Address: Inria Sophia-Antipolis, 2004 Route des Lucioles, 06902 Valbonne, France

Research Interests:

  • Birational transformations
  • Syzygies and the geometry of rational maps
  • Computer-Aided Geometric Design
  • Commutative Algebra
  • Algebraic Geometry
  • Computer Algebra

Work and Education:

Research Articles:

Presentations at Conferences and Seminars:

Attendance to Conferences:

  • (2021, 19 July – 23 July) Virtual ISSAC 2021
  • (2021, 29 June – 1 July) Rencontre autour des Syzygies Jacobiennes
  • (2021, 6 May) I gave the talk “Criterios efectivos y clasificación de transformaciones bilineales trilineales birracionales” at EACA Tapas Seminar on Computer Algebra
  • (2021, 1-5 March) Journées Nationales de Calcul Formel
  • (2021, 1-8 Feb) GRAPES’ Doctoral School I, Midterm meeting
  • (2021) AROMATH Seminars. Last 13th of January, I gave the talk “Center sets and the Carathéodory number of real algebraic varieties”
  • (2020) INRIA’s Ph.D. Seminars at INRIA Sophia-Antipolis
  • (2020, 21-15 Sep) Virtual Heidelberg Laureate Forum 2020
  • (2020, 25-28 Feb) 5th EACA International School on “Computer algebra and its applications”. At the school, I gave the talk “Constructive partitioning polynomials and applications”

Research Project: Generation of valid high-order curved meshes
Advisor: Laurent Busé
Institution: tadalafil tabs 10mg, France

Curvilinear meshes offer more flexibility and better accuracy compared to (more common) simplicial meshes. Their generation is an active area of research: it requires to conform curved elements to a given boundary geometry, enforce a smooth and non-degenerate Jacobian everywhere, and keep the mesh as coarse as possible. Several attempts exist to accommodate these three properties. Building on a new variational approach, called Curved Optimal Delaunay Triangulation (CODT), that has been recently introduced to generate such meshes, the main objective of this project will be to develop new methods in order to generate a valid high-order curved meshes made of Bézier triangles. For that purpose, algebraic and subdivision techniques will be investigated for the detection of self-intersection and surface/surface intersection loci, for the preservation of sharp features and for controlling regularity.

Expected Results: a reliable and robust algorithm to detect intersection and self-intersection of low degree Bézier triangles, and an improved CODT method preserving the topology and sharp features of the input data.

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Secondments are planned at Universitat de Barcelona (Barcelona, Spain), and at industrial partner RISC-SW (Linz, Austria).

Other Publications:

  • (2019) I have translated into Spanish the vignette “Goodstein Sequences: The Power of a Detour via Infinity” from the Blog of the Klein Project
  • (2018) I have been published the solution to the “Problem 327” proposed at La Gaceta de la Real Sociedad Matemática Española, vol. 21, n.2, pp. 341-342, 2018

Social Engagement: