Lecturer
Dr.Kikete Wabuya
Professional biography
Dr. Kikete Wabuya is a research scholar with a PhD in Pure Mathematics from the University of Nairobi, currently serving as a Lecturer and Acting Chair of the Department of Mathematics and Statistics at the Open University of Kenya. With over a decade of teaching and research, Dr. Wabuya has deep expertise in advanced mathematics, statistical analysis and data science.
Dr. Wabuya's research focuses on operator theory in Hilbert spaces, complemented by strong capabilities in data analytics using Python, SPSS, STATA and R. Current research interests lie at the intersection of operator theory and machine learning, particularly deep learning and the use of operators to analyse wide neural networks.
Research Interests
- Operator theory in Hilbert spaces
- Operator theory and machine learning: the use of operators to analyse wide neural networks in deep learning
- Statistical analysis and data science (Python, SPSS, STATA, R)
Academic matrix
Qualifications
- Doctor of Philosophy in Pure Mathematics, University of Nairobi, Kenya (2023)
- Master of Science in Pure Mathematics, University of Nairobi, Kenya (2009)
- Bachelor of Education, Arts (Mathematics Major, Accounting Minor), University of Nairobi, Kenya (2006)
Core specialisations
- Operator Theory
- Pure Mathematics
- Statistical Analysis
- Data Science
- Machine Learning
Selected peer-reviewed publications
- Wabuya, K., Wanyonyi, S., Kitheka, M., & Wafula, A. (2023). On a class of operators related to binormal operators. Scientific African, 22. ScienceDirect
- Luketero, S., & Wabuya, K. A Study on Properties of skew (n, m) Binormal Operators. Asian Journal of Pure and Applied Mathematics, 6(1), 12–21, Article no. AJPAM.1462. AJPAM
- Wabuya, K., Wanyonyi, S., Kitheka, M., & Wafula, A. On (n, m)-Hyponormal Operators. Asian Journal of Pure and Applied Mathematics, 5(1), 209–217. AJPAM
- Wanyonyi, S. L., & Wabuya, K. Some results on operators consistent in invertibility. Mathematical Theory and Modelling, 8(7). IISTE
- Sitati, I., Musundi, S., Nzimbi, B., & Wabuya, K. A note on quasi-similarity of operators in Hilbert space. International Journal of Mathematical Archives, 6(7).
Colleagues
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