Research Activities
	
	  My research activities concern the static analysis by
	  abstract interpretation of programs. 
In particular, I
	  am interested in the verification of hybrid systems written
	  in Matlab/Simulink and numerical properties such as
	  numerical precision.
	
	 During my PhD thesis, I defined a static analysis of
	  Simulink models
	  [7,5]. 
Simulink
	  offers a convenient way to model and to simulate embedded
	  systems that is embedded software and its physical
	  environment.  
Applying formal verification on Simulink
	  models allows to validate embedded software taking into
	  account a model of their execution environment.
	
	
	  During my ATER, I am working with
	  Laurent-Stéphane
	    Didier on the definition of a method to automatically
	  transform floating-point programs into fixed-point
	  equivalent ones. We focus our work on Simulink models.
	
	PhD students
	
	  
	  
	  
	  
          -  (2021-2024) I am co-supervising
	    with Goran Frehse
	     the PhD thesis
	    of Danil Berrah.
	  
 
          -  (2021-2024) I am co-supervising
	    with Olivier Doaré
	     the PhD thesis
	    of Caroline Pascal.
	  
 
          -  (2019-2022) I co-supervised
	    with Goran Frehse, Bruno Hérissé and Julien Alexandre dit Sandretto
	     the PhD thesis
	    of Etienne Bertin.
	  
 
	  -  (2016-2019) I co-supervised
	    with Sylvie
	      Boldo the PhD thesis
	    of Florian
	      Faissole.
	  
 
	  -  (2014-2017) I co-supervised
	    with
	    
	      Matthieu Martel the Phd thesis
	    of Nasrine
	      Damouche.
	  
 
	  -  (2012--2017) I co-supervised
	    with
	    Michel
	      Kieffer and
	    
	      Olivier Bouissou the PhD thesis of Adel Djaballah.
	  
 
	
	
	Publications
	List of my publications on HAL
	
	
	
	
	
	
	
	
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	
	
	
	
	
	
	
	
	
	
	
	
 	
	
	
	
	
	
	
	
	
	
	
	
	
 	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
 	
	
	  
 	  
 	  
	  
	  
	  
 	  
 	  
	  
	
	
	Projects and Collaborations
	
	  
	  
	  
	  
	  
	  - 
	    I visited Walid
	    Taha for 5 weeks in September 2009 at Rice
	    University. I implemented a pretty-printer for a new DSL
	    dedicated to cyber-physical systems
	    named Acumen. I
	    also worked on the exact real arithmetic with him and his
	    students.
	  
 
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  - 
	    I took part in the
	    first OCaml Summer
	      Project organized by
	    Jane Street
	      Captial.
	    
The goal of this project was the
	      developement of a mathematical library written in
	      OCaml
	      combining numerical and symbolic algorithms.
	      
This work was carried out
	      with Olivier
	      Bouissou.  The source code of the project can be
	      found on the
	      Sourceforge server.
	   
	
	
	Teaching Activities
	
My teachings in computer science are mostly made at
	  ENSTA Paris.
	  
 See the list of my courses
	
	
	DynIbex software
	I am involved in the development of
	the DynIbex
	library. It aims at solving ordinary differential equations
	with validated Runge-Kutta methods.
	
	
	
	
	
	
	
	Various
	
	
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	  
	
	
	
	
	
	
	
	
	
	
	For the community:
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	  Thanks
	    Hugo Gimbert
	    for this web page style.