Postdoctoral Fellowships

Marie Skłodowska-Curie Actions (MSCA) aim to support the career development and training of researchers in all scientific disciplines through international and intersectoral mobility.

The fellows carry out their own research project in collaboration with a host institution, which is indicated at the time of their application. Researchers of all ages, nationalities and scientific disciplines can apply.

Postdoctoral Fellowships (MSCA-PF) provide an extremely enriching experience, that enhance the career perspectives for researchers by developing new scientific competences and gaining international and collaborative research experience.

Complutense as a Host Institution


The Complutense University of Madrid (UCM) is a public research university located in Madrid, and one of the oldest universities in the world (founded in 1499).

The UCM enrols over 80,000 students, almost 6,000 faculties and more than 3,000 administration and service staff and consistently ranks as one of the top universities in Spain. 

Research Groups

There are more than 200 UCM research groups interested in hosting researchers through MSCA Postdoctoral Fellowships.

They are looking for ambitious, creative and scientifically curious researchers who meet the MSCA-PF eligibility criteria.

If you are ready to take the next step in your research career look into our university's host offers.

European Office

The Complutense University of Madrid as host institution, through a dedicated European Research Office, supports MSCA Postdoctoral Fellowship candidates both in the application process and in managing the grant.

We offer, among other specific support services, an in-depth review of the proposal by experienced advisors: internal deadline to send the draft proposal to office is August 31, 2021.

Expressions of Interest

The next section include information about several UCM supervisors that have expressed their interests to host MSCA experienced researchers in their research group. If you are interested in one of them, you should contact the corresponding Scientific Supervisor directly.

The web search application will help you find the offer that best suits your interests. Just enable and use the filters (click on the filter icon). You can search by faculty, research area, and research topic to be proposed / description of the research group (by means of keywords). Visit the links provided in the search results (table below) to display further information.

Some offers the supervisors ask for particular documents. If you are required to submit a project proposal or you do not know exactly what send to present your candidature, you can use our template 'One Page Proposal'. 

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ERC group
MSCA Group
Scientific Supervisor
Elías Baro
Contact email
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Research group
Geometría algebraica y analítica real (Real algebraic and analytic geometry)
Álgebra, Geometría y Topología
Faculty / Institute
Faculty of Mathematical Science
Group description
Real Geometry studies many of the objects and structures arising from the mathematical modelling of physical and technological processes, that is, it studies those objects defined through equalities and inequalities involving real valued functions (polynomial, Nash, analytic, differentiable, semialgebraic, constructible, etc.). This subject also includes the construction and development of the suitable structures to analyze those objects, as well as the relevant computational methods: algorithms and complexity. Our research lines include "Rings of Semialgebraic Functions", "O-minimality", "Polynomial, regular and Nash images of Rn", "Real Analytic Geometry", "Real algebraic curves", "Sums of squares and Knot Theory", "Constructibility and algorithms".

By the nature of the studied objects, the approached problems and the used techniques, all our research lines can be included in the so-called Real Algebraic and Analytic Geometry (Mathematical Subject Classification: 14Pxx). Important research European and North-American groups and independent researchers of other countries (for instance: Japan, Brasil, Chile, etc.) have worked in this field for more than 40 years. It is worthwhile mentioning that our group collaborate with several of these international research groups.
Research group website
Research topic
Our main goals are the following:

1) Rings of semialgebraic functions. Classification of semialgebraic sets, semialgebraic Stone-Cech compactification, semialgebraic Zariski spectrum, Lojasiewicz inequalities.

2) o-minimality. Definable groups on o-minimal structures, definiblely compact abelian groups, groups of finite Morley's rank.
Real Analytic Geometry. Real Geometry on non-coherent analytic surfaces. 17th Hilbert's problem for Rn: multiplicative formulae and reduction to the irreducible case.

3) Polynomial, regular and Nash images of Rn. Conditions concerning the boundary and the set of infinite points of the polynomial and regular images of Rn. Characterization of those semialgebraic sets which are Nash images of Rn.

4) Applications of sums of squares:
(A) Integral sums of squares and their relationship with the theory of knots and coverings.
(B) Optimization of polynomials on semialgebraic sets.

5) Real algebraic curves. Real forms of a complex curve, moduli of real curves, real and complex genera of a finite group, actions of finite groups on Belyi surfaces.

6) Constructibility and Algorithms. Constructive algebra and dynamic methods, elementarily recursive bounds, stability in symbolic computation
Research area
Mathematics (MAT)
Candidatures: requirements
The interested fellows must submit a CV and a recommendation letter. They also have to attach a brief presentation letter with a description of their research work, and how it is linked with the research lines of our group.
Candidatures: deadline
Avda. Complutense, s/n; Ciudad Universitaria; 28040 - MADRID

Tenure-Track Position for Marie Skłodowska-Curie Global Fellowships?

The "Plan de Actuaciones en Profesorado 2020-23 (ES)" of the Complutense University includes among its calls several options for further hiring of researchers with a PhD. All options require an excellent CV and being granted National Accreditation.

Among the requirements for the stabilization of a Researcher to Assistant Professor, it is required that the researcher has spent at least 3 years as a researcher hired by the UCM in a competitive public call.

Global Fellowships are open to researchers currently within or outside Europe who want to move to a Third Country for 1-2 years and then come back to the Complutense University for an additional year. Therefore, researchers who have been awarded a three-year Global Fellowship would be, after the end of the project and with the current regulatory framework, in a position to meet this condition.

In certain situations, it has been possible for a researcher with at least 2 years working at UCM to opt for a position as a junior Associate Professor.

Complutense University of Madrid
European Office