pr.cns@mak.ac.ug

Dr. Alex Behakanira Tumwesigye, PhD
Short Biography
Dr. Alex Behakanira Tumwesigye is a pure mathematician working on the boarder of algebra and analysis, with a keen focus on operator algebras. He has successfully supervised five postgraduate students to completion, including two PhD and three MSc candidates, and is currently supervising one PhD and one MSc student. Dr. Tumwesigye is passionate about delivering high-quality expertise while upholding the highest standards of integrity in his academic and professional endeavours.
Education Background
2006 BSc in Mathematics, Makerere University, Uganda
2009 Dip. in Mathematics, ICTP, Italy
2012 MSc in Mathematics, Makerere University, Uganda
2016 Licentiate in Mathematics, Mälardalen University, Sweden
2018 PhD in Mathematics, Mälardalen University, Sweden
Publications
Silvestrov, S. D., Tumwesigye, A. B. (2014) On monomial commutativity of operators satisfying commutation relations and periodic points for onedimensional dynamical systems, AIP Conference Proceedings, 1637, 1110-1119.
Richter, J., Silvestrov, S. D., Ssembatya, V. A., Tumwesigye, A. B., (2016). Crossed product algebras for piecewise constant functions, in Silvestrov S., Rancic M., (eds.), Engineering Mathematics II. Algebraic, stochastic and analysis structures for networks, data classification and optimization, Springer Proceedings in Mathematics and Statistics, Springer, 75-93.
Richter, J., Silvestrov, S. D., Tumwesigye, A. B., (2016). Commutants in crossed products for algebras of piecewise constant functions, in Silvestrov S., Rancic M., (eds.), Engineering Mathematics II. Algebraic, stochastic and analysis structures for networks, data classification and optimization, Springer Proceedings in Mathematics and Statistics, Springer, 95-108.
Djinja, D., Silvestrov, S. D., Tumwesigye, A. B., (2019). Multiplication and Linear Integral Operators on Lp Spaces Representing Polynomial Covariant Type Commutation Relations.. In International Conference on Stochastic Processes and Algebraic Structures (pp. 205–231). Cham: Springer International Publishing.
Djinja, D., Silvestrov, S. D., Tumwesigye, A. B., (2019). Representations of Polynomial Covariance Type Commutation Relations by Linear Integral Operators on LP Over Measure Spaces. In International Conference on Stochastic Processes and Algebraic Structures (pp. 59–95). Cham: Springer International Publishing.
Silvestrov, S. D., Tumwesigye, A. B., (2019). Commutants in Crossed Products for Piecewise Constant Function Algebras Related to Multiresolution Analysis. In International Conference on Stochastic Processes and Algebraic Structures (pp. 709–724). Cham: Springer International Publishing.
Tumwesigye, A. B., Richter, J., Silvestrov, S. D., (2020). Commutants in crossed products for algebras of piecewise constant functions on the real line. In: Silvestrov S., Malyarenko A., Rancic M., (eds.), Algebraic structures and applications. SPAS2017. Springer Proceedings in Mathematics and Statistics, vol 317. Springer, Cham.
Tumwesigye, A. B., Richter, J., Silvestrov, S. D., (2020). Ore extensions of function algebras.In: Silvestrov S., Malyarenko A., Rancic M., (eds.), Algebraic structures and applications. SPAS2017. Springer Proceedings in Mathematics and Statistics, vol 317. Springer, Cham.
Tumwesigye, A. B., Richter, J., Silvestrov, S. D., (2020). Centralizers in skew PBW extensions. In: Silvestrov S., Malyarenko A., Rancic M., (eds.), Algebraic structures and applications. SPAS2017. Springer Proceedings in Mathematics and Statistics, vol 317. Springer, Cham.
Djinja, D., Silvestrov, S. D., Tumwesigye, A. B., (2023). Some Algebraic Properties of Representations of Polynomial Covariance Commutation Relations. In Algebra without Borders–Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications (pp. 379–417). Cham: Springer International Publishing.
Djinja, D., Silvestrov, S. D., Tumwesigye, A. B., (2023). Representations of Polynomial Covariance Type Commutation Relations by Over Linear Measure Integral Spaces Operators on Lp. Stochastic Processes, Statistical Methods, and Engineering Mathematics: SPAS 2019, Västerås, Sweden, September 30–October 2,. Cham: Springer International Publishing.
Djinja, D., Silvestrov, S. D., Tumwesigye, A. B., (2024). Linear integral operators on L p spaces representing polynomial covariance type commutation relations. Afrika Matematika, 35(1), 18.
Projects /Grant
Makerere Node Co-Lead, Africa – Europe Cluster of Research Excellence in Mathematics (CoRE-MATH)
Mentorship / Supervision
I have supervised the following postgraduate students. • Dr. Silas Kito, PhD. Mathematics, Makerere University, Uganda, – Graduated. • Dr. Domingos Celso, PhD. Mathematics, Mälardalen University, Sweden, –Graduated. • Mr. Yasin Segawa, MSc. Mathematics, Makerere University, Uganda, –Graduated. • Ms. Luijah Maturu, MSc. Mathematics, Makerere University, –Graduated. • Mr. Yasin Segawa, PhD. Mathematics, Makerere University, –Uganda, Ongoing. • Mr. Paul Kivumbi, MSc. Mathematics, Makerere University, –Completed. • Mr. Arnold Ssekago, MSc. Mathematics, Makerere University, Uganda, –Ongoing.
For more please read the detailed CV here;