My wife
Currently I am Associate Professor at the Department of Mathematics of the Universidad Nacional de Colombia-Manizales. I find the natural sciences very interesting, but since the years of college I have been focused on mathematics. Moreover, during my Ph.D. I turned my attention to the study of nonlinear analysis and differential equations.
I received all my degrees in mathematics from the Universidad Nacional de Colombia-Medellín (Bachelor, Master and Doctoral). I distribute my work time between teaching and research. Concerning teaching, in recent years I have taught Number Systems, Introduction to Real Analysis, Integration and Series, Vector Analysis, Measurement Theory, Functional Analysis, Variational Methods, Calculus, Linear Algebra and Differential Equations. Concerning research, in the last few years I have been interested in problems that involve quasi-linear differential equations. Most of these arise from a mathematical approach to physical phenomena. Nonetheless, I am rather interested in the theoretical aspects of those problems such as the existence, qualitative behavior and a priori estimates of the solutions. On this site you will find links that take you to my published articles.
My native language is Spanish. My English level is intermediate.
Upcoming and ongoing Interesting math conferences
See you in the VII international workshop on nonlinear analysis and PDE, May 2025:
https://david278705.github.io/sexto-taller-analisis-nolineal/#