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 2020ATER position (temporary lecturer and researcher) in Laboratoire J.A. Dieudonné at Université Côte d'Azur in France
Semester 2 in 2020 at Université Côte d'Azur
The modules work in Jupyter notebook, using SageMath 8.6 Kernel.
Invited speakerImplicitization of curves (Eğrilerin dolaylı temsili) online seminar (in Turkish),
Invited speakerFibers of multi-graded rational maps onto three dimensional projective space at Algebraic Geometry Genova-Nice-Torino at LJAD, in France,
27/11/2019Implicit matrix representations at Final Open Workshop of ARCADES at TU Wien, in Austria,
Invited speakerFibers of multi-graded rational maps and orthogonal projection onto rational surfaces at SIAM Conference on applied algebraic geometry in Bern, in Switzerland,
Invited speakerOrthogonal projection onto rational surfaces at Structured Matrix Days 2019 in Limoges, in France,
07/02/2019Implicit matrix representations via quadratic relations at JNCF in Luminy, in France,
28/06/2018Distance from a point to a parametric surface at Curves and Surfaces in Arcachon, in France,
23/01/2018Finite fibers of multi-graded rational maps on P^3 at JNCF in Luminy, in France,
September 2017 - December 2017
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
C#, Java, Python,
SageMath, Macaulay2, Maple,
HTML5, Latex, Beamer, Android programming (And 401, ID : ATC1001343).
tennis, hiking, playing violin