Fatmanur Yıldırım

Fatmanur Yıldırım

PhD in mathematics

Upcoming Activities

Personal Profile

I defended my PhD thesis in mathematics on 3 Feb 2020 which was supervised by Laurent Busé in Aromath team in INRIA Sophia Antipolis where I completed as an early-stage-researcher of Marie Skłodowska-Curie Innovative Training Network ARCADES.


My research interests focus on the study of fibers of (multi-graded)rational maps, geometry of curves and surfaces with their applications in geometric modelling, CAD and CAGD, such as distance problem, implicitization and also implementation of possible methods.



  • October 2019 - September 2020

    ATER position (temporary lecturer and researcher) in Laboratoire J.A. Dieudonné at Université Côte d'Azur in France


Semester 2 in 2020 at Université Côte d'Azur

  • TD (exercices sessions) de Fondements mathématiques 2 (L1 en maths),
  • Soutien algèbre (L1 en maths),
  • TD (exercices sessions) de Méthodes mathématiques approche discrète (L1).

  • Ipython modules for SageMath computations


    Scientific and Industrial Research Visits

    Barcelona University, Barcelona/ Spain,

    September 2017 - December 2017

    Under supervision of Carlos d'Andrea.
    I worked on height computation of some matrices built from certain syzygies that appear in our work.

    Missler Software, Toulouse/ France.

    May 2018 - July 2018

    Algebraic methods for distance problem between circle-line and arc of a circle-a segment of a line in space are treated. The methodes are implemented in C# and integrated to the CAD software TopSolid.


    PhD in mathematics, Université Côte d'Azur, Inria Sophia Antipolis Méditerranée/ France

    October 2016 - February 2020

    in Marie Skłodowska-Curie Innovative Training Network ARCADES in Aromath team,
    under supervision of Laurent Busé.
    Thesis subject : Finite fibers of rational maps by means of matrix representations with applications to distance problem.

    Java, Database & Android Programming, Wissen Akademie, Istanbul/ Turkey

    January 2016 - July 2016

    Master in general mathematics, Luxembourg University/ Luxembourg

    2013 - 2015

    Thesis subject : Zeros of Eisenstein series.
    Projects : Visualization of modular forms of weight one, Catalan numbers.

    Erasmus student in mathematics, Science Technology University of Lille 1/ France

    September 2011 - January 2012

    Bachelor in mathematics, Galatasaray University, Istanbul/ Turkey

    2009 - 2013

    Thesis subject : Introduction to Gromov hyperbolic group.

    French language preparation class, Galatasaray University, Istanbul/ Turkey

    2008 - 2009


      French (fluent),
      English (fluent),
      Turkish (native).


      C#, Java, Python,
      SageMath, Macaulay2, Maple,
      Mysql, Sqlite,
      HTML5, Latex, Beamer, Android programming (And 401, ID : ATC1001343).


      • 3-year Early-stage-researcher fellowship by Marie Skłodowska-Curie Innovative Training Network,
      • 2-year scholarship for master degree studies by Ministry of Culture of Luxembourg,
      • 1-semester scholarship for Erasmus program.


      tennis, hiking, playing violin