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• Ph D in Computational and Applied Mathematics, Rice University (1997)
• MA in Computational and Applied Mathematics, Rice University (1995)
• MS in Advanced Mathematics, Universidad Nacional (1987)
• BS in Mathematics, Universidad del Valle (1977)

• A Reduced Order Gauss-Newton Method for Nonlinear Problems Based on Compressed Sensing for PDE Applications IntechOpen (2018), Horacio Florez, Miguel Argaez, .
• "Applications and Comparison of Model-Order Reduction Methods based on Wavelets and POD" By: H. Florez and M. Argaez A peer reviewed journal, Advances Fuzzy Sets and Systems, Applied Mathematical Modeling 53 january 2018 (2018), Horacio Florez, Miguel Argaez, .
• A model-order reduction method based on wavelets and POD to solve nonlinear transient and steady-state continuation problems Applied mathematical Modeling 53 (2017), Horacio Florez, Miguel Argaez.
• A model reduction for highly non-linear problems using wavelets and Gauss-Newton method Advances Fuzzy Sets and Systems (2017), Miguel Argaez, Horacio F. , Osvaldo Mendez, Martine Ceberio.
• Square Root of x^2 + const is the Most Computationally Efficient Smooth Approximation to |x|: a Proof Journal of Uncertain Systems 8 (2014), Carlos Ramirez, Reinaldo Sanchez Arias, Vladik Y. Kreinovich, Miguel Argaez.

• Applications and Comparison of Model-Order Reduction Methods based on Wavelets and POD (2016), Volume UTEP, Miguel Argaez, Horacio F. .
• A model reduction for highly non-linear problems using wavelets and the Gauss-Newton method. (2016), Volume The University of Texas at El Paso, Miguel Argaez, Martine C. Ceberio, Florez H. , Osvaldo Mendez.
• Reduced-order Modelling based on wavelets for large-scale problems (2015), Volume University of Texas at El Paso, Miguel Argaez, Martine Ceberio, Osvaldo Mendez.
• Reduced-order Modelling for non-linear problems (2015), Volume Montreal, Miguel Argaez, Martine Ceberio, Osvaldo Mendez.
• Using Wavelet Transformations for Reduced-Order Modeling” (2014), Volume Santa Cruz, California, Miguel Argaez, Martine C. Ceberio, Leobardo Valera, Reinaldo Sanchez Arias.

• Model Order reduction for highly nonlinear problems