MSCA-PF: Joint application at the University of Granada. Department of Mathematical Analysis

Professor Miguel Martín from the Department of Mathematical Analysis at the University of Granada, welcomes postdoctoral candidates interested in applying for a Marie Skłodowska-Curie Postdoctoral Fellowships (MSCA-PF) in 2021 at this University. Please note that applicants must comply with the Mobility Rule (more information about the 2020 call: http://sl.ugr.es/0aNV, the 2021 call is not yet open).

Brief description of the institution:

The University of Granada (UGR), founded in 1531, is one of the largest and most important universities in Spain. With over 60.000 undergraduate and postgraduate students and 6.000 staff. UGR offers a total of 89 degrees, 110 master’s degrees and 28 doctoral programmes through its 123 departments and 27 centers. Consequently, the UGR offers one of the most extensive and diverse ranges of higher education programmes in Spain.

The UGR has awarded with the "Human Resources Excellence in Research (HRS4R)", which reflects the UGR’s commitment to continuously improve its human resource policies in line with the European Charter for Researchers and the Code of Conduct for the Recruitment of Researchers. UGR is also a leading institution in research, located in the top of Spanish universities by a variety of ranking criteria, such as national R&D projects, fellowships awarded, publications, or international funding. UGR is one of the few Spanish Universities listed in the Shanghai Top 500 ranking - Academic Ranking of World Universities (ARWU) (http://sl.ugr.es/0bsW). The UGR is amongst the 201-300 first universities of the world, between 2nd-5th position of Spanish universities and number 1 in the Andalusian Region in the Shanghai Top 500 ranking. Specialties at UGR that stand out are Library & Information Science (position 32) and Food Science & Technology (position 36). Moreover, the UGR is also situated amongst the first 100 universities in Mining & Mineral Engineering between (76th-100th position), in Mathematics (between 76th-100th position) and in Hospitality & Tourism Management (between 76th-100th position). The edition of the ARWU places the UGR in 201-300th position in the world and as the 4th highest ranked University in Spain, reaffirming its position as an institution at the forefront of national and international research.

Additionally, the UGR has 8 researchers at the top of the Highly Cited Researchers (HCR) list in Computer Sciences & Engineering (position 101-150). It is also well recognized for its web presence (http://sl.ugr.es/0a6i), being positioned at 43th place in the top 200 Universities in Europe.

Internationally, we bet decidedly by our participation in the calls of the Framework Programme of the European Union. For the duration of the last two Framework Programmes, the UGR has obtained a total of 67 projects, with total funding of 18.029 million euros, and for H2020, 118 projects with total funding around 29.115 million euros.

Brief description of the Centre/Research Group:

IMAG is a mathematics research institute located in Granada (Spain). It was selected in November 2007 as one of the four physical locations of the Spanish Institute of Mathematics (IEMath), in a competitive public call, which also selected the Centre de Recerca Matemática (CRM) in Barcelona, the ICMAT in Madrid (ICMAT) and IEMath-Galicia. IEMath-GR is now part of the University of Granada as a local Research Institute. The Institute is an instrument for the mathematical community, in order to enhance and spread the knowledge in mathematics. To develop this task, the Institute receives visitor researchers in collaboration with local or national researchers, and hosts different kinds of math events: Conferences, Workshops, Seminars, Advanced Courses, etc.

Starting formally its activities in March 2013, more than 120 researchers have enrolled the institute since its inception, including internal and external members; a full list can be found at http://iemath.ugr.es/members/

The research developed in IEMath-GR is done along many different areas of Mathematics as Differential Geometry, PDEs, Functional Analysis, Statistic, Modelization, Geometric Analysis… The research proposed in the present project is set in the area of Functional Analysis, more concretely in the Geometry of Banach spaces in the frame of a research group formed by more than 10 active researchers in the field. More information can be found in http://banach.ugr.es/datos_inicio/

Project description:

Title: “Geometric techniques in the study of operators on Banach spaces”

This project is mainly devoted to study operators between Banach spaces through geometric methods. Moreover, the project also deals with the study of geometric and algebraic properties of Banach spaces. We are focused on the following basic topics:

- Optimization of operators and functionals: operators attaining the norm, Bishop-Phelps-Bollobás property, compact operators attaining the norm, Bishop-Phelps-Bollobás modulus, proximinality and Read’s norms.

- Numerical index of operators and Daugavet like properties: numerical range with respect to an operator, numerical index of an operator, Daugavet centers, numerical index and second numerical index.

- Geometry of the unit ball of a Banach space: diameter two properties, Radon-Nikodým property, nice operators and spaces, slicely countably determined spaces, octahedrality.

- Lipschitz operators and functionals: isometric and isomorphic properties of spaces of Lipschitz functions on metric spaces and of Lipschitz-free spaces, Lipschitz operators and functionals attaining the norm, numerical range of Lipschitz operators, Lipschitz Spears and Lipschitz Daugavet centers.

More information about the current objectives and recent results can be found in the web page

http://www.ugr.es/local/mmartins

On the other hand, the proposal is open to the study of any topic inside the geometry of Banach spaces which would be of common interest.

Research Area:

• Mathematics (MAT)

For a correct evaluation of your candidature, please send the documents below to Professor Miguel Martín (mmartins@ugr.es ):

• CV
• Letter of recommendation (optional)