My research interests lie at the intersection of Statistics and Ordinary Differential Equations (ODEs), two foundational areas of mathematical science that together provide powerful tools for understanding complex systems. Statistics offers rigorous methods for analyzing uncertainty, extracting structure from noisy data, and guiding data-driven decision making. ODEs, in contrast, describe deterministic dynamic processes and model how systems evolve over time according to underlying physical or biological laws.

The combination of these fields is increasingly essential in modern applied mathematics. Many real-world systems—such as biological growth, chemical reactions, or population dynamics—are naturally modeled through ODEs, yet the data available to calibrate these models are often incomplete or uncertain. This motivates statistical methods for estimating ODE parameters, assessing model fit, and quantifying uncertainty in predictions. Areas such as nonlinear regression for dynamical systems, Bayesian inference for ODE models, and filtering techniques for partially observed processes highlight this connection.

My interest centers on how statistical reasoning can enhance the analysis of differential equation models, enabling more accurate, reliable, and interpretable descriptions of dynamic phenomena. By exploring the interplay between randomness and deterministic structure, I aim to contribute to mathematical approaches that more faithfully represent real systems and support deeper scientific insight.

Since 2011 to present , I have worked as a lecturer at the Mathematics Department, College of Basic Education, University of Duhok. During this period, I have taught a range of undergraduate courses, including Real Analysis and Mathematical Analysis for third-year students, Functional Analysis for fourth-year students, Linear Algebra for second-year students, and Scientific Debate for first-year students. I have also taught Mathematics and English to third- and fourth-year Kindergarten students, contributing to their pedagogical preparation.

My primary academic interests in Real and Mathematical Analysis, Statistics, Ordinary differential equations and Functional analysis. Through sustained teaching and engagement with these fields, I aim to foster rigorous analytical thinking and support students’ academic and professional development.

​The sustained service as a Mathematics Lecturer at the University of Duhok highlights a dedicated effort to maintain high academic standards. By specializing in complex and vital areas like Analysis, ODEs, and Statistics, the lecturer aims to not only transfer knowledge but also cultivate a culture of intellectual inquiry and rigorous analytical thinking that supports students' long-term academic and professional success.

Supervision of graduation projects is a central element of higher education, especially in Mathematics. Since 2014, the Mathematics Department at the College of Basic Education, University of Duhok, has built substantial experience supervising fourth-year students across a range of mathematical topics.

This long-term practice has strengthened students’ subject mastery and research skills, preparing them for postgraduate study and professional careers. It reflects the University’s commitment to fostering a research-oriented culture and developing graduates capable of contributing to mathematical scholarship.

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