Uncharted waters

Mathematics is a very lively science, and the blood that animates it are the problems whose solution we still do not know. This uncharted waters have a very diverse geography: some regions are located very deep inside mathematics themselves, in their purest territories, but they also border on other sciences, or on technology – the Internet, for instance, is today an important source of problems for the world of mathematics. We will dedicate this section to recent mathematical discoveries, and also to exploring the uncharted waters of the problems that are still to be solved.

33: The “jota” of Ollauri

26 March, 2019 Juan Luis Varona0

When I come across the number 33 I remember my grandmother Rosario who, every time she heard that number, associated it with “la jota de Ollauri”. Apparently, there was a time when some people from […]

Euler Product and Zeros

23 November, 2018 Juan Arias de Reyna4

Zeta function and its properties This month we are talking about the Riemann Hypothesis. The story we will tell has two fundamental ideas and both have their origin in Euler. They can be found in […]

Squares and factoring

26 October, 2018 Juan Arias de Reyna0

Cryptography can be very useful, but our goal as mathematicians is to solve problems. So it is to find ways to break codes, not to provide them. For example, one big goal is to find […]

Javier Cilleruelo’s goal

28 September, 2018 Juan Arias de Reyna2

At the beginning of last July, “El Confidencial” reported that this year the Spanish government forced its team to pay out of pocket for the trip to the Mathematical Olympics. These Olympics are an international […]

Dürer’s problem

8 June, 2018 Juan Arias de Reyna1

Dürer is known as a painter, but there is no doubt that in a certain sense he was a mathematician (see the post Pacioli, Dürerand the higly secret science of the human body). Indeed, it […]