I am a PhD student at ITU. My advisor is Atabey Kaygun. I obtained my B.S., and M.S. degrees in mathematics from MSGSU under the supervision of Özer Öztürk.

My research interest lies in homological and abstract homotopical algebra. I am mainly interested in understanding model categories and Quillen equivalences on crossed simplicial groups and corresponding chain complexes. I am also interested in algebraic topology, algebraic geometry, higher category theory and related areas.

Alongside my theoretical work, I have recently been expanding my expertise in statistical learning, machine learning, and deep learning. I am particularly interested in the mathematical foundations of learning theory and in exploring potential connections between categorical, homological, and statistical perspectives in modern machine learning.

Contact Information

Address:
B1-223
Department of Mathematics
Faculty of Science and Letters
Istanbul Technical University
Ayazağa Campus
34469 Maslak, Istanbul / TÜRKİYE

e-mail:
kayah17 [at] itu.edu.tr
hydrcnky [at] gmail.com