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Supervision & teaching

PhD thesis

  • Pablo Gonzáles-Mazón (2020). Effective methods for multilinear birational transformations and contributions to polynomial data analysis (MSCA ITN Grapes).

  • Mehran Hatamzadeh (2020) - co-supervision with R. Zory. An innovative gait analysis technology (COFUND UCA).

  • Tong Zhao (2019-2023) - co-supervision with Pierre Alliez. Learning priors and metrics for 3D reconstruction of large-scale scenes (3IA, the thesis is here).

  • Fatmanur Yildirim (2016-2020). Fibers of rational maps by means of matrix representations with application to distance problem (MSCA ITN Arcades, the thesis is here).

  • Thang Luu Ba (2008-2011), co-supervision with André Galligo. Représentation matricielle implicite de courbes et surfaces algébriques et applications (the thesis is here).

  • Marc Dohm (2005-2008), co-supervision with A. Galligo. Implicitization of rational algebraic surfaces with syzygy-based methods (the thesis is here).


  • Navid Nemati (2020-2021). Multi-projective polynomial systems.

  • Xiao Xiao (2019-2021). NURBSFIX: Repairing the topology of a NURBS model in view of its approximation. In collaboration with Pierre Alliez and the industrial partner GeometryFactory.

  • Nicolás Botbol (2011-2012). Matrix-based representations of rational hypersurfaces.

Teaching (master-level courses)

  • Computational algebraic geometry:

    • 2020-2022: one-semester course in 2nd year of master of mathematics MPA at the Université Côte d’Azur, Nice, « Computational Algebraic Geometry » (30 hours/year). Notes and webpage of the course.
    • 2013-2015: one-semester course in 2nd year of Master of Mathematics at the University of Nice Sophia Antipolis, "Elimation matrices with applications in geometric modeling" (30 hours/year).
    • 2012: course at the Master MDFI (2nd year) at the University of Luminy, Marseille, on the topic « Théorie matricielle de l'élimination » (10 hours).
    • 2004-2007: one-semester course in Master 2nd year of Mathematics at the University of Nice Sophia Antipolis on the topic « Algebraic curves and surfaces and modeling », (30 hours/year).
  • Geometric modeling:

    • 2016- present: one-semester course at the engineer school of the University of Nice Sophia-Antipolis, at the level of second year of Master (MAM5) on the topic « Geometric Modeling » (18 hours/year).
    • 2010-2016: one-semester course at the engineer school of the University of Nice Sophia-Antipolis, at the level of first year of Master (MAM4) on the topic « Differential geometry of curves and surfaces » (60 hours/year).

Lectures at international workshops and schools

  • 2019: course of 6h at the CIMPA school Syzygies, from theory to applications, Universidade Federal da Paraíba, João Pessoa, Brazil, November 4-13, 2019, Syzygies of rational maps with applications to geometric modeling.

  • 2019: course of 6 hours at TIME 2019, Curves and Surfaces, A History of Shapes, Levico Terme, Italy, September 2-6, 2019, Implicit representations of rational curves and surfaces.

  • 2019: course of 2 hours at the 27th national school on algebra, Bucharest, Romania, May 19-25 2019, Freeness of rational plane curves.

  • 2014: master course of 12 hours at the university of Buenos Aires, Argentina, as invited full professor, November 2014, Elimination matrices and applications.

  • 2013: course of 2 hours at the workshop on Grobner bases, Resultants and Linear Algebra, RISC, Hagenberg, Austria, September 3-6, Linearization of Polynomial Systems via Fitting Ideals.

  • 2012: course of 2 hours at the EJCIM (Ecole Jeunes Chercheurs en Informatique et Mathématique), Rennes, March 19-23, Computer algebra methods for geometric modeling.

  • 2011: course of 12 hours given at the CIMPA-UNESCO-MICINN-INDONESIA research school in Yogyakarta, Indonesia, July 18-29, Elimination Matrices for Computer Aided Geometric Design.

  • 2009: course of 8 hours at the Summer School on Computational Mathematics on algebraic curves and surfaces in CAGD, SORIA, Spain 13-24 July.

  • 2008: course of 3 hours at the Journées Nationales de Calcul Formel, CIRM, Luminy, October 20-24 on Résultants : des matrices pour l'élimination.

  • 2005: course of 3 hours given at the CIMPA-UNESCO-IRAN school in Zanjan, Iran, July 9-22, Elimination theory in codimension one and applications.