Neşet Deniz Turgay

Dr. Neşet Deniz Turgay is an Assistant Professor in the Department of Mathematics at the Faculty of Arts and Sciences, Eastern Mediterranean University (EMU) in Northern Cyprus. He holds office AS147 and can be reached at +90 392 630 2412 or neset.turgay@emu.edu.tr.

His educational background includes:

• PhD in Mathematics from Swansea University (2010-2013)
• MS in Mathematics from Ege University, Izmir (2006-2009)
• BS in Mathematics from Ege University, Izmir (2001-2006)

Dr. Turgay's research spans two primary areas of mathematics: algebraic topology (particularly Steenrod algebra and Leibniz-Hopf algebra) and discrete geometry (focusing on distance metrics in various grid structures and patterns). His work in algebraic topology examines conjugation invariants, Adem relations, and structural properties of the Steenrod algebra. In discrete geometry, he investigates distance calculations in crystallographic structures including face-centered cubic grids, Cairo patterns, and body-centered cubic lattices, often applying operational research techniques to solve optimization problems. His publications demonstrate sophisticated mathematical modeling and computational approaches to solve complex geometric and topological problems.

His recent publications show a clear trend toward applying mathematical techniques to crystallographic and pattern recognition problems, while maintaining a strong foundation in algebraic topology. The research demonstrates sophisticated mathematical modeling and computational approaches to solve complex geometric and topological problems, with publications spanning from 2013 to 2023 showing consistent scholarly productivity.

Scientific awards and recognitions:

• Socrates Erasmus scholarship for research at the University of Aberdeen (2008)

Dr. Turgay has secured research funding for several projects, including "Clifford Analysis Knowledge Exchange (CAKE)" funded by Eastern Mediterranean University (35,000 TL grant, 2023) and "Some calculations in the Steenrod algebra" supported by Ege University (2008-2009). His research demonstrates both theoretical depth in algebraic topology and practical applications in discrete geometry and pattern recognition, with numerous collaborations with researchers including Gergely Kovács, Benedek Nagy, and Bela Vizvári.