![[Photograph]](jvarona-2019-Ebro.jpg) |
Welcome to the Juan L. Varona WWW page. It provides information about me, as well as aspects related to my work as a mathematician, my research, and topics of interest. On this page, you can find many of my research articles and other publications. If, on the other hand, you are interested in my university teaching, click here. And here you have my complete address. |
I was born in Tudela (Navarra) in 1962, although by chance; it can be said that I am from Alfaro (La Rioja, Spain), where I lived when I was a child. I graduated in Mathematics from the University of Zaragoza in 1985, and I defended my doctoral thesis (tex, pdf) at the University of Cantabria in 1988, under the supervision of Professor José J. Guadalupe (Chicho). I am a Full Professor at the University of La Rioja.
In the Degree of Mathematics at the University of La Rioja, I have taught classes in Mathematical Analysis, Numerical Analysis, Differential Equations, Discrete Mathematics, and Number Theory. I have also been a professor of various subjects with mathematical content in chemistry, oenology, and business degrees, as well as in computer, agricultural, and industrial engineering. I have also taught numerous courses on TeX/LaTeX.
I am a member of the Real Sociedad Matemática Española (RSME), the Sociedad Española de Matemática Aplicada (SEMA), the Grupo de Usuarios de TeX Hispanohablantes (CervanTeX), the TeX Users Group (TUG), and the Agrupación Astronómica de La Rioja (AstroRioja).
I have been Editor-in-Chief of La Gaceta de la Real Sociedad Matemática Española from January 2007 to March 2024, and between May 2005 and February 2016, I was the President of CervanTeX.
Encouraged by years of experience teaching number theory courses, I have written a book on the subject. It is titled Recorridos por la Teoría de Números, has over 700 pages, and has been co-published by Electolibris and the Real Sociedad Matemática Española in their Textos Universitarios series (second edition published in 2019).
You can find more information, and download the book, on this page.
I have written a book on differential equations titled Métodos clásicos de resolución de ecuaciones diferenciales ordinarias, which was published by the Servicio de Publicaciones de la Universidad de La Rioja in 1996 (ISBN: 84-88713-32-0). You can get it here (or from Dialnet).
The book studies, both theoretically and with illustrative examples, the different methods of solving ordinary differential equations. It allows one to easily identify the type of equation based on its appearance in order to find its solutions. In separate files, I have also provided what I call recipes, which is a summary of the methods covered in the book.
Unexpectedly, on April 1, 2000, our colleague José Javier Guadalupe Hernández, commonly known as Chicho, passed away (in a traffic accident). The unfortunate loss of Chicho Guadalupe prevented us from continuing our scientific collaboration in all the topics he introduced us to. But, if anything, we miss his friendship and personal affection even more.
The Departmento de Matemáticas y Computación of the University of La Rioja published a book in his honor (for historical interest, this is the page with the call). The editors of the book were Luis Español and myself. The complete text of the book can be downloaded from Dialnet.
I collaborated in the organization of the International Congress of Mathematicians ICM2006 (held in Madrid from August 22 to 30, 2006) as a member of the Publications Committee.
Together with M. Sanz-Solé, J. Soria, and J. Verdera, I was the editor of the Proceedings of the International Congress of Mathematicians, published by the European Mathematical Society Publishing House in 2006 (Vol. II and III) and 2007 (Vol. I). They can be downloaded from the pages of EMS Press or from the International Mathematical Union.
In all the fields I mention below, my research work is reflected in articles that can be downloaded here.
At the beginning of my research career, I focused exclusively on this field. In particular, on the convergence of Fourier series in Lp spaces with weights, a topic on which I wrote my doctoral thesis in 1988 (if you are interested, you can download it in tex or pdf).
Several of the articles I have published are related to orthogonal polynomials or special functions (in particular, Bessel functions).
I have written a few articles on numerical analysis, analyzing the convergence of iterative methods.
Also, several articles on fractals related to iterative methods. Some of them are informative and contain the necessary code (in Mathematica) to reproduce the graphics that appear.
I have worked on various topics related to number theory: elementary, computational, and analytical.
For many years, most of my research in number theory focused on aliquot sequences and the Catalan-Dickson conjecture. If you are interested, click here for more information about our work. In Spanish, you can read this article, which is an expansion of what was published in La Gaceta de la RSME in 1999.
Together with some colleagues, I have coordinated the seminar of my department for many years. It offers conferences on mathematics with diverse themes and a popular science character. Currently, the seminar is run by Judit Mínguez Ceniceros.
For more information, and to see the complete list of conferences held since it began in 1978, click here.
The digital magazine Matematicalia has published an article about our Seminario Permanente de Actualizaci´n en Matemáticas, the oldest popular mathematics seminar held in Spain. You can also download the article in pdf, tex, or self-contained web page.
TeX is a blend of word processor and programming language used primarily for writing high-quality scientific documents. It was developed by Donald E. Knuth.
LaTeX is an even more powerful and user-friendly language; it is based on TeX. In addition, there is an extension of TeX that incorporates the Lua programming language: it is called LuaTeX (and LuaLaTeX for its corresponding version for LaTeX).
There are free implementations for all kinds of computers. You can download them from the software section of the TeX Users Group (TUG) pages.
I have collaborated extensively in the activities of the Spanishspeaking TeX User Group, a.k.a. CervanTeX, of which I am a member. At the time, I was actively involved in drafting its statutes.
I have always been interested in TeX developments for writing in Spanish. I have collaborated in creating dictionaries, keyboards, packages, collecting utilities and information, and more. For more information, click here (some of that information may be outdated by now).
In my case, I use TeX/LaTeX on Mac computers, with TeXShop (by Richard Koch, with the help of many contributors) as the editor. In particular, I have translated (localized) TeXShop into Spanish. Important: keep in mind that TeXShop is of no use without installing a TeX distribution. On a Mac, the most convenient option is to install MacTeX (which is essentially the official TeX Live distribution with a Mac installer and also includes TeXShop).
If you use TeX on a Mac, you will likely find very useful a keyboard layout that I have developed myself, which is particularly well-suited for writing TeX/LaTeX on a Mac with a Spanish keyboard. Click here to read more information; or download it directly; it includes a "Readme" file with instructions on how to use it and how to install it. Try it: Don't go without it!
I have written a Short Guide to Writing a Bachelor's Thesis with Mathematical Content Using LaTeX (in Spanish), as well as a template that may be useful. You can download it (along with the LaTeX code for how everything is done) here.
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As I mentioned before, I am from Alfaro, a town in La Rioja (Spain). Two recognized Alfaro natives are in my family: my mother, the composer María Dolores Malumbres (see also Wikipedia), and my cousin, cancer researcher Marcos Malumbres (see also MalumbresLab). The demonym for Alfaro is "alfareño"; however, in the 21st edition (year 1992) and earlier editions of the Diccionario de la Real Academia Española (RAE), such word did not appear. Instead, it said "alfarense", a word that has never been used (at least with such meaning). When I noticed this error, I took the initiative to achieve the replacement of "alfarense" with "alfareño". After contacting the RAE (specifically, its Lexicography Institute), and carrying out numerous efforts, some of them with the collaboration of the Alfaro City Council, I succeeded. In the 22nd edition (year 2001) of the RAE Dictionary, it now says "alfareño" (and "alfarense" has been removed). I cannot finish without advising you to visit Alfaro. It is a predominantly agricultural city with just under 10 thousand people. But what it is internationally known for is having the largest urban colony of storks in the world, most of which reside on the roofs of the Colegiata de San Miguel. It is really worth observing them from the viewpoint. |
![[Storks]](ciguenas.jpg) |
Juan L. Varona
Departamento de Matemáticas y Computación
University of La Rioja
Complejo Científico-Tecnológico
(the building marked as "9" in
this map)
Calle Madre de Dios 53
26006 Logroño
Phone: 34 - 941 299 451
Last modification date of this page: April 22, 2024