Fatmanur Yıldırım

Fatmanur Yıldırım

PhD candidate

Upcoming Activities


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.


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 candidate, Université Côte d'Azur, Inria Sophia Antipolis Méditerranée/ France

October 2016 - Present

Subject : Distances between points, rational Bézier curves & surfaces by means of matrix-based implicit representations.

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),
    Luxembourguish (intermediate),
    Turkish (native).


    C#, Java, Python,
    SageMath, Macaulay2, Maple,
    Mysql, Sqlite,
    HTML5, Latex, Beamer, Android programming.


    • 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