Introduction

The IRP “FuMa” for Fundamental Mathematics is a joint CNRS – Australian National University (ANU) initiative in the field of basic and applied mathematics, managed by Prof. Filipo Santambrogio (CNRS) and Stephen Roberts (ANU).

Mission and research themes

This project aims at promoting cooperation between mathematicians from every French university, and mathematicians from the Mathematical Science Institute (Australian National University) in Canberra.

The scientific area that we address is very broad, and has been recently extended (the previous version of this project was called AnGe (“ANalysis and GEometry”) in order to include all mathematical sciences with a priority for fundamental mathematics, but allowing projects on applied mathematics to emerge.

The researchers involved in the project have worked so far on various topics, including, in the latest years,

– differential geometry and topology

– representation theory

– harmonic analysis

– partial differential equations and optimal transport

– biostatistics

Support opportunities

The project is endowed with funds from CNRS and ANU, which are used to support research stays of French mathematicians in Canberra or of mathematicians from ANU in France. Longer stays (3 to 6 months) are preferred but one-month visits are also possible. Applications are done by sending a proposal, with a joint research project and a plan for the visit, to the colleagues in charge of the project (see below). The same colleagues should also be contacted for all practical details about the financial support (reimbursement, bookings, eligible expenses, amount…), which usually covers flight tickets, accommodation, and a small per-diem for local expenses. For French “enseignant-chercheurs” wishing to organize a 6 months visit to ANU the project can also support a request for a CNRS “délégation”.

laboratories involved

France

All labs in mathematics throughout France can take part in this project, but the project itself is hosted by UMR5208 Institut Camille Jordan, which also handles the financial matters The head of the project from the French side, to be contacted for any question is

Filippo Santambrogio, Professor, UMR5208 Institut Camille Jordan, Université Claude Bernard Lyon 1

Australia

Stephen Roberts, Mathematical Sciences Institute, Australian National University

Construction of a partial open book for a thickened surface.

Construction of a partial open book for a thickened surface.

The intersection of the pages of a foliated open book with a torus.

The gradient flow lines corresponding to an open book foliation.