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'. 

Email Print
ERC group
MSCA Group
Scientific Supervisor
Alejandro Melle Hernández
Contact email
Esta dirección de correo electrónico está protegida contra spambots. Usted necesita tener Javascript activado para poder verla.
Research group
Departamento de Álgebra, Geometría y Topología
Faculty / Institute
Faculty of Mathematical Science
Group description

Algebraic and analytic geometry; Topology of low dimensions; Cryptography; Varieties arithmetic; Singularities; Topology of low dimensional varieties; Singularities, algebra and topology.

Departamento de Álgebra, Geometría y Topología.
49 professors.
5 iP of national research projects in effect.
In the last 10 years 230 publications in scopus.
Research topic
Discriminants of parametric families of positive toric varieties

Binomial ideals are well established mathematical structures and they are often encountered in applications. Examples of recent applications include Algebraic Statistics and Algebraic Systems Biology. Geometrically a binomial ideal corresponds to the union of several toric varieties. Toric varieties are often described in terms of monomial parametrizations which makes them computationally tractable. In many applications only the nonnegative roots of a polynomial system have physical meaning. For binomial ideals this is especially interesting because at most one irreducible component of their varieties intersects the interior of the positive orthant.
The roots of polynomials often represent modi operandi of dynamical systems. Hence in principle the number of roots has a physical interpretation. It is often the case that measurement data for these systems is noisy, hence it is encoded in a set of parameters. In order to be consistent with this fact, it is crucial that the error bars do not intersect several regions in the space of parameters corresponding to different number of roots. Hence the classification of the parameter space with respect to the number of roots plays a core role. Such classification can be done through the discriminant variety. In the case of systems with positive roots, Sturm Discriminants can be systematically used to classify the parameters. As discriminantal methods heavily depend on elimination ideals, the existence of a binomial basis greatly reduces the computation time through the use of monomial parametrizations.
In this project we propose the use of Gröbner bases and Sturm discriminants for the study of parametric families of positive toric varieties, and their applications.
Research area
Mathematics (MAT)
Candidatures: requirements
- Curriculum Vitae
- Research Plan
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