Axel Pavillet

Axel Pavillet is a graduate of Ecole Polytechnique in Paris and has a M. Eng in industrial engineering from Ecole Nationale Supérieure des Techniques Avancées. He spent most of his career as a professional engineer and a high level executive for the French Government. He worked in France, the United States, Argentina, Canada and Singapore. In 2000, he went back to academia to earn a M.Sc. in Computer Science and a Ph.D. in Mathematics from Université du Québec à Montréal in 2001 and 2004, respectively. Since then, he dedicates his time to teaching and research. He is a licensed P. Eng. registered with the Association of Professional Engineers and Geoscientists of Alberta. He has published numerous articles in the scientific and technological fields. He is knight of the National Order of Merit from France and was awarded the Meritorious Service Medal from the United States. email: axel.pavillet@polytechnique.org

Mathematical Publications

• Coaxal pencil of circles and spheres in the Pavillet tetrahedron (2016)
  17th International Conference on Geometry and Graphics - ICGG 2016

• The incircle hyperboloid and ellipsoid of the conjugate Pavillet tetrahedra (2014)
  16th International Conference on Geometry and Graphics - ICGG 2014

• Elementary proof of Pavillet tetrahedron properties (with Vladimir V. Shelomovskii - 2012), 
  The Electronic Journal of Mathematics and Technology   (October 2012 - on line version)
  Research Journal of Mathematics & Technology  (December 2012 - paper version)

• The Orthocentric Tetrahedron of a Triangle (2012), accepted Forum Geometricorum

• The Orthocentric Tetrahedron of a Triangle - New Properties and Inverse Problem (2012),
  (Extended abstract) - (article)
  15th International Conference on Geometry and Graphics - ICGG 2012 

• A family of circular sweep algorithms to compute Voronoï diagrams for weighted points or circles (2004), Ph.D. Dissertation - UQAM

• Replacing De(ad)scriptive Geometry (2004), The Inaugural CDEN Design Conference

• Voronoï diagrams in projective geometry and sweep circle algorithm for constructing circle-based Voronoï diagrams (2001), 13th Canadian Conference on Computational Geometry - CCCG'01

Professional Publications

• Un diplôme pour la gloire? [A worthless degree?] (2005), La Jaune et la Rouge 

• Les chances du Network Computer [Opportunities of the NC] (1997), L'Informatique Professionnelle

• Des autoroutes à sens unique dans le "global village"? [One-way I-ways in the global village?] (1996), Annales des Mines

• La messagerie, un outil pour l'assimilation de la technologie [Email, a tool to assimilate technology] (1996), L'Informatique Professionnelle

• Les architectures à base de micro-ordinateurs [The IS architectures based on PCs] (1995), L'Informatique Professionnelle

• Outsourcing, a view from the French Ministry of Industry (1993), Proceedings of the XXVIIth ICA Conference 

• Le logiciel est-il trop cher? [Is software too expensive?] (1992), L'Informatique Professionnelle

• Logiciels micro: pirates ou corsaires? [PC software : pirates or corsairs?] (1991), L'Informatique Professionnelle

• Logiciel : rien ne vaut la version originale [Software : nothing is better than the original version] (1990), L'Informatique Professionnelle

• Les circuits intégrés pour la Défense américaine et la défense des circuits intégrés américains (1987), L'Armement

• Published in English: Integrated circuits for US Defense and the defense of US integrated circuits (1988), Military Technology

• Published in Italian: Circuiti integrati USA per la difesa e loro protezione (1988), Rivista Italiana Difesa

• La politique américaine en matière de transfert de technologie [The US policy in the field of technology transfert] (1987), L'Armement

Technical Reports

• Optimisation de la programmation des essais sur un champ de tir [Optimization of testings scheduling on a proving ground - linear programming] (avec VincentThery - 1982), CEDOCAR

• Calcul et tracé de projections par ordinateur et machine à tracer [Calculation and drawing of projections by computer and plotter - solid geometry] (1977), CEDOCAR