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Sara Khichane

Since November 2025, I am doing a PhD thesis entitled "Fast algorithms for structured algebraic relations" under the supervision of Vincent Neiger.

Research

My areas of interest include problems involving structured matrices, polynomial matrices such as linear systems and modular approximation problems. The definition of structure here is generalized to include all matrices, by measuring to what extent they exhibit a certain structure.

Papers/Preprints

  • Matrices with displacement structure: a deterministic approach for linear systems and nullspace bases [2026] arXiv

Talks

Reports

  • Master 2 MPRI Internship Report [2025] PDF
  • Master 1 MPRI Internship Report [2024] PDF

Teaching

  • Fondement de l'Algorithmique Algébrique – Sorbonne Université – Master 1 CCA [2026]
  • Moodle Program
  • Représentation et méthodes numériques – Sorbonne Université – Licence 3 [2026]
  • Moodle Program