Objective
The candidate proposes to investigate certain highly symmetric finite partial linear spaces using methods from combinatorics and group theory. A partial linear space consists of a set of points and a set of subsets of points called lines for which each pair of points lies on at most one line, and each line contains at least two points. Both linear spaces and simple undirected graphs are examples of partial linear spaces. For a class of graphs X, a graph G is X-homogeneous if any isomorphism between induced subgraphs of G that are isomorphic to a member of X can be lifted to an automorphism of the entire graph. This definition can naturally be extended to partial linear spaces for any class of partial linear spaces X. The candidate has two long-term research goals. The first is to understand X-homogeneous partial linear spaces S where X is the class of connected partial linear spaces (possibly with bounded size). This leads to two main research objectives. Objective 1 is to focus on the case when S is not a graph or a linear space, where nothing is yet known. Objective 2 is to continue her work on the case when S is a graph and the members of X have bounded size. The second long-term goal of the candidate is to understand partial linear spaces admitting automorphism groups of low rank, which again leads to two main research objectives. Objective 3 is to complete the classification of the primitive permutation groups of rank at most 5. Objective 4 is to use this classification to investigate certain partial linear spaces with rank 4 automorphism groups. These four objectives will enhance the expertise of the mathematical community. They will also lay the foundations for a future programme of research for the candidate and enable her to obtain a permanent academic position.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra linear algebra
- natural sciences mathematics pure mathematics discrete mathematics graph theory
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
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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-EF-ST - Standard EF
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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-2016
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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.
SW7 2AZ London
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.