Currently, I am focusing on Research in Undergraduate Education. I am a member of the Creativity Research Group that researches Undergraduate Mathematics Education. Our research group is looking at ways of promoting and fostering mathematical creativity in undergraduate mathematics courses.
My mathematical research background and interests include representation theory, Lie theory, Lie superalgebras. Those who are interested can read an essay that my advisor wrote for nonexperts about this research area. I mostly worked on similar topics. In that work, I focused on computing the complexity of modules over various Lie superalgebras.
I was also a member of a multi-institutional research group that developed from attending REUF workshop at the American Institute of Mathematics. Our research group studied the rainbow number of various equations.
I additionally mentor undergraduate research in Mathematics. I have worked with numerous students on projects in Abstract Algebra, Number Theory, and Combinatorics.
A complete publication list and presentations can be found in my Curriculum Vitae.
Cilli-Turner, E., Satyam, V.R., Savic, M., Tang, G., El Turkey, H., & Karakok, G. (2023). Broadening Views of Mathematical Creativity: Inclusion of the Undergraduate Student Perspective. Journal of Creativity, Volume 33, Issue 1. Available at this link.
El Turkey, H. and Waskiecwiz, N. (2023). On Rainbow Numbers of Z_n for x_1 + x_2 = 4x_3. Missouri Journal of Mathematical Sciences.
Satyam, V.R., Savic, M., Cilli-Turner, E., El Turkey, H., & Karakok, G. (2021). Exploring the Role of Students' Views of Creativity on Feeling Creative. International Journal of Mathematical Education in Science and Technology.