Koç University, Mathematics Seminar

Date & Time: Thursday, November 5, 15:00-16:00

Place: ENG B-16

Speaker: Oktay Ölmez (Ankara University)

Title: Combinatorial designs with prescribed automorphism group

Abstract: In recent years, combinatorial designs have garnered a lot of attention. People are drawn not only to the rich mathematical heritage of combinatorial design theory but also to the genuine solutions they provide to problems coming from real life applications. Combinatorial designs with prescribed automorphisms are of interest since these combinatorial designs provide the elegant solutions desired for applications. In this talk, we will discuss about a certain family of combinatorial designs known as partial geometric designs. We will focus on a method for constructing partial geometric designs with specified automorphisms and provide some examples.

Speaker’s Brief Biography: I am currently working as a faculty member in the Department of Mathematics at the Ankara University. I was a postdoctoral fellow from 2012 to 2013 in the Department of Mathematics under the direction of Dr. Sung Song and Department of Electrical and Computer Engineering under the direction of Dr. Aditya Ramamoorthy at the Iowa State University. I received my PhD in Mathematics in 2012 at the Iowa State University under the supervision of Dr. Sung Song. I received my MSc degree in Mathematics in 2006 at the Ankara University under the supervision of Dr. Yusuf Yaylı. My research interest mainly focuses on developing theoretic tools to construct combinatorial structures and investigating their properties. To be more specific I worked on projects including regenerating codes for distributed storage systems, highly regular graphs arising from finite geometries, highly nonlinear Boolean functions and construction of combinatorial block designs via difference sets.