Project description
Building bridges with circles
In mathematics, bridging the gap between continuous theories and their discrete models is key to accurate predictions in fields from geometry to physics. One promising approach involves circle patterns, arrangements of overlapping circles that mimic the properties of conformal, or angle-preserving, geometry. Supported by the Marie Skłodowska-Curie Actions programme, the CircleBridge project is extending circle patterns into the broader realm of complex projective structures. Researchers aim to connect discrete conformality with deep theories of hyperbolic 3-manifolds and Teichmüller spaces, while also probing applications in statistical mechanics. The project brings together experts on both sides of the Atlantic, advancing not only abstract mathematics but also new computational tools with potential to reshape multiple scientific disciplines.
Objective
In our digital age, the development of discrete models that accurately capture the essential properties of their continuous counterparts is crucial for precise predictions and broad applications, from statistical mechanics to computer science. The CircleBridge project focuses on discrete conformal structures, particularly circle patterns, which serve as effective discretizations of conformal (angle-preserving) geometry — a field deeply rooted in complex analysis, geometry, and differential equations.
CircleBridge seeks to expand the concept of circle patterns into the broader realm of complex projective structures, laying the groundwork for new theoretical insights. The project has two primary objectives: First, it aims to deepen our understanding of the space of circle patterns, developing computationally feasible tools to connect discrete conformality theories with their continuous analogs in Teichmüller theory and hyperbolic 3-manifolds. Second, CircleBridge will explore the implications of these findings in statistical mechanics, where circle patterns have recently emerged as a universal framework for the planar bipartite dimer model.
By uniting leading experts from these fields in a transatlantic collaboration, CircleBridge will advance both theoretical knowledge and practical methodologies. This interdisciplinary effort aims to create a unified mathematical framework, paving the way for future discoveries across multiple disciplines.
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.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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) HORIZON-MSCA-2024-PF-01
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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.
4365 ESCH-SUR-ALZETTE
Luxembourg
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.