I have the privilege to work inside a terrific group of people: The Barcelona Algebraic Topology Group, which was started in 1976 by my PhD advisor, mentor and friend Manuel Castellet.

My main interests have been cohomology algebras, the Steenrod algebra, groups (Lie, finite, Kac-Moody,...) and their classifying spaces, finite loop spaces, reflection groups and invariant theory, unstable homotopy theory, etc.

I have learned a lot from my PhD students like Carles Broto, Laia Saumell, Marta Santos and Albert Ruiz, as well as from my friends and colleagues from our Friday's Topology Seminar.

Visiting abroad has always been one of my pleasures and a fantastic source of knowledge, not limited to mathematics. I have been a visitor in Zürich, Göttingen, Aberdeen, Lausanne, Beijing, Bonn, Columbus, Madison, Kyoto, Vancouver, Toronto, Tunis and Paris.

I am happy to have participated in the organization of the Barcelona Conference on Algebraic Topology which was, every fourth year during twenty years, an important meeting point for people working in homotopy theory.

My professional web page is here: mat.uab.cat/~aguade.

My personal web page is here: jaumeaguade.cat.

• MTM2010-20692 Análisis local en grupos y espacios topológicos
• 2009SGR-1092 - Grup de Topologia Algebraica de Barcelona
• 2005SGR-00606 - Grup de Topologia Algebraica de Barcelona
• 2000SGR-00132 Grup de Topologia Algebraica de Barcelona
• PB94-0725 Métodos cohomológicos en homotopía inestable
• PB91-0467 Grupos y espacios clasificadores
• MTM2007-61545 - Estructuras multiplicativas en topología y teoría de homotopía

• Propiedades homotópicas de DI(4)
Student: Santos, Marta
• On decomposable free loop spaces and homotopy comutative finite loop spaces
Student: Saumell, Laia
• Linear Characters and spherical fibrations
Student: Broto, Carles
• Aplicacions entre espais classificadors de grups de Kac-Moody de rang 2
Student: Ruiz, Albert