Fatmanur Yıldırım

Fatmanur Yıldırım

PhD in mathematics, ATER at Laboratoire J.A. Dieudonné/UCA

Upcoming Activities

Personal Profile

I recently defended (03/02/2020) my PhD thesis supervised by Laurent Busé that I have completed in a Marie Skłodowska-Curie Innovative Training Network ARCADES. Since October 2019 I have a 1-year ATER position (temporary lecturer and researcher) in Laboratoire J.A. Dieudonné, Nice Sophia Antipolis University in France.

Interest

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 the implementations of possible methods.

Publications

Ipython modules for SageMath computations

Teaching

Semester 2 in 2020 at Nice Sophia Antipolis University

  • Exercice sessions of Fondements mathématiques 2 (L1 in maths),
  • Exercice sessions of Méthodes mathématiques approche discrète (L1 in maths).

  • Presentations

    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.

    Education

    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

    Languages

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

    Skills

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

    Scholarships

      • 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.

    Hobbies

      tennis, hiking, playing violin