Dr. Mahadi Ddamulira, Ph.D

Position: Lecturer

Phone: +256772098820

Email: mahadi.ddamulira@mak.ac.ug

Categories: Teaching Staff

Department: Mathematics

Dr. Mahadi Ddamulira (MD) is a Lecturer in the Department of Mathematics, Effective January 2021, Makerere University, Kampala, Uganda. Previously, he was a Postdoctoral Researcher i at the Max Planck Institute for Software Systems (MPI-SWS), Saarbrücken, Germany. Also, he was a University Project Assistant (PraeDoc and PostDoc) at the Institute of Analysis and Number Theory, Graz University of Technology, Graz, Austria. MD is a mathematician who is currently interested in number theory, more specifically working on topics from Diophantine equations which involve linearly recurrent sequences such as the Fibonacci numbers, Pell numbers, Lucas numbers, Tribonacci numbers, Padovan numbers and the k-generalized Fibonacci numbers. The methods of approach to such equations heavily rely on Baker’s theory for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure.

Education Background

[2016 – 2020] Ph.D. (Dr.rer.nat.) in Mathematics, Graz University of Technology, Austria. Thesis title: Diophantine Equations and Linearly Recurrent Sequences.

[2015 – 2016] Postgraduate Diploma in Mathematics, ICTP, Trieste, Italy. Thesis title: The Algorithmic Solution of Diophantine Equations. [2014 – 2015] M.Sc. in Mathematical Sciences, AIMS Ghana, Biriwa, Ghana. Thesis title: Diophantine Equations with Fibonacci and Pell Numbers.

[2009 – 2012] B.Sc. with Education (Mathematics-Major and Physics-Minor), Makerere University, Kampala, Uganda.

Publications

1. H. Batte, M. Ddamulira, J. Kasozi, and F. Luca. Multiplicative independence in the sequence of k–generalized Lucas numbers. Indag. Math., 2024. doi: 10.1016/j.indag.2024.09.002.

2. H. Batte, M. Ddamulira, J. Kasozi, and F. Luca. On the exponential Diophantine equation Un^x + Un+1^x = Um . Ramanujan J., 64(1):153–184, 2024. doi: 10.1007/s11139-023-00818-x. 3. M. Ddamulira, P. Emong, and G. I. Mirumbe. Palindromic concatenations of two distinct repdigits in Narayana’s cows sequence. Bull. Iranian Math. Soc., 50(3):35, 2024. doi: 10.1007/s41980-024-00877-w.

4. M. Ddamulira and F. Luca. On the x–coordinates of Pell equations that are products of two Pell numbers. Math. Slovaca, 74(1):41–56, 2024. doi: 10.1515/ms-2024-0004.

5. H. Batte, T. P. Chalebgwa, and M. Ddamulira. Perrin numbers that are concatenations of two repdigits. Arab. J. Math., 11(3):469–478, 2022. doi: 10.1007/s40065-022-00388-8.

6. H. Batte, M. Ddamulira, J. Kasozi, and F. Luca. On the multiplicity in Pillai’s problem with Fibonacci numbers and powers of a ﬁxed prime. Glasnik Mat., 57(2):185–201, 2022. doi: 10.3336/gm.57.2.02.

7. M. Ddamulira, F. Luca, and R. Tichy. On the Shorey–Tĳdeman Diophantine equation involving terms of Lucas sequences. Indag. Math., 33(2):314–321, 2022. doi: 10.1016/j.indag.2021.08.001.

8. T. P. Chalebgwa and M. Ddamulira. Padovan numbers which are palindromic concatenations of two distinct repdigits. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115(3):108, 2021. doi: 10.1007/s13398-021-01047-x.

9. M. Ddamulira. On the x–coordinates of pell equations that are sums of two Padovan numbers. Bol.Soc. Mat. Mex., 27:1–23, 2021. doi: 10.1007/s40590-021-00312-8.

10. M. Ddamulira. Padovan numbers that are concatenations of two distinct repdigits. Math. Slovaca, 71(2):275–284, 2021. doi: 10.1515/ms-2017-0467.

11. M. Ddamulira and F. Luca. On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences. Ramanujan J., 56(2):651–684, 2021. doi: 10.1007/s11139-020-00278-7.

12. M. Ddamulira. On a problem of Pillai with Fibonacci numbers and powers of 3. Bol. Soc. Mat. Mex., 26(2):263–277, 2020. doi: 10.1007/s40590-019-00263-1.

13. M. Ddamulira. On the x–coordinates of Pell equations that are products of two Padovan numbers. Integers, 20:Paper No. A70, 20, 2020.

14. M. Ddamulira. On the x–coordinates of Pell equations that are products of two Lucas numbers. Fibonacci Quart., 58(1):18–37, 2020. doi: 10.1080/00150517.2020.12427602.

15. M. Ddamulira. Repdigits as sums of three balancing numbers. Math. Slovaca, 70(3):557–566, 2020. doi: 10.1515/ms-2017-0371.

Projects /Grants

[2023 – 2025] Africa – Uninet Project: P105-Uganda | Eﬀective Resolution of Exponential Diophantine Equations | Paris Lodron University Salzburg, Makerere University, Graz University of Technology, EUR 11.600,00. Co-PI at Makerere University.

Mentorship / Supervision

[2021 – 2022] Herbert Batte (2019/HD13/993U) – M.Sc. (Mathematics), Makerere University. Thesis Title: Solutions to a non-linear Diophantine equation of Pillai type, May 2022.

[2022 – 2025] Herbert Batte (2021/HD13/24358U) – Ph.D. (Mathematics), Makerere University. Thesis Title: Solutions to Diophantine equations involving terms of Lucas sequences, perfect powers and repdigits, Defended Thesis, March 2025.

[2023 – Date] Samson Mugaya (2022/HD13/23342U) – Ph.D. (Mathematics), Makerere University. Thesis Title: Solutions to Diophantine equations involving Fibonacci- like sequences and factorials, Research Proposal presented at the Department.

To view the detailed CV, follow the link here: