Research Activities of Thomas Cluzeau

 

Cours JNCF 2020

·      Les transparents de mon cours aux Journées Nationales de Calcul Formel 2020 : transparents

Implementations

• The Mathematica package OreAlgebraicAnalysis: A Mathematica package for the algorithmic study of linear functional systems (with A. Quadrat and Maris Tõnso)

• The Maple package RationalFirstIntegrals which contains algorithms for computing rational first integrals and Darboux polynomials of planar polynomial 
  vector fields (with A. Bostan, G. Chèze, and J.-A. Weil)

• The Maple package IntegrableConnections which contains algorithms for computing rational and hyperexponential solutions of linear systems of
  PDEs written as integrable connections (with M. A Barkatou, C. El Bacha, and J.-A. Weil)
• The Maple package InterfaceConditionsReduction developed in the project SADDLES  and dedicated to the symbolic development of new domain decomposition
  algorithms based on Smith normal forms, Gröbner basis computation and constructive algebraic analysis (with V.Dolean, F. Nataf, and A. Quadrat).
  See Symbolic methods for developing new domain decomposition algorithms and the example files ReductionProblem and CompletionProblem
  

• The Maple package OreMorphisms: A homological algebraic package for factoring, reducing and decomposing linear functional systems (with A. Quadrat).
• SystemTheory: A homalg package (GAP4) dedicated to mathematical system theory (with M. Barakat, M. Lange-Hegermann, and A. Quadrat).  
• FactorModp: Maple procedures for decomposing and factoring differential systems in characteristic p.

Participations to research projects

 

• Projet ANR DIFFERENCE
• Plusieurs projets de la fédération MIRES avec Bachelier, O., Silva, F. J., and Yeganefar, Ni
• Projet ANR MSDOS (Multidimensional Systems: Digression On Stability) - Starting on january 2014
  See also Axe Méthodes Algébriques and the page of the Maple package StabilityEquivalence
• Projet PHC AMADEUS (Computer Algebra for Functional Equations) with RICAM (Linz, Austria), porteur 2016-2017.
• Projet MIRES SATIN (SATellite based algebraic localization INitialization) - 2013
• Project MIRES MSDOS (Multidimensional Systems: Digression On Stability) - 2013
• Projet PHC PARROT CASCAC (Computer Algebra, Symbolic Computation, and Automatical Control) with the Control Systems Department
  of the Institute of Cybernetics of Tallinn University of Technology (Estonia) - 2013-2014
• Projet PHC PROCOPE CAST (Constructive Algebra for Systems Theory) with the Lehrstuhl B für Mathematik of RWTH Aachen University (Germany),
  porteur de projet - 2011-2012
• Projet PEPS SADDLES (Symbolic Algebra, Domain Decomposition, Linear Equations and Systems) - 2009-2011
• Projet ECONET Algorithmique des systèmes d'équations fonctionnelles et applications à l'intégrabilité des systèmes dynamiques - 2008-2009

Organization of conferences and seminars

    Software for the Symbolic Study of Functional Equations

• International Congress on Mathematical Sofware (ICMS) 2016: Session Software for the Symbolic Study of Functional Equations (11-14/07/2016, Berlin, Germany)

    Application of Computer Algebra - AADIOS

 

• ACA 2020-2021: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (ONLINE)
  
  
• ACA 2019: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (16-20/07/2019, Montréal, Canada)
   
• ACA 2018: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (18-22/06/2018, Santiago de Compostela, Spain)

• ACA 2016: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (01-04/08/2016, Kassel, Germany)
• ACA 2015: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (20-23/07/2015, Kalamata, Greece)

• ACA 2014: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (9-12/07/2014, New York, USA)
  (Special Issue of Advances in Applied Mathematics: CADDAIO)
• ACA 2013: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (2-6/07/2013, Malaga, Spain)
• ACA (Application of Computer Algebra) 2012: AADIOS (Algebraic and Algorithmic Aspects of Differential and Integral Operators Session) (25-28/06/2012, Sofia, Bulgaria)
  (Post-Proceedings in Springer Lecture Notes in Computer Science - LNCS-8372)

    Functional Equations in LIMoges (FELIM)

• FELIM 2022 Functional Equations in LIMoges (28-30/03/2022, Université de Limoges)
• FELIM 2020 Functional Equations in LIMoges (30/03-1/04/2020, Université de Limoges)
• FELIM 2019 Functional Equations in LIMoges (25-27/03/2019, Université de Limoges)
• FELIM 2018 Functional Equations in LIMoges (28-30/03/2018, Université de Limoges)

• FELIM 2017 Functional Equations in LIMoges (27-29/03/2017, Université de Limoges)
• FELIM 2016 Functional Equations in LIMoges (29-31/03/2016, Université de Limoges)
• FELIM 2015 Functional Equations in LIMoges (23-25/03/2015, Université de Limoges)

• FELIM 2014 Functional Equations in LIMoges (31/03 - 02/04/2014, Université de Limoges)

• FELIM 2013 Functional Equations in LIMoges (4-6/03/2013, Université de Limoges)

• FELIM 2012 Functional Equations in LIMoges: Analytic and algebraic approaches to integrability (5-7/03/2012, Université de Limoges)
• FELIM 2011 Functional Equations in LIMoges: Constructive Algebra for Systems Theory (14-16/03/2011, Université de Limoges)
• FELIM 2010 Functional Equations in LIMoges (8-9/03/2010, Université de Limoges)
• Calcul algébrique et équations différentielles (24-25/03/2009, Université de Limoges)
• Algorithmes pour les équations différentielles et aux différences (10-11/03/2008, Université de Limoges)

   Journées Nationales de Calcul Formel (JNCFs)

• Journées Nationales de Calcul Formel (JNCF) 2011 (14-18/11/2011, CIRM, Luminy)
• Journées Nationales de Calcul Formel (JNCF) 2010 (3-7/05/2010, CIRM, Luminy)
  
  
  

The web page of the computer algebra seminar 

• Séminaire Calcul Formel

PhD students

• Carole El Bacha (2008-2011, with M. A. Barkatou)
• Ali El Hajj (2017-2021, with M. A. Barkatou)
• Camille Pinto (Starting in October 2022, with A. Quadrat)

 

Other students I’ve worked with

·      Maya Chartouni (co-encadrement stage de Master 2, 2021, avec A. Quadrat)

·      Ronan David (Doctorant University of Poitiers – publications communes – projets ANR MSDOS, MIRES)

·      Alexandre Rigaud (Doctorant University of Poitiers – publications communes – projets MIRES)

·      Achref Jalouli (Doctorant University of Limoges – publication commune)

·      Abdelkarim Chakar (co-encadrement 2 années de doctorat University of Limoges, avec A. Quadrat – publication commune)