Institute for Mathematical Models and Simulation

A view of the IMMS building.

The Institute for Mathematical Models and Simulation (Martino: Instituto de Modelos Matemáticos y Simulacíon, IMMS) is a research institute dedicated to the advancement of theoretical mathematics, computational modeling, and simulation sciences. It is located in Cárdenas, the capital of Nouvelle Alexandrie. The IMMS serves as a hub for fundamental mathematical research, providing theoretical frameworks and proofs that support the applied sciences across the park. It employs about 120 people, including 10 postgraduates from the University of Cárdenas, and is the smallest of the institutes on the Máquina Science Park.

History

The Institute for Mathematical Models and Simulation was founded in 1712 AN as part of the consolidation of mathematical research in Cárdenas. The IMMS was created to address the need for a dedicated center of theoretical mathematics and simulation, which were increasingly vital to the nation’s technological and industrial development. Initially housed in a modest facility within the Center for Advanced Physics Research, the institute began with a small team of mathematicians and theorists. Its early work focused on developing mathematical models for fluid dynamics, structural stability, and economic systems, providing essential support to the larger applied institutes in the park.

In 1725 AN, the institute expanded its facilities to include advanced computational labs and simulation suites, allowing for more complex modeling and collaboration with other institutes. While it has not received the same level of funding as some of its counterparts, the IMMS has maintained its reputation as a center of excellence for fundamental science.

Research

The IMMS specializes in theoretical and computational mathematics, with a strong emphasis on modeling and simulation. Its research is organized into several core areas:

• Pure Mathematics
• Numerical Analysis
• Dynamical Systems
• Computational Simulation
• Mathematical Physics

Mayor Projects over the Years

1. Proyecto Conjecturo Tanjero: a landmark proofing result in algebraic topology that resolved a long-standing problem in the classification of high-dimensional manifolds. Completed in 1718 AN.
2. Marco Nacional de Simulación: development of a modular, open-source toolkit for multi-physics simulation, for use in fluid dynamics, materials science, and climate modelling. Completed in 1722 AN.
3. Proyecto Colisión: development of mathematical models for particle collision simulations. Completed in 1734 AN.
4. Proyecto Matemáticas Económicas: development of stochastic models to predict the economic development in relation to national policies and resource management. Completed in 1744 AN.

Layout

The IMMS occupies a compact but modern 2-hectare building with three wings.

1. The Main Building houses the administrative offices, lecture halls, and a specialized mathematics library.
2. The Theoretical Mathematics Wing is an open-plan space for researchers working on abstract mathematics, providing collaborative spaces.
3. The Computational Simulation Wing features high-performance computing clusters and visualisation labs for mathematical modeling and simulations. Includes a dedicated 3D simulation theater.

Organisation

The IMMS is overseen by a Director-General, appointed by the Federal Science & Research Council and the Department of Research and Development. The institute is structured into four research divisions, three service departments, and one executive office:

• Director-General
  • Chief Operating Officer
    • Department of Administration & Finance
    • Department of Facilities
    • Department of Public Relations & Outreach
  • Deputy Director of Research
    • Pure Mathematics Division
    • Numerical Analysis Division
    • Dynamical Systems Division
    • Computational Simulation Division

The institute also maintains two advisory boards:

1. Scientific Advisory Council
2. Industry Collaboration Board

List of (Deputy) Directors

1. Dr. Elias Tanjero (1712-1720)
2. Dr. Gillermo Martinez (1720-1728)
3. Victor Olleros (1728-1739)
4. Dr. Juan Bautista Nucci (1739-1746)
5. Maria Trevisani (1746-Present)

Deputy Directors

1. Enrique Rios (1712-1718)
2. Juan Miranda (1718-1728)
3. Loretta Villalba (1728-1735)
4. Pablo Alonso (1735-1742)
5. Domingo Ávila (1742-Present)