European projects

Quasiconformal methods in analysis and applications

QUAMAP is an ERC Advanced project with four nodes, the University of Aalto, the University of Helsinki, the University Autónoma de Madrid and the CSIC. The project aims to address various problems classified as high risk/high gain. The topics are very diverse, from the calculation of vectorial variations, the non-linear Fourier analysis, the fluid mechanics or the inverse problems.

Start date: 09/01/2019
Duration: 60 months
€: 405.750,00

Geometric function theory, inverse problems and fluid dynamics

GFTIPFD is an ERC consolidator project that ran from 2012 to 2018. In the link you will find our objectives and achievements.

Start date: 10/01/2012
Duration: 72 months
€: 1.121.400,00

National Projects

Variational Analysis and Geometry applied to Inverse Problems

IP: Daniel Faraco/Luis Guijarro
Start date: 09/01/2022
Duration: 3 years
€: 140.844,00

Calculation of Variations and Geometry with Applications to Continuous Media Mechanics and Inverse Problems

IP: Daniel Faraco/Luis Guijarro
Start dateo: 01/01/2018
Duración: 57 months
€: 69.454,00

Analysis with Applications to Inverse Problems

IP: Daniel Faraco/Luis Guijarro
Start date: 01/01/2015
Duration: 4 years
€: 40.131,00

Regional projects
of Comunidad de Madrid


During year 2021, Comunidad Madrid declares some proffesorships, excellent professor. These Positions have some money associated to be shared by the researcher and the deparment.

IP: Daniel Faraco
Start date: 01/01/2021
Duration: 4 years
PI €: 37.500,00

Proyectos competitivos Intramurales

Cuasiconformes en la UAM QUAMAPCUAM

This intramural Project is devoted to develope applications of quasiconformal maps.

IP: Daniel Faraco
Start date: 01/01/2021
End date: 12/31/2024
€: 40.575,00

Teoría geométrica de funciones problemas inversos y mecánica de fluidos

This intramural Project is devoted to develope tpoica related with turbulent solutions in fluid mechanics.

IP: Daniel Faraco
Start date: 09/01/2018
End date: 08/31/2023
€: 70.632,26

Research Groups:

Analysis and Geometry with Applications to Inverse Problems

Agapi (love in Greek) is a project coordinated between the University Autónoma of Madrid, the University Politécnica de Madrid and the CSIC, a merger of several previous MTMs. The topics are diverse but the link among them is the interest in inverse problems. Research conferences are regularly organised and named "the AGAPI days".

Geometry and variational analysis with applications to inverse and mechanical problems

AGAVIM is our research group at the University Autónoma de Madrid. As indicated by the acronym, our interest is analysis and geometry applied to inverse and mechanical problems.

ICMAT has achieved its third Severo Ochoa project. These prestigious projects in particular offer master, pre-doctoral (the so-called FPIs) and postdoctoral scholarships.

The Kari Astala laboratory, which I coordinated from 2015 to 2019, hired postdoctoral researchers, organised events and promoted lines of research related to the quasi-conformal world.


Open Calls


  • Technician Researcher
    These calls depend on the projects for which I am the principal investigator, so if the financial situation allows it, calls can be made for the incorporation of researchers into the project in a relatively short time.
    Interested researchers please contact me.
  • Predoc Position: Forhcoming call.