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| Center for Mathematical Modelling | |
|---|---|
| Name | Center for Mathematical Modelling |
| Established | 1990s |
| Type | Research institute |
| City | Santiago |
| Country | Chile |
| Affiliations | University of Chile |
Center for Mathematical Modelling is an interdisciplinary research institute focused on applied mathematics, computational science, and mathematical modelling. It serves as a hub for collaborations among researchers, postdoctoral fellows, and graduate students from institutions across Latin America and internationally, fostering projects that connect theoretical methods with applications in physics, biology, engineering, and social sciences. The center has produced influential work in partial differential equations, numerical analysis, optimization, stochastic processes, and data-driven modelling, building ties with universities, national laboratories, and industry partners.
The institutional origins trace to initiatives in the 1990s linking University of Chile departments with researchers from Pontifical Catholic University of Chile, aiming to consolidate groups working on applied mathematics, numerical methods, and scientific computing. Early collaborators included scholars who had trained at Courant Institute of Mathematical Sciences, Massachusetts Institute of Technology, and Université Paris-Sud, bringing influences from traditions associated with Johns Hopkins University, Imperial College London, and École Normale Supérieure. The center expanded through ties to national research programs such as those funded by the Comisión Nacional de Investigación Científica y Tecnológica and engaged with regional initiatives like the Inter-American Development Bank-supported science networks. Over two decades it absorbed visiting researchers from Max Planck Society, CNRS, and Los Alamos National Laboratory, and forged exchange links with Brown University, University of Oxford, and ETH Zurich.
Research spans core domains including nonlinear partial differential equations with applications to Navier–Stokes equations, pattern formation, and reaction–diffusion systems studied in contexts similar to work at Princeton University, Stanford University, and University of Cambridge. Numerical analysis efforts address finite element and spectral methods influenced by lines from California Institute of Technology and University of Bonn, while optimization and control research connects to themes explored at INRIA, University of California, Berkeley, and Imperial College London. Stochastic modelling and uncertainty quantification interface with ideas from Columbia University, University of Michigan, and New York University, and data-driven modelling draws on techniques developed at Massachusetts General Hospital, Google Research, and Microsoft Research. Interdisciplinary projects link to applications in climate science with researchers from National Center for Atmospheric Research, epidemiology with collaborators at London School of Hygiene & Tropical Medicine, and systems biology with groups at European Molecular Biology Laboratory.
The center hosts graduate courses and supervises doctoral theses affiliated with University of Chile doctoral programs, offering seminars modeled after those at Princeton University and lecture series reminiscent of Courant Institute of Mathematical Sciences. Training initiatives include summer schools patterned on Mathematical Sciences Research Institute programs and workshops similar to those run by Society for Industrial and Applied Mathematics and European Mathematical Society. Visiting scholar programs attract postdoctoral fellows previously associated with Flatiron Institute, Kavli Institute for Theoretical Physics, and Perimeter Institute for Theoretical Physics, while outreach courses engage with undergraduate cohorts from Pontifical Catholic University of Chile, Universidad de Santiago de Chile, and regional universities aligned with Latin American Centre for Physics efforts.
Formal partnerships link the center with national agencies such as Comisión Nacional de Investigación Científica y Tecnológica and international organizations like World Bank technical programs and Inter-American Development Bank research grants. Academic collaborations include bilateral projects with University of Cambridge, ETH Zurich, Massachusetts Institute of Technology, and University of California, Los Angeles, and consortium participation with institutes such as INRIA, Max Planck Institute for Mathematics in the Sciences, and Centre National de la Recherche Scientifique. Industry partnerships involve cooperative research with companies influenced by Siemens, IBM Research, Shell, and startups emerging from technology hubs linked to Startup Chile. Collaborative networks extend to clinical and environmental partners like World Health Organization initiatives and projects with United Nations Environment Programme.
The center maintains computing clusters and high-performance computing resources comparable to setups at CERN-collaborating institutions, with access to national supercomputing centers akin to MareNostrum and regional facilities patterned after Latin American Supercomputing Center. Its laboratory infrastructure supports numerical experiments, data assimilation platforms, and visualization suites inspired by facilities at National Center for Atmospheric Research and Los Alamos National Laboratory. Library and archival resources include journal subscriptions and digital access consistent with holdings at IEEE, Springer Nature, Elsevier, and links to preprint networks such as arXiv. Meeting spaces host conferences modeled on those organized by Society for Industrial and Applied Mathematics and the American Mathematical Society.
The center contributed to large-scale climate modelling efforts in collaboration with groups at National Center for Atmospheric Research and European Centre for Medium-Range Weather Forecasts, and developed numerical solvers used in combustion and fluid dynamics studies paralleling work at Lawrence Livermore National Laboratory and Sandia National Laboratories. Epidemiological modelling efforts connected to methods used by Centers for Disease Control and Prevention and London School of Hygiene & Tropical Medicine, while signal processing and inverse problems research influenced seismic imaging collaborations with teams from Geological Survey of Chile and US Geological Survey. Contributions to optimization and machine learning intersected with algorithms originating at Google Research, DeepMind, and Facebook AI Research, and theoretical advances in dynamical systems engaged scholars associated with Institute for Advanced Study and IHES.
Researchers affiliated with the center have received national science awards such as distinctions from Comisión Nacional de Investigación Científica y Tecnológica and prizes comparable to regional recognitions from Academia Chilena de Ciencias, as well as international fellowships and honors including fellowships from Alexander von Humboldt Foundation, grants from European Research Council, and visiting appointments at Institute for Advanced Study and Mathematical Sciences Research Institute. Collaborative projects earned competitive funding from agencies like National Science Foundation and Horizon Europe programs, and alumni have secured positions at institutions including Massachusetts Institute of Technology, University of Cambridge, and ETH Zurich.
Category:Research institutes in Chile