mallas con Derivadas Difusas. Coloquio Escuela de Matemáticas. Univesidad Nacional de Colombia. August 2010.
Error Analysis of a Modified Discontinuous Galerkin Scheme with Recovery. International Conference of Applied Mathematics and Informatics (ICAMI 2010). San Andrés Island (Colombia). November-December 2010.
Error Analysis of A Meshfree Method with Diffuse Derivatives. III Congreso de Matemática Aplicada Computacional e Industrial (MACI 2011). Bahía Blanca (Argentina). May 2011.
A Meshfree Method with Diffuse Derivatives and Penalty Stabilization. VIII Congreso Colombiano de Métodos Numéricos. Medellín (Colombia). August 2011.
A Modified Discontinuous Galerkin Scheme with Recovery, La Serena Numérica I. La Serena (Chile). December 2011.
A New Discontinuous Galerkin Recovery Scheme. VII ITLA (Italo-Latinamerican Conferene). Rosario (Argentina) 2012.
A Multidimensional Discontinuous Galerkin Recovery Scheme for Diffusion. IX Congreso Colombiano de Matemáticas. Barranquilla, 2013
Hybridizable discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. International Conference of Applied Mathematics and Informatics (ICAMI 2013). San Andrés Island (Colombia). November 2013.
Hybridizable discontinuous Galerkin method for the transient eddy current problem. MACI 2017. Comodoro Rivadavia – Argentina. May 02–05, 2017.
A hybridizable discontinuous Galerkin method for a transient electromagnetic problem. International Conference of Applied Mathematics and Informatics (ICAMI 2017). San Andrés Island (Colombia). November 2017.
An HDG method for a quasi periodic Maxwell equation. Congreso Internacional de Matemática Aplicada y Computacional. Lima (Perú). 2019.
C. E. Mejia, M. Osorio, Noisy Data Smoothing by the Mollification Method. 13th Inverse Problems in Engineering. Edited by the University of Cincinnati, 2004. pp. 127 – 134.
D. French, M. Osorio, M. Galbraith. Error Analysis of a Modified Discontinuous Galerkin Scheme with Recovery for Diffusion Problems. AIAA paper 2010-1071.
D. French, M. Osorio. A Galerkin Meshfree Method with Diffuse Derivatives and Stabilization. Computational Mechanics., Vol. 50, Issue 5., november 2012. pp. 657-664
D. French, M. Osorio, M. Galbraith. Error Analysis of a Modified Discontinuous Galerkin Scheme with Recovery for Diffusion Problems. Applied Mathematics and Computation. 218, 2012, pp. 7144-7154.
M. Osorio, D. French. Error Estimates for a Multidimensional Meshfree Galerkin Method with Diffuse Derivatives and Stabilization. Revista Ingenieria y Ciencia. Vol. 9, No. 17. 2013. pp. 53-76
Morales, Fernando A.; Osorio, Mauricio A. On the generation of bipartite grids on 2 and 3 dimensional regions, Applicable Analysis and Discrete Mathematics Vol 8 (2014)
D. French, J. Clack, M. Osorio. Error Analysis of a Least Squares Pseudo-Derivative Moving Least Squares Method. Projections-Journal of Mathematics. Vol. 36, No. 3. 2017. pp. 435-448.
R. Bustinza, B. López-Rodríguez, M. Osorio. An a priori error analysis of an HDG method for an eddy current problem. Mathematical Methods in the Applied Sciences. 2018. DOI: 10.1002/mma.4780
B. López-Rodríguez, M. Osorio. Hybridizable discontinuous Galerkin method for the transient eddy current problem. Opuscula Mathematica. 2019. To appear.
H. Tabares, M. Osorio. Methodology for the characterization of the electrical power demand curve, by means of fractal orbit diagrams on the complex plane of Mandelbrot set. Discrete and Continuous Dynamical Systems Series B. Vol. 25, Number 5, 2020. Pages 1895-2005.
H. Tabares, F. Angulo, M. Osorio. A new methodology to analyze the Dynamic of daily power demand with attractors into the Mandelbrot set. Fractals. Vol. 28, Number 1, 2020. Pages 1-9.
M. Solano, M. Osorio, B. López-Rodríguez, Liliana Camargo. An HDG method for the Maxwell’s equations in heterogeneous media. Computational Methods on Applied Mathematics and Engineering. Vol. 368. 2020.
H. Tabares. F. Angulo, M. Osorio. Method to calculate the degree of fluctuation and the energy of the daily electrical load-curve using the fractal dimension and trapezoid rule by splitting it with fractal segments. Fractals. Accepted. 2020
M. Osorio, W. Imbachí. A discontinuous Galerkin recovery scheme with stabilization for diffusion problems. Calcolo. 2020 (under review)
M. Osorio, B. López-Rodríguez, M. Bastidas. A high-order hybridizable discontinuos Galerking method for the Darcy equation. Revista Ingeniería y Ciencia. Submmited