I was born in the very noble, old and loyal Villa of Valencia de Alcántara, in the province of Cáceres (Spain) , bordering Portugal. It was so long ago I cannot remember. From the age of seven and up until the age I am in Madrid (some say you are from where you study your Bachelors’ degree). I got my vocation for Mathematics relatively late, since I didn’t start studying them seriously until the year before I entered University, which is a disadvantage with respect to Gauss. However I fear it is not the only one.
I studied my career in Mathematics in UCM (Universidad Complutense de Madrid) and from my 5th year I started giving lessons in an university teachings academy preparing Linear Algebra for Industrial Engineering students. The following year I passed my public exams for aggregate institute professors whilst I continued to teach university and high school students.
For thirty years I have taught an unending series of lessons in Linear Algebra, Infinitesimal Calculus, Differential Equations, Complex Variable, Topology and Differential Geometry to around four thousand students in several faculties and engineering degrees.
In one on June 2007, invited by an Investigation Group from the UPM in Madrid, I presented in the Escuela de Caminos (Civil Engineering Technical College) a paper on the Goldbach Conjecture and Peano Arithmetic (ref. 702) at the First International Congress of Mathematics in Civil Engineering and Architecture (section in theoretical developments of applied mathematics).
The first term of the 2008/2009 course I was contracted by UAX (Universidad Alfonso X el Sabio de Madrid) to give a course on Mathematical Methods for students of the fourth year of Industrial Engineering.
Aside from the lessons, I have been interested in the study of the various branches of Mathematics. In 2001, whilst studying a book by Devanney, Chaotic Dynamical Systems, I thought of trying to relate the shift operator with the Goldbach Conjecture by bijection of the non negative real numbers with semi-open interval [0,1).
Failing to obtain good results, the idea evolved towards the identification of positive real numbers with deformed hyperbolas. The natural numbers are characterized by means of the existence of at least one vortex point in the corresponding deformed hyperbola, the primes by the unicity of this point.
With the construction of an adequate area function with continuous second derivative, I accomplished constructing dynamic processes that characterize the aforementioned Conjecture.