At the University of Paris in July 1985 his thesis entitled: ' ' Homogenization of the Equations of the Mechanics of Fluids, granted him the degree of ' ' Docteur d'Etat is Sciences Mathématiques.
This work was published in the' ' Journal de Mathématiques Pures et the Appliqueés' ' (Gauthier-Villars/Elsevier), oldest of the specialized magazines in France, founded in 1836 by Joseph Liouville.
Between the period 1997-2002 Conca was a Titular Member of the Commission of Academic Evaluation of the Faculty of Physical and Mathematical Sciences of the University of Chile; and was president from 2001 to 2003.
Conca has been invited to give classes and lectures at many prestigious schools internationally including Spain, Ecuador, France, Brazil and in other cities throughout his native Chile.
He has also lectures in many universities, institutes and research centers in countries as wide ranging as Chile, Argentina, France, Spain, Russia, India, Romania, United States, Portugal, Italy, Belgium.
As a result, Carlos Concabecame the first Chilean scientist in being recognized by the French Government with a distinction of this type in the area of Exact and Natural Sciences.