27-29 November 2019

Final workshop of ARCADES*in Vienna, in Austria.*

- fatma(point)yildirim(at)inria.fr
- +33 4 92 38 71 81
- INRIA Sophia Antipolis, 2004 route des Lucioles,
- 06902 Sophia Antipolis, France.
- Byron Y110

27-29 November 2019

Final workshop of ARCADESPhD candidate under the supervision of Laurent Busé, Early-Stage-Researcher in a Marie Skłodowska-Curie Innovative Training Network ARCADES in Aromath team, at Inria Sophia Antipolis Méditerranée in France.

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.

- Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces, with Nicolás Botbol, Laurent Busé and Marc Chardin, arXiv
- Implicitizing rational curves by the method of moving quadrics, with Laurent Busé, Clément Laroche, (Proceedings of SPM conference 2019), Computer-Aided Design, Volume 114, September 2019, Pages 101-111 HAL

The modules work in Jupyter notebook, using SageMath 8.6 Kernel.

11/07/2019

Invited speaker

Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces*at SIAM Conference on applied algebraic geometry in Bern, in Switzerland,*23/05/2019

Invited speaker

Orthogonal projection onto rational surfaces*at Structured Matrix Days 2019 in Limoges, in France,*07/02/2019

Implicit matrix representations via quadratic relations*at JNCF in Luminy, in France,*28/06/2018

Distance from a point to a parametric surface*at Curves and Surfaces in Arcachon, in France,*23/01/2018

Finite fibers of multi-graded rational maps on P^3*at JNCF in Luminy, in France,*3/11/2017

Invited speaker

- Finite fibers of multi-graded rational maps on P^3
*at Algebraic geometry seminars at Barcelona University in Spain.*

- Finite fibers of multi-graded rational maps on P^3

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.

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.

October 2016 - Present

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

2013 - 2015

Thesis subject : Zeros of Eisenstein series.

Projects : Visualization of modular forms of weight one, Catalan numbers.

September 2011 - January 2012

2009 - 2013

Thesis subject : Introduction to Gromov hyperbolic group.

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