| Modeling, Analysis, Control and Simulation in Science and Engineering | J. Ildefonso Díaz Díaz, Ángel M. Ramos del Olmo. |
| QPHASE: Classifying quantum phases of nature via PEPS | David Pérez García |
| Sound Technologies for Reliable, Open, New Generation Software | Narciso Martí Oliet. |
| DEC-HUMLOG: Decision Aid Models and Humanitarian Logistics | Begoña Vitoriano Villanueva. |
| Studies of Mars | Luis Vázquez Martíne |
| Non-linear and Geometric Functional Analysis | Jesús Á. Jaramillo Aguado |
| Game Theory and Applications | Juan A. Tejada Cazorla |
| Ionospheric studies | Gracia Rodríguez Caderot, Miguel Herraiz Sarachaga |
| INVEDUMAT: Research in Mathematical Education at University Level | Inés Mª Gómez Chacón. |
| Bayesian methods | Miguel Ángel Gómez Villegas. |
| Non-specific interdisciplinary activities | J. Ildefonso Díaz Díaz. |
IMI is a member of RedIUM, Red de Institutos Universitarios de Matemáticas. See List of members. See official website.