RESEARCH:
List of Research Groups Recognized by the University of Valladolid coordinated by members of the IMUva:
- Applied Functional Analysis (AFA)
Coordinator: Manuel Nuñez Jiménez
Research Lines: Magnetohydrodynamics, Harmonic Analysis and Wavelet Theory, Asymptotic Developments, Quantum Mechanics
- Numerical Analysis of Evolution Problems (ANPE)
Coordinator: César Palencia de Lara
Research Lines: Comprehensive Transforms. Finite elements. Geometric integrators. Exponential integrators. Parabolic type equations. Memory equations. Absorbing and transparent boundary conditions. Evolution problems with values at the border.
- Numerical Analysis of Evolution Problems. Applications in Biomathematics (ANPEAB)
Coordinator: Luis María Abia Llera
Research Lines: Scientific Computing in Biomathematics. Numerical analysis of evolution problems.
- Numerical and stochastic analysis, Dynamic optimization and Applications (ANEODA)
Coordinator: Guiomar Martín Herrán
Research Lines: Numerical solution of ordinary differential equations and partial derivatives: highly oscillatory problems, stochastic analysis, geometric integration, analysis of finite element and spectral methods, dynamic adaptability and stabilization. Study of dynamic individual rationality in differential games: theory and economic applications. Applications: molecular dynamics, mechanical systems, formation of structures in reaction-diffusion equations, fluid dynamics, analysis of financial products, economic growth, international trade, the environment and marketing.
- Information Coding and Cryptography (CIC)
Coordinator: Angela Isabel Barbero Díez
Lines of Research: Error Correcting Codes. Discreet mathematics. Cryptography and cryptographic protocols. Smartcards.
- Equations and Singularities (ECSING)
Coordinator: Felipe Cano Torres
Research lines: Galois theory of differential equations. Geometry and topology of vector fields. Explicit construction of ODEs and EDPs solutions. Singular holomorphic foliations. Classification of difeomorphisms in several variables. Asymptotic developments. Singularity reduction.
- Mathematical Physics (FM)
Coordinator: Luis Miguel Nieto Calzada
Research Lines: Algebraic techniques in Quantum Physics and applications in condensed matter Physics models: graphene, nanotubes, ... Geometric techniques in Gravitation and in Field Theory. Integrable and superintegrable systems. Resonances in quantum mechanics. Supersymmetric quantum mechanics.
- Biomedical Engineering Group (INGBIO)
Coordinator: Roberto Hornero Sánchez
Research Lines: Analysis of biomedical signals to aid in the diagnosis of neurodegenerative diseases. Processing of fundus images for the aid in the diagnosis of diabetic retinopathy. Rehabilitation technologies. Development of Tele-Ophthalmology services. Analysis of oximetry signals and air flow to aid in the diagnosis of sleep apnea-hypopnea syndrome (SASH)
- Statistical Inference with Constraints (IER)
Coordinator: Cristina Rueda Sabater
Research Lines: Smoothing methods with shape restrictions. Small area estimation. Estimation and hypothesis testing in normal models with restrictions. Classification rules with restrictions.
- Dynamic Optimization, Mathematical Finance and Recursive Utility (ODFMUR)
Coordinator: Julia Martínez Rodríguez
Research Lines: Dynamic Optimization. Mathematical Finance. Recursive Profit
Preferences, Social Choice and Decision Support (PRESAD)
Coordinator: José Luis García Lapresta
Research Lines: Decision support. Modeling preferences. Social choice.
- Probability and Mathematical Statistics (PEM)
Coordinator: Luis Ángel García Escudero
Research Lines: Analysis of functional data. Robust statistical methods. Clipping techniques and statistical applications. Study of probabilistic metrics and their statistical applications. Resampling based methods. Bootstrap techniques.
- Singularities, Algebraic Geometry, Algebra, Commutative, Coding, Combinatorics, Computing and Optimization (SINGACOM)
Coordinator: Antonio Campillo López
Research Lines: Global geometry of curves and meromorphic vector fields. Affine and projective algebraic geometry. Toric geometry. Discreet mathematics. Graphs. Algebra and algebraic geometry applied. Solving singularities, methods and algorithms. Local algebra. Graduations. Ratings. Entire closure of ideals. Linear systems with assigned base conditions. Interpolated applications. Poincaré series. Integration. Applications to the theory of singularities. Arch spaces. Motivic integration. Applications. Classification of singularities and equisingularity. Non-commutative geometry. Homological aspects. Algebro-geometric codes. Coding and decoding. Algebraic combinatorics. Applications. Combinatorial optimization. Symbolic computation in algebraic geometry and singularities. Logic in computing. Algorithm complexity.
Coordinator: Rafael Obaya García
Research Lines: Orbital Dynamics. Non-autonomous control theory. Nonlinear branching theory. Models in biology and engineering. Non-autonomous differential equations. Almost-periodic and quasi-automorphic dynamics.
- Ring Theory. Computational Applications and Methods (TAAMC)
Coordinator: Philippe T. Gimenez
Research Lines: Theory of Valuations and Equisingularity. Computational Aspects of Commutative Algebra and Effective Calculation of Invariants: Design and Implementation of Algorithms. Functional Rings and Topological Rings Linear Algebra on Rings. Systems and Control Theory.
