Objective
This fellowship will enable the Experienced Researcher Dr. Gian Maria Dall'Ara and Dr. Alessio Martini, as Host Researcher based at the University of Birmingham, to carry out innovative research at the interface of harmonic and complex analysis. This very active research area has deep connections with the most disparate fields, from algebraic, complex and subriemannian geometry to analysis on Lie groups and numerical harmonic analysis. Despite the spectacular developments of the last decades, many fundamental problems remain open and several phenomena lack a conceptual explanation. Dall'Ara will bring a point of view influenced by mathematical physics in which some of the key questions are interpreted in terms of uncertainty principles for generalized Schrödinger operators, and he has already proved the effectiveness of this approach in a number of situations. Dr. Alessio Martini's mastery of harmonic analysis in various non-Euclidean settings will provide the crucial ingredient to disclose the full potential of these novel ideas. The project consists of various interconnected working packages, mainly focusing on two mathematical objects naturally attached to real hypersurfaces embedded in complex manifolds: Cauchy-Szegö projections and spectral multipliers of Kohn Laplacians. The former are higher dimensional incarnations of the classical Cauchy integral, and as such they are of central importance in modern complex analysis in several variables. The project will increase our understanding of the nature of their singularities and mapping properties under general geometric assumptions involving for example the Ricci curvature. Kohn Laplacians are the natural Laplacians in this context and the study of their spectral multipliers fits into a wider set of problems lying at the heart of contemporary harmonic analysis. Our methods are a combination of geometric analysis, singular integral theory and mathematical physics.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics applied mathematics mathematical physics
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis complex analysis
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) H2020-MSCA-IF-2018
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
B15 2TT Birmingham
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.