Geometry helps us understand the architecture of the Earth locally and the Cosmos globally, where order and chaos are interconnected, designed by the Creator as a guide for us. E.G.
I completed my Ph.D. in Mathematics at Ankara University, under the supervision of Hasan Hilmi Hacısalihoğlu and Yusuf Yaylı .
My research focuses on differential geometry, with particular emphasis on the study of Weierstrass-Enneper representations, the Laplace-Beltrami operator, and the Cheng-Yau operator for helicoidal, rotational, minimal, maximal, and non-orientable surfaces and hypersurfaces in space forms. I also investigate their curvatures, derive parametric (explicit) and algebraic (implicit) equations for these surfaces and hypersurfaces, and transform them into 3D visualizations.
Some of my colleagues with whom I have collaborated on various papers include Bang-Yen Chen, Hasan Hilmi Hacısalihoğlu, Yusuf Yaylı, Yanlin Li, Young-Ho Kim, Martin Magid, Magdalena Toda, George Kaimakamis, Christos Konaxis, Gang Xu, Bülent Karakaş, Aysel Turgut Vanlı, Nurettin Cenk Turgay, Ömer Kişi, Masashi Yasumoto, and Bendehiba Senoussi.
Ph.D. in Mathematics, Ankara University, 2010. Thesis: Time-like Helicoidal and Rotational Surfaces with Light-like Profile Curve in Three-Dimensional Minkowski Space
Master's in Mathematics, Gazi University, 2005. Thesis: Helicoidal Surfaces in Three-Dimensional Minkowski Space
Bachelor's in Mathematics, Ondokuz Mayıs University, 1997.
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