Dr. David Ssevviiri, PhD

Position: Associate Professor

Email: david.ssevviiri@mak.ac.ug

Categories: Teaching Staff

Department: Mathematics, School of Physical Sciences

Short Biography

David Ssevviiri is an Associate Professor of Mathematics. He specialises in Pure Mathematics, working in Algebra and Algebraic Geometry. He is interested in topics such as primeness and nilpotency in both ring theory and module theory, local cohomology, torsion theory, radical theory, homological algebra aspects, and geometric interpretations of the above topics.

Education Background

PhD from the Nelson Mandela Metropolitan University (NMMU), South Africa

MSc. Mathematics degree from the NMMU

MSc. Mathematics degree from Makerere University

Bachelor of Science with Education degree from Makerere University.

Publications

20. Abebaw T, Mamo A, Ssevviiri D and Teshome T; On the Greenlees-May Duality and the Matlis-Greenlees-May Equivalence, Res. Math., 12(1), (2025), 1–11.

19. Kimuli P. I and Ssevviiri D. Modules with reduced endomorphism rings, J. Algebra Appl., accepted, https://doi.org/10.1142/S0219498826500428, (2025).

18. Abebaw T, Arega N, Bihonegn T. W and Ssevviiri D. Reduced submodules of finite dimensional polynomial modules, Res. Math., 11(1), (2024), 1–10.

17. Ssevviiri D. Applications of reduced and coreduced modules I, Int. Elect. J. Algebra, 35, (2024), 61–81.

16. Kimuli P. I and Ssevviiri D. Weakly-morphic modules, Rend. Circ. Mat. Palermo, II, 72, (2023), 1583–1598.

15. Kyomuhangi, A and Ssevviiri D. Generalized reduced modules, Rend. Circ. Mat. Palermo, II., 72, (2023), 421–431.

14. Kimuli P. I and Ssevviiri D. Characterization of regular modules, Int. Elect. J. Algebra, 33, (2023), 54–76.

13. Bamunoba A. S, Kimuli P. I and Ssevviiri D. Morphic elements in regular near-rings, Kyungpook, Math. J., 60(4), (2020), 839–851.

12. Kyomuhangi, A and Ssevviiri D. The locally nilradical for modules over commutative rings. Beitr Algebra Geom, 61,(2020), 759–769.

11. Ssevviiri D. On completely prime modules, Int. Elect. J. Algebra, 19, (2016), 77-90.

10. Groenewald N. J and Ssevviiri D. Classical completely prime submodules, Hacet J. Math Stat., 45(3), (2016), 717–729.

9. Ssevviiri D. A relationship between 2-primal modules and modules that satisfy the radical formula, Int. Elect. J. Algebra, 18, (2015), 34–45.

8. Groenewald N. J and Ssevviiri D. Properties of different prime radicals of rings and modules, Comm. Algebra, 43(3), (2015), 971–982.

7. Groenewald N. J and Ssevviiri D. On the Levitzki radical of modules, Int. Elect. J. Algebra, 15, (2014), 77-89.

6. Groenewald N. J and Ssevviiri D. Generalization of nilpotency of ring elements to module elements, Comm. Algebra, 42(2), 2014), 571–577.

5. Ssevviiri D. Characterization of non-nilpotent elements of the $\mathbb Z$-module $\mathbb Z/(p_1^{k_1}\times \cdots \times p_n^{k_n})\mathbb Z$, Int. J. Algebra, {\bf 7}(15), (2013), 699–702.

4. Groenewald N. J and {\bf Ssevviiri D}. K$\stackrel{..}{\text{o}}$the’s upper nil radical for modules, Acta Math. Hungar., 138 (4),(2013), 295–306.

3. Groenewald N. J and Ssevviiri D. Completely prime submodules, Int. Elect. J. Algebra, 13, (2013), 1–14. 2. Groenewald N. J and Ssevviiri D.

2-primal modules, J. Algebra Appl., 12, (2013), 1250226, DOI: 10.1142/S021949881250226X.

1. Ssevviiri D. Structure of non-nilpotent elements of some $\mathbb Z$-modules, Int. J. Algebra, 6 (14), (2012), 691–695.

Projects /Grants

28. 2025, Makerere University Coordinator of a collaboration with the University of L’Aquila

27. Feb 2025, SEK 30,000, ISP towards EAALG

26. Oct 2024, EUR 1,000, EMS CDC support to EAALG workshop

25. Jul 2024, EUR 40,000, Uganda-Austria Collaboration in Algebra and Geometry, Africa- UniNet Research Cooperation project

24. Jun 2024, GBP 1,000, LMS support towards EAALG workshop

23. Mar 2024, SEK 85,000 , ISP support towards EAALG

22. Dec 2022, SEK 1,494,000, ISP support towards EAALG

21. Oct 2022, EUR 1,000, EMS-CDC support towards EAALG Workshop

20. Sept 2022, EUR 3,000, Foundation Compositio support towards EAALG Workshop

19. Sept 2022, EUR 3,000, IMU-CDC support towards EAALG Dec 2022 Workshop

18. Aug 2022, USD 1,750, IMU-GRAID support for one PhD student.

17. Apr 2022 , EUR 4,000, Support from European Mathematical Society (EMS), CDC towards a visit to Makerere University of 2 PhD students from Addis Ababa University, Ethiopia.

16. Feb – Mar 2022 , GBP 8,390, Abram Gannibal project support towards a research visit to Glasgow University

15. Jan 2022, UGX 169,180,000, PI, Presenting new approaches to the teaching and learning of Maths. Makerere University Research and Innovation Fund

14. Sept 2021, USD 1,750 & IMU-GRAID support for one PhD student.

13. Jul 2021, & SEK 539,000, PI, Eastern Africa Algebra Research Group

12. Dec 2019 – USD 6,520, Continued IMU-GRAID support towards training of 2 PhDs

11. Nov 2019 – UGX 230,620,500, PI, Presenting new approaches to the teaching and learning of Maths. Makerere University Research and Innovation Fund

10. Jul 2018 – USD 5,736.82 – PI, IMU-GRAID support towards training of 2 PhD students

9. 2018-2020 – SEK 8,900,000 & ISP support for EAUMP Network under my coordination

8. Jul 2017 – GBP 5,000 – Africa-Oxford Initiative visiting fellowship

7. May 2017 – GBP 2,410 – LMS grant to have a research visit to: Glasgow University, University of Edinburgh, Oxford University, University of Bath and University of Warwick.

6. Mar 2013- DAAD and RCD NMMU

5. Jun 2013- Supported my Post-doc studies at NMMU

4. 2012 – NRF grant and DAAD, Supported my PhD studies

3. 2010-2011 – NRF grant and NMMU postgraduate bursary supported my MSc studies at NMMU

2. 2008-2009 – LMS/MARM grant and EAUMP which supported my MSc studies at Mak

1. 2002-2005 – Government of Uganda supported my BSc studies at Mak

Mentorship / Supervision

Completed PhD students:

5. Tecklemichael Worku, Reduced submodules of finite dimensional modules and the generalization of the torsion functor, successfully defended the thesis – to graduate in June 2025, (supervised with Dr. Tilahun Abebaw and Dr. Nega Arega).

4. Caroline Namanya – Pure Braids and Group Actions from 3-fold Flops (supervised with Prof. Michael Wemyss) – graduated January 2025.

3. Brian Makonzi – Computing the Artin component using reconstruction algebras (supervised with Prof. Michael Wemyss) – graduated January 2025.

2. Philly Ivan Kimuli worked on the topic: morphic property in modules and near-rings (supervised with Dr. A. S. Bamunoba), graduated February 2023.

1. Annet Kyomuhangi, worked on the topic: Reduced modules relative to functors, (supervised with Dr. A. S. Bamunoba), graduated February 2023.

Completed MSc students:

17. Paul Kivumbi, On the powers of graphs and applications to resolutions of powers of monomial ideals, successfully defended dissertation in 2024 (supervised with Dr. Alex B. Tumwesigye).

16. Patrick Masaba, “Local Cohomology Without Direct Limits and Local Homology Without Inverse Limits”, graduated 14th January 2025 (supervised with Dr. Alex S. Bamunoba).

15. Luijah Maturu, “On the representation theory of symmetric groups”, graduated Jan 2024, (co-supervised with Prof. Bernardo Rodrigues and Dr. Alex B. Tumwesigye).

14. Darius Guma, “The dual of local cohomology modules”, graduated Feb 2023 (supervised with Dr. Alex S. Bamunoba).

13. William Kirabo, “On completely prime ideal principle”- graduated Jan 2020 (supervised with Dr. G. I. Mirumbe).

12. Mustafa Ahmed Moalim, “On Rad-projective modules” – graduated Jan 2020 (supervised with Dr. Alex S. Bamunoba).

11. Samson Mugaya, “A proof of the Poincare-Miranda Theorem via the discretization approach” – graduated Jan 2020 (supervised with Dr. S. H. Nsubuga).

10. Alfred Muwoya, “Classification of quivers of finite type” – graduated Jan 2020 (supervised with Dr. A. S. Bamunoba).

9. Caroline Namanya, “On hulls of semiprime rings” – graduated January 2020 (supervised with Dr. A. S. Bamunoba).

8. Brian Makonzi, “Localization in different categories” – Graduated Jan 2019 (supervised with Dr. G. I. Mirumbe).

7. Peter Amutuheire, “On conditions for which prime ideals are completely prime”, graduated Jan 2017 (supervised with Prof. J. Kasozi).

6. Edson Bazeyo Tumuhimbise, “On the analysis of algebraic curves” – graduated Jan 2016 (supervised with Dr. G. I. Mirumbe).

5. Ivan Philly Kimuli, “Morphic near-rings”- graduated Jan 2016 (supervised with Dr. G. I. Mirumbe).

4. Sarah Nakato, “On the prime ideal principle in commutative rings” – graduated Jan 2016 (supervised with Dr. S. H. Nsubuga).

3. Vincent Umutabazi, “On a generalization of injective modules: Red-injective modules and strongly Red-injective modules” – graduated Jan 2016 (supervised with Prof. J. Kasozi).

2. Stephen Kadedesya, “On the radical formula of modules” – graduated Jan 2015 (supervised with Prof. J. Kasozi).

1. Innocent Ndikubwayo, “On the Cauchy integral formula using winding numbers” – graduated Jan 2015 (supervised with Dr. S. H. Nsubuga).

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