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 FranceSemester 2 in 2020 at Université Côte d'Azur
The modules work in Jupyter notebook, using SageMath 8.6 Kernel.
14/05/2020
Invited speaker
Implicitization of curves (Eğrilerin dolaylı temsili) online seminar (in Turkish),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
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 - 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.
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),
Turkish (native).
C#, Java, Python,
SageMath, Macaulay2, Maple,
Mysql, Sqlite,
HTML5, Latex, Beamer, Android programming (And 401, ID : ATC1001343).
tennis, hiking, playing violin