Research

I work in homological algebra. My research is specifically about Hopf algebras, Hochschild and Hopf algebra cohomologies, and Lie (Gerstenhaber bracket) structure on these cohomologies.

Publications

Book

• ÖABT Matematik Öğretmenliği Soru Bankası (Linear Algebra and Algebra parts), Murat Yayınları, 2013.

Theses

• Gerstenhaber Bracket on Hopf Algebra Cohomology, Ph.D. thesis, 2021.

• Modular forms and L-functions, M.S. thesis, 2016.

Articles

• On the Hochschild Cohomology for Frobenius Kernels, (with D. K. Nakano), submitted (2024).

• Lie structure on Hopf algebra cohomology, Lie Theory and Its Applications in Physics, Springer 2022, Volume 396 (published version). (Peer-reviewed Conference Proceeding)

• Lie brackets on Hopf algebra cohomology, (with S. Witherspoon), Pacific J. Math. 316 (2022), no. 2, 395-407 (journal version).

• Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies, J. Pure Appl. Algebra, 226 (2022), no. 7 (journal version).

• Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products, (with D. McPhate, P. Ocal, T. Oke, and S. Witherspoon), J. Pure Appl. Algebra, 225 (2021), no. 6, 14 pp. (journal version)