José Ibrahim Villanueva Gutiérrez

Postdoctoral researcher at Heidelberg University  


Mathematisches Institut, Raum 3/410

Im Neuenheimer Feld 205, 69120 Heidelberg


Welcome to my website!

I am currently a Postdoc in mathematics at the Mathematics Institute of Heidelberg University. I belong to the Arithmetic Geometry research group, lead by Prof. Dr. Otmar Venjakob. I obtained my PhD degree at the Mathematics Institute of Bordeaux (Institut de Mathématiques de Bordeaux), funded through a CONACYT grant.

My main research area is Algebraic Number Theory. Nowadays my research varies from applying techniques of Iwasawa Theory to Logarithmic invariants, to the study of connections between non-commutative Iwasawa theory and some arithmetic conjectures.

This website is intended to provide information concerning my research and some of my academic activities, please feel free to contact me.

Last update 12.03.2018








Submitted: On the mu and lambda invariants of the logarithmic class group. (2017)


PhD Thesis: Sur quelques questions en Théorie d'Iwasawa

Master Thesis: Algebraic Values of Transcendental Functions

Bachelor Thesis: Applications of the Arithmetic Theory of Elliptic Curves


Campos Finitos y Teoría de Galois. Notas del curso Campos Finitos y Teoría de Galois en la Universidad de El Salvador Facultad de San Miguel (2017).

Aritmética Algorítmica. Notas del curso Aritmética Algorítmica en la Universidad de El Salvador (2017).

Théorie d'Iwasawa. Notes of the lectures by Jean-François Jaulent given at the University of Bordeaux (2014).

Théorie des Nombres de Base. Notes of the lectures by Jean-François Jaulent given at Mathematics Doctoral School of Bordeaux (91/92, 92/93 & 93/94).


The blog of the course A visual Introduction to Complex Analysis at Nesin Mathematics Village in Sirince, Turkey (July 2015).

The blog of the Science Club Universo Fractal at COZCYT in Zacatecas, Mexico (July 2017).


Popularization of Science and Maths: Numberphile [::] Minute Physics

Mathematics in YouTube: The Royal Institution [::] Centre International de Rencontres Mathématiques [::] CIMAT [::] Institut Henri Poincaré [::] Institut des Hautes Etudes Scientifiques

Mathematics in Mexico: CIMAT (Centre of Mathematical Research) [::] Math. Faculty of the U. of Guanajuato [::] Math. Faculty of the U. of Zacatecas

Websites of some colleagues: Alexey BESHENOV [::] Yuri BILU [::] Carlos CASTANO-BERNARD [::] Michael FUETTERER [::] Jean-François JAULENT [::] Antonio LEI [::] Nicola MAZZARI [::] Otmar VENJAKOB [::]

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