3 February 2020

PhD defense

14h00 at room Euler violet at INRIA Sophia Antipolis.- 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

3 February 2020

PhD defense

14h00 at room Euler violet at INRIA Sophia Antipolis.PhD candidate under the supervision of Laurent Busé (in a Marie Skłodowska-Curie Innovative Training Network ARCADES ) in Aromath team, at Inria Sophia Antipolis Méditerranée, since October 2019 ATER (temporary lecturer and researcher) in Laboratoire J.A. Dieudonné, Nice Sophia Antipolis University 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.

Semester 2 in 2020 at Nice Sophia Antipolis University

10/01/2020

Invited speaker

Fibers of multi-graded rational maps onto three dimensional projective space*at Algebraic Geometry Genova-Nice-Torino at LJAD, in France,*27/11/2019

Implicit matrix representations*at Final Open Workshop of ARCADES at TU Wien, in Austria,*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

in Marie Skłodowska-Curie Innovative Training Network ARCADES in Aromath team.

Thesis subject : Finite fibers of rational maps by means of matrix representations with applications to distance problem.

January 2016 - July 2016

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 (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