Bernard Mourrain

Courses

• Computational Algebra and Real Geometry. Master 2, Mathematics, University of Nice Sophia-Antipolis. 2014, 2015.
• Sparse modelling, tensor decomposition, algorithms and applications. Summer School on An Interdisciplinary Approach to Tensor Decomposition, Trento Italy. July 2014. Notes.
• Effective Algebraic Geometry and Applications. Central European University, Budapest. April 2014.
• An algebraic-geometric view on tensor decomposition problems. Universidad Complutense de Madrid, Spain. Mai 2012.
• CIMPA School  "Non-linear Computational Geometry". Co-organisation with Sri Wahyuni, UGM, Yogyakarta, Indonesia, July 2011.
• Computational Algebra and Real Geometry. Master 2, Mathematics, University of Nice Sophia-Antipolis. 2011.
• Algorithmique pour les courbes et surfaces. Master 2, Mathematics, University of Nice Sophia-Antipolis. 2006-2008.
• Calcul Formel, Master 2 MDFI, Luminy, University of Marseille. 1996, 1998, 2000, 2006, 2008, 2011.
• Curves and Surfaces, DEA d’algorithmique X-ENS, Paris. 1996-2003.
• Méthodes effectives en géométrie algébrique. DEA, Mathematics, University of Nice Sophia-Antipolis. 1994-1999 .
• Complexité et Algorithmique. Maîtrise de Mathématiques et Informatique, University of Nice Sophia-Antipolis. 1996-2002
• Cours d'initiation au calcul formel, B. Mourrain & Y. Papegay.1993.  

Selected talks

• Tensor Decomposition, Sparse Representations and Applications,  Workshop "Tensors in Computer Science and Geometry", Simons Institute, Berkeley, USA. Nov. 10 – Nov. 14, 2014.  
• Sparse modeling and applications, EACA, Barcelona, Spain, 18-20 June, 2014.
• Spline spaces on topological complexes, Geometric Modeling, Dagsthul, 20-25 May, 2014.
•  Can moment relaxation methods solve (efficiently) polynomial optimization problems? Real Algebraic Geometry With A View Toward Systems Control and Free Positivity, Obervolfach, 6-12 April 2014.
  
• Sparse reconstruction from moments. Inverse Moment Problems: the Crossroads of Analysis, Algebra, Discrete Geometry and Combinatorics. IMS, Singapore, 18 November 2013 - 25 January 2014.
• Spline spaces on planar and volume subdivisions. Workshop Algebraic Geometry and Geometric Modeling. Banff, January 2013.
• Regularity Criteria for the Topology of Algebraic Curves and Surfaces. Mathematics of Surfaces. 2007.
• Symbolic-numeric methods for solving polynomial equations and applications (with Mohamed Elkadi).Tutorial. 2004.
• Solving polynomial equations in Geometric problems. Paris Nov., Athenes Dec., 2004. Video. 
• Resultants, Algebraic Geometry and Geometric Modeling, Vilnius, July 2002. 
• Topology of implicit curves and surfaces, Sophia Antipolis, ECG, Oct. 2002. 
• Solving polynomial equations, ECG Workshop, Leiden, 01-05 Oct. 2001. 

Conferences (Progam Committee or organisation)

• MEGA, program committee, Trento (Italy),  15-19 June 2015.
  
• SNC (Symbolic-Numeric Computation), program committee, Shanghai (China), 28-31 July 2014
• Minisymposium Algebraic Geometry, Moment Problems and Applications at SIAM Conference on Applied Algebraic Geometry in Fort Collins, Colorado (USA), 1st-4th August 2013.
• MEGA , program chair, Frankfurt (Germany), 3-7th June 2013.
• SNC (Symbolic-Numeric Computation), program committee, San Jose (USA), 
• MEGA in Stockholm (Sweden),  30 May-2June 2011.
• GMP (Geometric Modeling and Processing), program chair, Castro Urdiales (Spain), 16-18 June 2010.
• Shapes, algebra, geometry and algorithm (SAGA) winter school. Co-organized with Laurent Busé and Angelos Mantzaflaris. Auron, France, March 15-19, 2010.
• SNC (Symbolic-Numeric Computation), program committee, Kyoto (Japan), 3-5 August 2009.
• ISSAC, program chair, Waterloo (Canada), 29 July-1 August, 2007.
• SNC (Symbolic-Numeric Computation), program committee, London (Canada), 25-27 July 2007.
• Algebraic Geometry and Geometric Modeling’06. Co-organized with Laurent Busé, Carlos D’Andrea, Ron Goldman, Laureano Gonzalez-Vega and Martin Sombra. University of Barcelona September 4-7, 2006.
• Computational Algebraic Geometry and Applications, on the occasion of the 60th birthday of André Galligo. Co-organized with Laurent Busé and Mohamed Elkadi. University of Nice, June 2-6, 2006.
  
• SNC (Symbolic-Numeric Computation), program committee, Xi'an (China), 19-21 July 2005.  
• Journées Nationales de Calcul Formel,  coorganized with J.A. Weil, Luminy, Octobre 1998. 
• SNAP (Symbolic Numeric Algebra for Polynomials), coorganized with Victor Pan and Ioannis Emiris, Sophia Antipolis (France), 1996. 
• Algebraic and Analytic theory of residues and its applications, coorganised with Marc Chardin and Mohamed Elkadi. IHP, Paris, 1995.