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• UTEP Presidential Honor for securing extra-mural funding. - UTEP (04/06/2017)
• Outstanding Paper Award at the 35th Annual Conference of the North American Fuzzy Information Processing Society NAFIPS’2016 - North American Fuzzy Information Processing SocietyA war (11/02/2016)
• Alumni Award - Computational Science Program (12/01/2015-12/31/2015)
• Outstanding Ph.D. dissertation award - Computational Science Program (05/01/2014-05/31/2014)
• Outstanding Ph.D. Dissertation Award Computational Science Program - UTEP (04/25/2014)
• Academic and research excellence computational science - Computational science program (12/06/2013)
• Best student paper award - NAFIPS international conference (07/16/2013)
• Best Student Interval Paper Award - Institute of Electrical and Electronics Engineers Congress & North American Fuzzy Information Processing Society (06/24/2013)
• - Academic Excellence Graduate Student Award - College of Science (05/01/2013-05/31/2013)
• Academic excellence award college of science - College of Science (05/10/2013)
• Academic Excellence Graduate Student Award - UTEP College of Science (05/10/2013)
• Research excellence award college of science - College of Science (05/10/2013)
• Second Place Best Oral Presentation - UTEP Graduate Research Expo (11/01/2012-11/30/2012)
• Second Place Best Oral Presentation - UTEP Graduate Research Expo. (11/09/2012)
• Second place best oral presentation. UTEP graduate research expo - UTEP graduate school (11/09/2012)
• Principal Investigator U.S Army Research Laboratory - UTEP-Provost (04/01/2012-04/30/2012)
• ORSP Outstanding Performance Award in Securing Extramural Funding - ORSP-UTEP (05/01/2007-05/31/2007)
• Dagua City Honor for His Top Achievements as a Mathematician and Scientist - Dagua City - Colombia (07/01/2005-07/31/2005)
• Honoring Excellence: A Latino/Hispanic Mathematicians Directory - My minority hall of fame (01/01/1997-12/31/1997)

• 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 (in press), 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 (in press), Miguel Argaez, Horacio F. , Osvaldo Mendez, Martine Ceberio.

• Machine Learning & Applications (2019), Volume Houston, TX, 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.

• Model Order reduction for highly nonlinear problems