My research lies at the intersection of finite element analysis, differential and computational geometry, and computer science. The areas of my interest are computational fluid dynamics, multi-physics modeling, solid modeling and interoperability.
I obtained my Ph.D. and M.Sc. in Mathematics from the University of Pittsburgh. My area of expertise is numerical analysis and scientific computing. I have taken my comprehensive exams in finite element analysis, partial differential equations and differential geometry. My M.Sc. thesis concerned the construction of a finite element method for the Stokes problem on rectangular meshes, and my Ph.D. dissertation concerned the construction of finite element methods for the Stokes and Navier-Stokes problems on cubical (with an extension to n-dimensions) and quadrilateral meshes.
My postdoctoral studies at the International Computer Science Institute at the UC Berkeley, concerned building a theoretical and an algorithmic framework for the interoperability between CAD systems based on the interchangeability of their models, and providing mathematical reviews for some of the existing geometry validation tools and techniques.
I have obtained my B.Sc. in mathematical engineering from Istanbul Technical University. I have specialized in mathematical physics and computer science in the last two years of my undergraduate studies. My graduation project was based on genetic algorithms. I have studied mathematical sciences for an academic year at Durham University, UK.
I have also completed M.Sc. in Electronics & Communication Engineering with a focus on the electromagnetic theory at Istanbul Technical University. My thesis was based on detecting cancerous breast cells from MRI images.
I am an amateur writer and an amateur artist.
Art is never finished, only abandoned.Leonardo Da Vinci
The art of doing mathematics consists in finding that special case which contains all the germs of generality.David Hilbert
There is geometry in the humming of the strings, there is music in the spacing of the spheres.Pythagoras