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• IMI established in 2007 to foster interdisciplinary research involving Mathematics
• Funding 2009:
• Seeding money from UCM: 90.000 €• Research grants from participants: 1.000.000 €
www.mat.ucm.es/imi
Some dataSome data
Operational structureOperational structure
BoardDirector: Dr. Miguel Ángel HerreroSecretary: Dr. Antonio Díaz-Cano
StaffManager: Marta Arregi
Management assistants: Natividad López, Alba Táboas
Executive CommitteeBoard
ManagerScientific Programmes Coordinators
Scientific Programmes 2010Scientific Programmes 2010--20112011MATLISMathematics in Life and Social SciencesCoordinator: Miguel A. Herrero.
EQUSEntanglement in
Quantum SystemsCoordinator: David Pérez
TIDDecision and Information TechnologiesCoordinator: Miguel A. Gómez‐Villegas.
MODySIMModelling and Simulation of Problems in Physics and Engineering Coordinators: J.I. Díaz, Á.M. Ramos, L. Vázquez
MATPURPure Interthematic
Mathematics Coordinators: Jesús M. Ruiz
Francisco Romero,Luis Giraldo.
x y
a b
)|( xyabp
Setting
Main goal: To understand the difference between the correlations achievable in quantum mechanics with respect to those coming from classical mechanics.Applications: communication technologies, complexity theory, cryptography.
Main goal: to characterize the most intriguing global quantum phases of nature (topological order, long-range entanglement, percolation, …) in a local way, via the so called Tensor Network States.
Main goal: To derive models for the formation of early vasculature in vertebrates using chick embryos as a model.
Participants: A. Deutsch (Professor TU Dresden), A. Köhn (Graduate Student, UCM, Madrid), J.M. Pérez‐Pomares (Associate Professor, Universidad de Málaga).
Main goal: To derive and analyse mathematical models for the BloodCoagulation Cascade in order to improve current antibleeding procedures.
Participants: Academic Partners: J.C. Carballo (Graduate Student, Universidad de la Habana), G. Guria (Professor, National Centre for Haematology, NCH, Moscow), K. Zlobina (Posdoc, NCH, Moscow)Medical Partners: C. Altisent (MD, Hospital de la Vall d´Hebrò, HVH, Barcelona), E. Arellano (MD, HVH Barcelona) J. C. Souto (MD, Hospital Santa Creu i Sant Pau, HSC Barcelona), P. Fuentes (Ph. D, HSC Barcelona)
Main goal: To derive integrated models for optimal radiation delivery whichfocus on medical targets and minimize side effects.
Participants: Academic Partners: J.C. López (Graduate Student, UCM).Medical Partners: L. Nuñez (Ph. D, Hospital Universitario Puerta de Hierro, Madrid)
Anatomical data: location, size, shape
Physical Plan: HI=1.5-2.5, high DR
Physical Planning
Main goal: To study mathematical models to describe the evolution of complex populations subject to resource competition under the action of global constraints.
Participants: J. C. Nuño (Universidad Politécnica de Madrid , M. Primicerio (Universitá di Firenze , Italy).
MATPURMATPUR
Pure Interthematic MathematicsPure Interthematic Mathematics
Coordinators:Coordinators:
JesJesúús Ruiz (UCM), Francisco Romero s Ruiz (UCM), Francisco Romero (UCM), Luis Giraldo (UCM)(UCM), Luis Giraldo (UCM)
FrameworkFramework
MATPUR aims to be centered around topics that even when included in the realm of pure mathematics, are relevant for applications and for the development of other scientific areas.
Aims of the concentration periodAims of the concentration period
We will carry out a series of activities centered around dynamics and geometry, considered from different perspectives: topological and holomorphic dynamics, foliations and flow quasi‐invariant sets in classical and quantum mechanics.
Dynamics and geometry: three approachesDynamics and geometry: three approaches
NetworkNetwork
The activities are being developed with the support of several funding agencies and involve researchers from a number of Spanish and foreign universities.
Topics of the concentration periodTopics of the concentration period
Quasi‐invariant sets under the flow of a dynamical systema in classical and quantum mechanics.Organizer: Daniel Azagra (UCM).
Participants include: L. Vega (EHU‐UPV, Spain), F. Macià (UPM, Spain), A. Davini (Rome, Italy), A. Fathi (Lyon, France), R. Pérez Marco (CNRS, France).
Plane dynamics.Organizer: Francisco Romero (UCM).Participants include: M. Barge (Montana, USA), P. Le Calvez (Paris 13, France), R. Ghrist
(Illinois, USA), M. Haendel (CUNY, New York, USA).
Holomorphic foliations and dynamics in complex manifolds.Organizer: Luis Giraldo (UCM).
Participants include: R. Pérez‐Marco (CNRS, France), J.V. Pereira (IMPA, Brazil), J.E. Fornaess (Michigan, USA), S. Cantat (Rennes 1, France), M. Brunella (Bourgogne, France).
Dynamics and geometry: three approachesDynamics and geometry: three approaches
Differential geometry and systems symmetry (J.M. Ancochea)
Geometry of projective varieties (E. Arrondo)
Algebraic and real analytic geometry (A. Díaz-Cano)
Functional spaces, operators and applications (F. Hernández)
Non-linear functional analysis (J.A. Jaramillo)
Singularity theory and its applications in arithmetics, cryptography, geometry and topology (I. Luengo)
Shape theory and topological dynamics (F. Romero)
Some research lines included Some research lines included
and scientists in chargeand scientists in charge
MODySIMMODySIM
Modelling and Simulation of Problems in Modelling and Simulation of Problems in Physics and EngineeringPhysics and Engineering
Coordinators:Coordinators:
JesJesúús Ildefonso Ds Ildefonso Dííaz (UCM); az (UCM); ÁÁngel M. ngel M. Ramos (UCM); Ramos (UCM); Luis VLuis Váázquez (UCM)zquez (UCM)
Exploration of Mars
Fractional Calculus and Applications
Fronts and Interfaces in Science and Technology
High Pressure Processes and Food Engineering
Mathematical modeling in Animal Health
Partial Differential Equations in Science and Technology
Partial Differential Equations in Science and Technology (J.I. Díaz)
Universidad Complutense de Madrid (Applied Mathematics and Astronomy and Geodesy)Universidad Politécnica de Madrid (ETS Arquitectura)Universidad Autónoma de Madrid (Mathematics)Universidad Rey Juan Carlos (Applied Mathematics, Medical Images Institute)
Fronts and Interfaces in Science and Technology (FIRST)
Initial Training Networks of the European Commission (Grant Agreement Number 238702), SEVENTH FRAMEWORK PROGRAMME, PEOPLE Work Programme 2008 ”, from January 1, 2010 to December 31, 2013.
Coordinator: J.I. Díaz, UCM
Partial Differential Equations in Science and Technology (J.I. Díaz)
Some research topicsSome research topics
1. Models on Natural Resources (Climatology, Glaciology and Geodesy). • Coupling between climate (models of energy balance with a deep ocean)
and the dynamics of polar icecaps (in Glaciology).
• Socio‐economic aspects of environmental management,
• Gravity determination (Problem of Backus) in Geodesy
• Non‐deterministic climate models (volcanoes).
• Formation of river basins.
• Plant community patches as localized solutions of a reaction‐diffusion system (desertification process in southern Spain: a World CoordinationCenter for the study of desertification is established in Almeria).
Partial Differential Equations in Science and Technology (J.I. Díaz)
2. Problems arising in Elasticity. • Structures like thin shells and homogenization (Torroja roof of the
Hipódromo de la Zarzuela)• Singular perturbation problems leading to complexification phenomena
arising in certain types of thin elastic shells (unusual solution to the limit problem: it is outside the area of distributions).
• Coulomb dry friction and their properties. • Best column (according Euler), • Deformation of the Earth strata by the gravity and magma actions
(appearing in Geodynamics)• Viscoelastic materials with memory
High Pressure Processes and Food Engineering High Pressure Processes and Food Engineering
(A.M. Ramos)(A.M. Ramos)
The aim of the project is to develop mathematical models to simulate high pressure processes, mainly in the Food Engineering sector, where a new emerging technology, based on hydrostatic high pressure, is being used in order to extend food shelf life, preserving organoleptic (flavour, colour, etc...) and nutritional properties.
AimsAimsModelling the effects of temperature and Hydrostatic High pressure on microorganisms and enzymes.Solving related inverse problemsNumerical simulationOptimization and control of processes
NetworkNetworkResearch Groups at UCM (PI: V. García Baonza; A. Rey); Institute of
Refrigeration (CSIC) PI: P. Dimas Sanz Martínez; Institution Nacional de Técnica Aeroespacial (INTA) PI: O. Prieto; Institute of Material Science of Madrid (CSIC). PI: J. Sánchez; companies: Esteban Espuña, S.A.; NC Hyperbaric.
Mathematical modelling in Animal Health (A.M. Ramos)Mathematical modelling in Animal Health (A.M. Ramos)
The project aims at developing models able to simulate the evolution of epidemics in Farm animals. For instance we consider the case of Classical Swine Fever Virus (CSFV).
TopicsTopicsModelling the evolution of epidemics in Farm animals. Solving related inverse problems. Optimization and control of processes. Development of software for decision making tasks in Government agencies.
NetworkNetworkResearch Group MOMAT (PI: J.I. Díaz; A. M. Ramos); Spanish National project
MTM2008‐04621/MTM (PI: A.M. Ramos)Research Group in the Animal Health Department in School of Chemistry at
Universidad Complutense de Madrid. PI: José Manuel Sánchez‐Vizcaíno; Spanish Ministry of Agriculture, Fishing and Food (MAPA), PI: Lucio Carbajo Goñi (General Subdirector of Animal Health)
Mission DirectorMission DirectorDr. Héctor Guerrero Padrón (INTA)
Mission Scientific Director Mission Scientific Director Prof. Luis Vázquez Martínez (UCM)
http://www.europlanet.fmi.fi/metnet/
Mars MetNet (Meteorological Network) Precursor Mars MetNet (Meteorological Network) Precursor
MissionMission
We are participating in the first mission to Mars with Spanish flag (Scientific Director: Prof. Luis Vázquez), Meiga‐(Mars Environmental Instrumentation for Ground and Atmosphere) Mars‐MetNet (Meteorological Network) Precursor Mission.
It is a joint mission with Russia and Finland, and will be launched in 2011. Its aim is to place a meteorological station over the surface of Mars. The program is to place in Mars 16 meteorological stations.
Mars MetNet Precursor Mission (L. VMars MetNet Precursor Mission (L. Váázquez)zquez)
Framework Framework
The framework of the project is to carry out analytical and numerical basic studies of fractional systems. On the other hand, we consider the application of such systems to technological environments as thematerials with shape memory
Aims of the programAims of the program
To study the transition from parabolic to hyperbolic behaviour using fractional derivative.
To analysis the symmetries associated to fractional differentialequations.
Numerical schemes associated to fractional differential equations.
Applications of fractional models in different scientific and technological contexts
Fractional CalculusFractional Calculus (L.Vázquez)
TIDTID
Information and Decision TechnologiesInformation and Decision Technologies
Coordinator:Coordinator:
Miguel Miguel ÁÁngel Gngel Góómezmez--VillegasVillegas
Research topicsResearch topics
Game theory
Bayesian methods
Problems related to preferences representation
Software design
Fuzzy decision methods
Algorithmic Complexity
Some research linesSome research linesand scientists in chargeand scientists in charge
Computer algebra in artificial intelligence (E. Roanes, UCM)
Formal Analysis and Design of Software Systems, FADoSS (N. Martí, UCM)
Game theory and applications (J. Tejada, UCM)
Bayesian methods (M.A. Gómez‐Villegas, UCM)
Decision Aid Systems (J. Montero, UCM)
Some research linesSome research linesand scientists in chargeand scientists in charge
Mathematical models to assisst in decision making in natural disasters (B. Vitoriano, UCM)
WSO‐UV World Space Observatory – Ultraviolet (Europe – Russia research project) (A.I. Gómez de Castro, UCM)
DESAFÍOS: High quality software development (N. Martí, UCM)
Aid decision systems under linguistic uncertainty (J. Montero, UCM)