Dr. Geoffrey Ismail Mirumbe, PhD

Position: Head of Department / Senior Lecturer
Phone: +256782353552
Categories: Leaderhsip, Teaching Staff
Department: Mathematics, School of Physical Sciences
Short Biography
Mirumbe Ismail has a teaching experience of over fifteen(15) years at the University and my research interests border between Algebra and Analysis (Real and functional Analysis) mainly around the solutions to ordinary differential equations with polynomial coefficients and partial differential equations(elliptic PDE’s).
Education Background
Bachelor of Science, Makerere University
Masters in Mathematics, Makerere University
PhD in Mathematics, Makerere University
Publications
1. G.I. Mirumbe, V.A Ssembatya, R. Bogvad, and J.E. Bjork (2011), on the distribution solutions to ordinary differential equations with polynomial coefficients on the real line. Journal of pure and applied mathematics: Advances and applications volume 6, number 2, pages 135-155.
2. G.I. Mirumbe and V.A Ssembatya (2012), on the coexistence of distributional and rational solutions for ordinary differential equations with polynomial coefficients. Journal of pure and applied mathematics: Advances and applications, volume 8 number 2, pages 75-92.
3. G.I. Mirumbe, V.A Ssembatya and J.M. Mango (2014), on the existence of fundamental solutions for ordinary differential equations with polynomial coefficients, Far east journal of mathematical sciences, volume 85, number 1, pages 47-65.
4. Opio I, G.I Mirumbe, and J.M Mango (2017), on the solution space of ordinary differential equations with polynomial coefficients, Far East journal of Mathematical sciences, volume 101, number 1, pages 103-118.
5. G.I. Mirumbe and J.M. Mango (2018) On generalized solutions of locally Fuchsian ordinary differential equations, Journal of Mathematical Sciences: Advances and Applications Volume 51, Pages 99-117
6. Tumuhimbise B, E, G.I. Mirumbe, and D.Ssevviiri (2018), On the compactification of algebraic Curves Far East Journal of Mathematical Sciences (FJMS), vol. 105, Issue 2 page 283-300.
7. G.I. Mirumbe and J.M. Mango (2019) On the convolution of some analytic functionals via the Fourier transform. International Journal of Advances in Applied Mathematics and Mechanics 6(3) 42-50.
8. Amornrat Sangsuwan, Kamsing Nonlaopon, Somsak Orankitjaroen and G.I. Mirumbe (2019) The generalized solutions of the nth order Cauchy- Euler equation, Mathematics , 7(10), 932. (online journal with free access).
9. A. Bjorn, J.Bjorn (Linkoping University, Sweden) and G.I. Mirumbe(2020), The quasiminimizing constant for the minimum of two quasisuperminimizers in Rn. Vol. 45, 215-225.
10. Ismail Mirumbe(2022), On the quasiminimizing constant for the minimum of two quasisuperminizers on R^n equipped with a p-admissible weight published at https://annalsmcs.org/index.php/amcs/article/view/74
11. Ismail Mirumbe, J. Nakakawa and J. Mango (2023), On the Local Stability of a Certain Class of Polynomial Differential System,
12. Ddamulira, M., Emong, P. & Mirumbe, G.I(2024). Palindromic Concatenations of Two Distinct Repdigits in Narayana’s Cows Sequence. Bull. Iran. Math. Soc. 50, 35. https://doi.org/10.1007/s41980-024-00877-w
Projects /Grants
None at the moment
Mentorship / Supervision
I participate in teaching and supervision of MSc. and PhD Students in Mathematics