## EDUCATION BACKGROUND

2017 to 2021: Makerere University Kampala: Pursued the Degree of Doctor of Philosophy in Mathematics. I have done research for a PhD in mathematics (Applied and statistical mathematics), the title of the research project is “A Mathematical Model for Dynamic Stochastic Asset-Liability Management of Uganda’s Retirement Benefit Schemes”. The units studied in the course work component are: Algebra I, Measure and Integration, Functional Analysis, Advanced Research Methods, Probability and Statistics I, Optimization, Partial Differential Equations, Numerical Linear Algebra, Advanced Statistical Inference, Philosophy of Methods, Scholarly writing and Communication Skills, Numerical PDEs, Dynamical Systems, Stochastic Processes, Bayesian Methods for Data Analysis, Advanced Probability Theory, Multivariate statistics, Mathematical Finance, Bio-statistics, Stochastic Calculus, Linear Statistical Models.

2011 – 2014: Makerere University, Kampala: Pursued the Degree of Master of Science in Mathematics. The title of the research project being “Mean-Variance Portfolio Optimization in Continuous-Time under Borrowing Constraints”. The units studied include: Measure and Probability, Introduction to Mathematics of Finance, Numerical Methods for Partial Differential Equations, Stochastic Calculus, Applied Functional Analysis, Computational and Research Methods, Advanced Rings and Modules, Group Theory, General Topology, Seminar Series, and Dissertation.

2003 – 2006: Makerere University, Kampala: Pursued a Degree of Bachelor of Science. Subjects studied include Mathematics, Physics and Chemistry. Majored in Mathematics, the core Mathematics units studied include : Elements of Probability and Statistics, Calculus I, Linear Algebra I, Calculus II, Vector Calculus, Classical Mechanics I, Real Analysis I, Probability Theory, Differential Equations I, Linear Algebra II, Abstract Algebra, Complex Variables I, Numerical Analysis I, Statistical Inference I, Functional Analysis, Numerical Analysis II, Bio-mathematics, Dynamical Systems, Stochastic Processes, Real Analysis II, Differential Equations II, Linear Programming I, Classical Mechanics II, Mathematical Logic.

2001 – 2002: Makerere College School: Pursued the Uganda Advanced Certificate of Education. Subjects studied include Mathematics, Physics, Chemistry and Biology. Passed with four principal passes.

1997 – 2000: Lubiri Secondary School: Pursued the Uganda certificate of Education. Subjects studied include English, Mathematics, Chemistry, Physics, Biology, Geography, History and Principles of Accounts. Passed in Division one.

## WORKING EXPERIENCE

January 2016 to date: Part time lecturer, Kyambogo University. Responsible for lecturing and supervision of undergraduate students offering BSc. Statistics and BSc. Education, and post-graduate students offering Master of Science in Applied Mathematics. I have been involved in giving lectures at Learning Centers established by Kyambogo University. The courses taught so far include; Programming Methodology, Time Series Analysis, Classical Mechanics, Vector Calculus, Algebra, Calculus, Stochastic Processes, Financial Mathematics.

August 2011 – 2015: Head of Examinations office Naalya S S Bweyogerere. Through this office, I ensured that the quality of papers set by teachers and assessment is excellent. This has kept Naalya S S Bweyorere among the top ten ranked schools in Uganda since 2009.

March 2011 – 2015: Head of Mathematics Department Naalya S S Bweyogerere. Responsible for all administrative activities in the department; Oversee setting & marking of examinations, supervising teaching and learning of Mathematics, allocate classes and prepare subject syllabi.

2007 – 2009: Class Teacher Naalya S S Bweyogerere. I was the class teacher of the class that sat their O-level examinations in 2009 where I was also their mathematics teacher.

June 2007 – 2014: Teacher of Mathematics and Physics, Naalya S S Bweyogerere and Head of Mathematics Department A-level at the same school. I have ensured quality delivery of mathematics teachers at A-level, with most of our students scoring grades; A, B and C. I have also written two books entitled “Explorations in A-level Mechanics Mathematics” and “Explorations in A-level Physics Paper One”.

November 2009 – 2011: Taught and Bishop Nankyama Memorial College on part time basis, where I headed both Mathematics and Physics departments.

## WORKSHOPS, SEMINARS AND CONFERENCES

1. PhD research fellowship at Linkӧping University, Sweden: 1st November 2021 to 30 th December 2021.

2. PhD research fellowship at Linkӧping University, Sweden: 1st November 2019 to 31st January 2020.

3. The 4th Network Meeting for Sida- and ISP- Funded PhD Students and Postdocs in Mathematics under the theme: Strengthening Research and Postgraduate Training in Mathematics in African Universities held at Pyramid Hotel, Bishoftu, Ethiopia from 4th to 10th August, 2019.

4. PhD research fellowship at Linkӧping University, Sweden: 1st April to 31st May 2019.

5. Participated in writing the Master of Science in Applied Mathematics for Kyambogo University Mathematics Department. I also participated in reviewing the curriculum for Bachelor of Science in Statics and Bachelor of Science with Education for Kyambogo University Mathematics Department.

6. The 3rd Network Meeting for Sida- and ISP- Funded PhD Students and Postdocs in Mathematics under the theme: Strengthening Research in Mathematics in Universities with Sida and ISP Support held at Imperial Botanical Beach Hotel, Entebbe, Uganda from 20th to 24th August, 2018.

7. Participated in the East African Mathematical Modeling Workshop at Dar es salaam University, Tanzania which was held as part of the CIMO project network, 10th – 16th August 2014.

8. Participated in the East African School on Combinatorial Commutative Algebra which was held at the Department of Mathematics The Nelson Mandela African Institute of Science and Technology, Arusha Tanzania 13th – 21st August 2017.

9. Participated in the workshop about Group theory facilitated by Prof. Gregory Sankaran from Bath University, UK held at the department of mathematics Makerere University.

10. The 3rd conference and school on Inverse Problems in Africa held at Makerere University, 6th – 15th November 2017.

11. EAUMP 3rd conference on theme: Advances in Mathematics and its Applications at Department of Mathematics, Makerere University, Kampala, UGANDA from 26th October to 28th October, 2016.

12. HEI-ICI workshop on Mathematics Education and Working Life Relevance held at Department of Mathematics, Makerere University, Kampala, UGANDA in collaboration with Lappeenranta University of Technology, Finland 2nd – 12th December, 2013.

13. The 10th Anniversary of Eastern Africa Mathematics Program (EAUMP) 2012 conference held at Nelson Mandela African Institute of Science and Technology, Arusha, Tanzania 21st – 25th August, 2012.

## Publications

1. Mukalazi, H., Larsson, T., Kasozi, J., & Mayambala, F. (2021). Asset Liability Management for the Parliamentary Pension Scheme of Uganda by Stochastic Programming. Afrika Statistika, 16(2), 2689-2715.

2. Mukalazi, H., Larsson, T., Kasozi, J., & Mayambala, F. Asset liability management for the Bank of Uganda defined benefits scheme by stochastic programming.

3. Long Term Projection of the Demographic and Financial Evolution of the Parliamentary Pension Scheme of Uganda. This is accepted for publication in Operations Research and Decisions.

## Current Research Projects

Application of stochastic programming in asset liability management, Investment analysis, Pension fund projections

## Research Interests

Stochastic Processes, Financial Mathematics, Optimization, Pension Funds, Stochastic Differential Equations

## Current Partnership

Member of East African Financial Mathematics Research Group

## Other skills

- Applications of stochastic programming in asset liability management
- Application of dynamic programming to portfolio selection problems
- Investment analysis
- Enculturation
- Communication
- Analytical Skills
- Time Management

## Contacts

Tel: +256 772 068 352

Email: hmukalazi@kyu.ac.ug