Serpil Karayel

Serpil Karayel is a Lecturer in the Department of Mathematics at the Faculty of Arts & Science, Yildiz Technical University. She earned her PhD in Mathematics from Yildiz Technical University (2001-2006), following postgraduate studies at Mimar Sinan Fine Arts University (1998-2001) and undergraduate studies at Yildiz Technical University's Faculty of Science and Literature (1991-1997).

Her research focuses on Mathematics, particularly Differential Equations, Topology, and Spectral Theory of operators. She has developed expertise in regularized trace formulas, Sturm-Liouville problems, and evolution systems, with publications spanning from 2006 to 2025. Her scholarly work demonstrates consistent contributions to understanding differential operators and their spectral properties, with recent emphasis on time-ordered evolution systems.

Analysis of her publications reveals a strong thematic continuity in spectral theory of differential operators, with increasing sophistication from basic eigenvalue problems to complex evolution systems. Her work appears in reputable journals including Mathematical Methods in the Applied Sciences, Mediterranean Journal of Mathematics, and Journal of Inequalities and Applications, reflecting her standing in the mathematical research community.

Dr. Karayel has received 5 citations according to Web of Science with an h-index of 2. She has participated in funded research projects including 'Time-Ordered Hyperbolic and Parabolic Evolution Systems' (2023-2024) and 'Calculation of the Second Regularized Trace of Sturm-Liouville Operator with Bounded Operator Coefficient' (2023), demonstrating ongoing research activity.

As an educator, she teaches undergraduate courses including Linear Algebra, Mathematics 1, and Differential Equations, maintaining detailed lecture materials. She serves as an academic advisor, conducting mandatory student-advisor meetings each semester in her office E-2037 as required by university regulations, reflecting her commitment to student mentorship and academic guidance.