Profile for

Mehmet Celik, Ph.D.

• Faculty

Professor of Mathematics Department of Mathematics

Mehmet Celik, Ph.D., is Professor of Mathematics at East Texas A&M University. His research focuses on complex analysis, especially one and several complex variables, with related work in operator theory and partial differential equations. He studies compactness and regularity questions for the d-bar Neumann problem and related operators, including Hankel, Toeplitz, and Hilbert-Schmidt operators. He is also committed to teaching and mentoring students and to helping them develop mathematical intuition, confidence, and problem-solving skills.

A Conversation with Dr. Celik

The conversation begins by exploring the passion and motivations that draw Dr. Celik to his specific discipline.

What draws you to your discipline?

I am drawn to complex analysis because it blends elegant theory, geometry, and powerful analytical tools. It allows me to work creatively while connecting to other areas of mathematics, including operator theory and partial differential equations. That breadth makes it rewarding both as a researcher and as a teacher.

Tell us about a project you are working on or have completed.

Recent work has included research on area differences under analytic maps and operators, as well as collaborative work on geometric questions involving Blaschke products. I enjoy projects that connect analysis, geometry, and operator theory, and I especially value opportunities to mentor students in research when the project is a good fit.

What would you tell a student who is thinking about attending East Texas A&M?

Mathematics rewards steady effort. Manage your time, stay organized, ask questions, and do something every day, even if it is small. At East Texas A&M, we care about students as individuals, and we want to help them grow both academically and personally.

Educational Background

• Ph.D., Mathematics, Texas A&M University, 2008

Academic Positions

• Professor of Mathematics, East Texas A&M University, 2024-Present
• Associate Professor of Mathematics, Texas A&M University-Commerce, 2018-2024
• Assistant Professor of Mathematics, Texas A&M University-Commerce, 2015-2018
• Assistant Professor of Mathematics, University of North Texas at Dallas, 2010-2015
• Assistant Professor of Mathematics, University of Arkansas-Fort Smith, 2008-2010
• Assistant Research Scientist, Texas A&M University, 2008

Awards and Honors

• Paul W. Barrus Distinguished Faculty Award for Teaching, East Texas A&M University, 2023
• Texas Section of the Mathematical Association of America Distinguished College or University Teaching of Mathematics Award, 2022
• Liberal Arts and Sciences Faculty Teaching Award, University of North Texas at Dallas, 2012

Research Interests

• Complex analysis in one and several complex variables
• Operator theory
• Partial differential equations
• Compactness and regularity of the d-bar Neumann problem
• Hankel, Toeplitz, and Hilbert-Schmidt operators

Featured Courses

• MATH 2414 Calculus II
• MATH 436 Introduction to Real Analysis
• MATH 438 Complex Analysis
• MATH 538 Functions of One Complex Variable I
• MATH 539 Functions of One Complex Variable II

Selected Publications

• Celik, M. et al. (2025). Exploring a Geometric Conjecture, Some Properties of Blaschke Products, and the Geometry of Curves Formed by Them. Computational Methods and Function Theory.
• Celik, M. et al. (2024). Area Differences under Analytic Maps and Operators. Czechoslovak Mathematical Journal.
• Celik, M., Sahutoglu, S., and Straube, E. J. (2023). A Sufficient Condition for Compactness of Hankel Operators. Journal of Operator Theory, 89(1), 75-85.
• Bambico, H. K., Celik, M., Gross, S. T., and Hall, F. (2022). Generalization of the Excess Area and its Geometric Interpretation. New York Journal of Mathematics, 28, 1230-1255.
• Celik, M., Sahutoglu, S., and Straube, E. J. (2020). Convex Domains, Hankel Operators, and Maximal Estimates. Proceedings of the American Mathematical Society, 148(2), 751-764.