French Australian International Research Laboratory in Maths


2014 – 2021
Filipo Santambrogio


Credits: All images of this page come from the paper Joan Licata and Vera Vértesi: “Foliated open books”


The IRL “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


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


Stephen RobertsMathematical 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 pages of a foliated open book near a surface.

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

The open book foliation of an embedded torus.

The gradient flow lines corresponding to an open book foliation.



International Research Laboratory Formath Vietnam


Creation date: 2008
Pr. Marc Peigné



The signing institutions of the IRL Formath Vietnam are CNRS, Université Paul Sabatier Toulouse III, Institut National des Sciences Appliquées, Université d’Orléans & Université de Tours, Université Paris 13, Université Paris 8, the Vietnam Academy of Science and Technology (VAST), the Vietnam Institute for Advanced Study in Mathematics (VIASM), the National University of Singapore (NUS) and Nanyang Technological University (NTU).

The IRL Formath is currently directed by Pr Marc Peigné (Université de Tours).  It is one of the 75 IRL developed by the CNRS with strategic partners across the world and the only IRL in Vietnam.

In Singapore, the partner labs are

  • the Department of Mathematic (NUS);
  • the School of Physical and Mathematical Sciences (NTU).

In Vietnam, the partner labs are

  • the Vietnam Academy of Science (VAST);
  • the Vietnam Institute for Advanced Study in Mathematics (VIASM).

In France, the historical partner labs are

  • the LAGA ( Laboratoire Analyse, Géométrie et Applications, CNRS et Université Paris 13);
  • the MITSIC (UFR Mathématiques, Informatique, Technologies, Sciences de l’Information et de la Communication, Université Paris 8);
  • the  IDP (Institut Denis Poisson, CNRS et Universités d’Orléans et de Tours).

Mission and research themes


Bridge top researchers and labs of CNRS, VAST, VIASM, NUS and NTU into fruitful collaborative links and networks around selected topics in mathematics. Promotion of doctoral and postdoctoral collaborations, including the coordination of international masters programs and schools.

Research Axes

  • Algebra, Geometry, Topology, and Discrete Mathematics.
  • Analysis and applications, scientific computing.
  • Optimization and control.
  • Probability, Statistics, Finance

laboratories involved


Université Paris 13: CNRS – LAGA
Université Paris 8: MITSIC
Université Toulouse I, II et III – INSA – CNRS: IMT
Universités d’Orléans et de Tours – CNRS:  IDP
Université Grenoble Alpes – CNRS:  IJF
Université de  Nice Sophia Antipolis – CNRS: Laboratoire Jean-Alexandre Dieudonné
Aix Marseille Université – Ecole Centrale de Marseille – CNRS:  I2M
Université de Bordeaux – CNRS:  LaBRI
Université de Nantes – CNRS: Laboratoire Jean Leray
Université de Rennes 2 – CNRS: IRMAR
Université de Lille – CNRS: Laboratoire Paul Painlevé


National University of Singapore:  DPT of Mathematics
Nanyang Technological University: SPSM
Yale-NUS: Science Division
Singapore University of Technology and Design:  Science and Maths Cluster


VAST: Institute of Mathematics
University of Science at VNU Hanoi: Faculty of Mathematics Mechanics Informatics
Hanoi National University of Education: Department of Mathematics and Informatics
University of Science Ho Chi Minh City: Central Lab for Analysis
Saigon University
Ho Chi Minh Pedagogical University
Vinh University



French-Vietnamese International Emerging Action in Mathematics

Dr. Tuan Ngo Dac

Dr. Duy Tan Nguyen



The IEA ArGex (International Emerging Action Arithmetic and Galois extensions of function fields), managed by Dr. Tuan Ngo Dac (CNRS, Institut Camille Jordan, Université Claude Bernard Lyon 1) in collaboration with Dr. Nguyen Duy Tan (Institute of Mathematics, Vietnam Academy of Science and Technology) will be effective in 2020 and 2021.

Missions and research themes

This project concerns investigations in Number Theory. This is one of the fundamental branches of mathematics which has practical applications in computer science (e.g., in coding theory) and cryptography. The investigators propose several projects in arithmetic geometry and number theory that explore deep links between the analytic, arithmetic and combinatorial information encoded in certain objects associated to global function fields and their Galois extensions. Of particular interest, we focus on explicit construction of Galois extensions of function fields and on quantities attached to Anderson-Drinfeld motives, especially special zeta and L-values. We should mention that our proposal is suitable for numerical experiments as well as applications to cryptography or coding theory such as the construction of curves having many rational points. 
Keywords. Curves over a finite field, Drinfeld modules, Anderson motives, Galois cohomology, function field, Massey products, zeta and L-values, transcendence theory.

Main projects of research

Our proposal is composed of two main projects of research. The first one investigates several explicit construction of Galois extensions of function fields. The second one concerns function field arithmetic via combinatorial and transcendence methods.
17-28 Feb 2020
Organizers : Nguyen Duy Tan, Nguyen Chu Gia Vuong, Phung Ho Hai (IMH, Vietnam) Tuan Ngo Dac (CNRS Lyon 1, France) and Bruno Anglès (Caen, France),
CIMPA-SEAMS School “Arithmetic, Geometry and Model Theory”, Hanoi (Vietnam).

institutions and laboratories involved

• Dr. Tuan Ngo Dac (UMR5208, Institut Camille Jordan, CNRS and Université Claude Bernard, Lyon, head of the team)
• Bruno Anglès (Laboratoire de Mathématiques Nicolas Oresme, CNRS and Université de Caen)
• Tiphaine Beaumont (PhD student, Université de Caen)
• Huy Hung Le (PhD student, Université de Caen)

• Dr. Duy Tan Nguyen (Researcher, IMH Hanoi, local head)
• Chu Gia Vuong Nguyen (Researcher, IMH Hanoi)
• Lan Huong Pham (PhD student and researcher, IMH Hanoi)