Research
My research focuses on optimization theory and algorithms for machine learning, with an emphasis on efficiency, scalability, and the theoretical understanding of optimization methods. These methods are particularly relevant for large-scale machine learning training and federated learning.
I completed my Ph.D. in real harmonic analysis, a branch of mathematics that explores the relationship between functions or signals and their frequency domain representations. My thesis investigated the convergence and divergence properties of certain convolution-type integral operators.
In addition, I have done some research in algebra. During my undergraduate studies at YSU, I completed a research project on universal algebraic structures called dimonoids, which led to a publication in Algebra and Discrete Mathematics. Later, at KAUST, I worked on symbolic computation, specifically on developing computer algebra techniques for automating certain aspects of PDE analyses.
For the complete list of my publications, please visit my Google Scholar page.