• Mohammed, R. A., & Amen, R. S. (2019). Soft ξ-open sets in soft topological spaces. Science Journal of University of Zakho, 7(3), 108–119.

My research interests lie in the areas of General Topology and Soft Topology, with particular emphasis on the study of soft topological structures and their theoretical foundations. This work centers on soft open and closed sets, soft separation axioms, soft continuity, compactness, connectedness, and related topological properties. I am particularly interested in investigating the relationships between classical topological concepts and their extensions in soft topological spaces, as well as developing new approaches and characterizations within the framework of soft set theory. Ultimately, my research aims to contribute to the advancement of topological theory and its applications in the analysis of uncertainty and parameterized mathematical systems.

Since 2020, I have served as a lecturer in the Department of Mathematics, College of Basic Education, University of Duhok. During this period, I have taught a range of undergraduate mathematics courses, including Foundations of Mathematics, Calculus, and General Topology. My teaching approach emphasizes conceptual understanding, logical reasoning, and problem-solving skills while fostering an engaging and student-centered learning environment.

Through classroom instruction, academic advising, and continuous assessment, I support students in developing strong mathematical foundations and the confidence to tackle complex problems. I also incorporate modern teaching strategies and encourage active participation to enhance students’ academic achievement and interest in mathematics.

Since 2021, I have supervised undergraduate research projects in the Department of Mathematics, College of Basic Education, University of Duhok. My supervision focuses on Soft Topology, particularly the study of types of soft open sets and soft separation axioms. I guide students in developing research methodologies, understanding advanced theoretical concepts, and applying topological methods to mathematical problems, while fostering their analytical, research, and critical thinking skills.

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