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Our different goals and scientific interests are interlinked and form a nucleus around the geometric study singularities of varieties, dynamical systems and differential equations. It is divided into the following sections (the usual techniques in brackets):
- Reduction of singularities and applications (Algebraic and Analytic Geometry Complex).
- Existence and explicit construction of solutions of differential equations ordinary and partial differential (Newton polygon and polyhedron).
- Asymptotic expansion in several variables and functions of Gevrey type. Nature of solutions (summability, asymptotic analysis and functional).
- Galois theory of differential equations (differential algebra).
- Geometric study of singularities of vector fields (differential equations, real analytic geometry).
- Topological classification of vector fields in dimension three. (Hartman-Grobman, explosions)
- Singular Holomorphic Foliations, local and global study. (Complex geometry, reduction of singularities, holonomy).
- Dynamics associated with holomorphic diffeomorphisms in several variables. (Summability, resurgence, normal forms). ol>
![](/images/files/grupos/ua.jpg)
 Felipe Cano Torres
![](/images/files/grupos/uva.gif)
 Jose María Cano Torres
![](/images/files/grupos/uva.gif)
 Sergio Alejandro Carrillo Torres
![](/images/files/grupos/unal.gif)
 Nuria Corral Pérez
![](/images/files/grupos/uc.jpg)
 Alberto Lastra Sedano
![](/images/files/grupos/uah.gif)
 Lorena López Hernanz
![](/images/files/grupos/uah.gif)
 Beatriz Molina Samper
![](/images/files/grupos/uva.gif)
 Jorge Mozo Fernández
![](/images/files/grupos/uva.gif)
 Javier Sanz Gil
![](/images/files/grupos/uva.gif)
 Fernando Sanz Sánchez
![](/images/files/grupos/uva.gif)
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![logo](/images/files/grupos/uah.gif)
![logo](/images/files/grupos/uc.jpg)
![logo](/images/files/grupos/ua.jpg)
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