| Nonlinear PDEs and applications | J. Ildefonso Díaz Díaz |
| Research in mathematical education at university level | Inés Mª Gómez Chacón |
| Spatial heterogeneities in nonlinear parabolic problems | Juián López Gómez |
| Cognitive systems and neurorobotics | Valery Makarov Slizneva |
| Mathematical models in science and technology with an interdisciplinary approach | Ángel Manuel Ramos del Olmo and José María Rey Cabezas |
| Interactions of functional analysis with algebra, geometry and topology | Juan Benigno Seoane Sepúlveda |
| Mars exploration science (MES): Analysis, modelling and exploitation of data | Luis Vázquez Martínez |
| Mathematics in quantum information | Ignacio Villanueva Díez |
| DEC-HUMLOG: Decision aid models for humanitarian logistics and development | Begoña Vitoriano Villanueva |
| Development and implementation of Bayesian methods and design of a user interface for the analysis of contingency tables and expression data | Miguel Ángel Gómez Villegas |
IMI is a member of RedIUM, Red de Institutos Universitarios de Matemáticas. See List of members. See official website.