Asaph Keikara Muhumuza

Dr.
Asaph
Keikara
Muhumuza
Ph.D., Mathematics
Lecturer, Analysis and Applied Mathematics
Busitema
Office Hours
8:00AM - 5:00PM
amuhumuza@sci.busitema.ac.ug
Dr. Muhumuza
Attach CV
Muhumuza,s C.V
Biography

Dr. Asaph Keikara Muhumuza , Lecturer of both pure and Applied Mathematics in the Department of Mathematics, Faculty of Science and Education, Nagongera Campus, Busitema University, Uganda.  He holds Bachelor of Science with Education, Bsc. Ed.(Maths/Chem), degree of Makerere University  (Mak), Master of Science, MSc. in Mathematics , degree of Makerere (Mak) and a Doctoral of Philosophy Degree, PhD. , in mathematics of Mälardalen University (MUD), Västerås, Sweden.
Dr. A. K. Muhumuza's Mathematical expertise focuses mainly in Mathematical Analysis, Numerical Analysis and Optimization as demonstrated in his Ph.D. Thesis title, "Extreme points of the Vandermonde determinant in numerical approximation, random matrix theory and financial mathematics." He has taught numerous  mathematics courses at both undergraduate and postgraduate level including: Calculus I, Calculus II, Calculus III,  Elements of Mathematics, Elements of PRobability and Statistics, Linear Algebra I, Linear Algebra II, Real Analysis I, Abstract Algebra, Probability Theory, Ordinary Differential Equations (ODE), Differential Equations II, Functional Analysis, Stochastic Processes, Partial Differential Equations (PDEs), Continuum Mechanics, Numerical Solutions of PDEs, Methods of Mathematical Physics, and Computational Fluid dynamics (CFD). He has also guided, mentored and supervised students in research at undergraduate and Masters level. He has been involved in review and developing new of Mathematics programmes currently running in the department of Mathematics. Above all  he is actively involved in research groups including Partial Differential Equations and Applications, PDE-APP. 

Publications and Papers
  1. Asaph Keikara Muhumuza, Sergei Silvestrov, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, Godwin Kakuba. (2020), “The extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial.” Published as Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 791-818, Springer, Cham, 2020.
  2. Asaph Keikara Muhumuza, Sergei Silvestrov, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, Godwin Kakuba. (2020),“Optimization Of The Wishart Joint Eigenvalue Probability Density Distribution Based On Generalized Vandermonde Determinant.” Published as Book Chapter in of International Conference on Stochastic Processes and Algebraic Structures, 818-838, Springer, Cham, 2020.
  3. Asaph Keikara Muhumuza, Anatoliy Malyarenko, Sergei Silvestrov. (2017), “The Lie Symmetry Analysis of the Black-Type Equations in Finance.” In proceedings of The 17th Applied Stochastic Models and Data Analysis, ASMDA 2017 International Conference focused on new trends in theory, applications and software held in De Morgan House of the London Mathematical Society, London, UK, from the 6th to the 9th of June, 2017.
  4. Asaph Keikara Muhumuza, Sergei Silvestrov, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, Godwin Kakuba. (2018), “The Generalized Vandermonde Interpolation Polynomial Based On Divided Differences.” In proceedings of The 5th Stochastic Modeling Techniques and Data Analysis, SMTDA 2018 International Conference held in on Tuesday 12 - Friday 15 June 2018. Chania, Crete, Greece.
  5. Asaph Keikara Muhumuza, Karl Lundengård, Jonas Österberg, Sergei Silvestrov, John Magero Mango, Godwin Kakuba. (2018), “Properties of Extreme Points of the Joint Eigenvalue Distribution of Wishart Matrix.” Published as Book Chapter in International Society for the Advancement of Science and Technology, ISAST, 559-571, 2019.
  6. Asaph Keikara Muhumuza, Anatoliy Malyarenko, Karl Lundengård, Sergei Silvestrov, John Magero Mango, Godwin Kakuba. (2019), “Connection Between the Extreme Points of Vandermonde Determinants and Maximization of Risk Measure in Financial Mathematics.” Yet to be Published as Springer Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 2019.
  7. Asaph Keikara Muhumuza, Sergei Silvestrov, “Symmetric Group Properties of the Extreme Points of Vandermonde Determinant and Schur Polynomials.” Yet to be Published as Springer Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 2019.
  8. Asaph Keikara Muhumuza, Anatoliy Malyarenko, Karl Lundengård, Sergei Silvestrov, John Magero Mango, Godwin Kakuba, “The Wishart Distribution on Symmetric Cones.” Yet to be Published as Springer Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 2019.
  9. Asaph Keikara Muhumuza, Anatoliy Malyarenko, Karl Lundengård, Sergei Silvestrov, John Magero Mango, Godwin Kakuba, “The Wishart Distribution on Symmetric Cones.” Yet to be Published as Springer Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 2019.
  10. Asaph Keikara Muhumuza, Anatoliy Malyarenko, Karl Lundengård, Sergei Silvestrov, John Magero Mango, Godwin Kakuba, “The Extreme Points of the Vandermonde Determinant and Wishart Ensembles on Symmetric Cones.” Yet to be Published as Springer Book Chapter in International Conference on Stochastic Processes and Algebraic Structures, 2019.
  11. Ebelait Joseph, Twaibu Semwogerere, Nagulama Moses, Keikara Asaph Muhumuza. “A Mathematical Model on Linkage Leakage in Sewage Pipes Laid in a Porous Ground Using Computation Fluid Dynamics.” East African Journal of Engineering, 4(1), 22-32, 2021.
  12. Wambi Ali, Twaibu Semwogerere, Awichi O. Richard, Keikara Asaph Muhumuza. “Mathematical Modelling of Oil Pipeline Leakages Using Computional Fluid Dynamics – Case of BIDCO Oil Processing Refinery, Uganda.” Journal of Advances in Mathematics, 21, 25-52, 2022. DOI:10.24297/jam.v21i.9163.
Presentations

​​​​​​INTERNATIONAL CONFERENCES, WORKSHOPS, AND SEMINARS

  • Applied Stochastic Models and Data Analysis, ASMDA2017, 06 -10th June 2017, London, UK.
  • International Conference on Stochastic Processes and Algebraic Structures,– From Theory Towards Applications, SPAS2017, 4-6th October 2017, Västerås and Stockholm, Sweden.
  • International Conference on Stochastic Modelling Techniques and Data Analysis, SMTDA2018, 12-15th June, 2018, Chania, Crete, Greece.
  • International Workshop on Applied Probability, IWAP2018, June 18th-21st 2018, ELTE University, Budapest, Hungary.
  • International Conference on Applied Stochastic Models and Data Analysis, ASMDA2019, 11-14th June, 2019, Florence, Italy.
  • International Conference on Stochastic Processes and Algebraic Structures- From Theory Towards Applications, SPAS2019, 28th Sept – 01st October 2019, Västerås, Sweden.

EVENTS

  • The Nobel Prize Award Ceremony 2016, Nobel Prize Award Ceremony from the Stockholm Concert Hall in Sweden, 10 December 2016.
  • Building future network seminar at Sida headquarters, Stockholm on November 13, 2017.
  • The Nordic Africa Institute, Seminar, September 2017.
  • Building future network seminar at Sida headquarters, Stockholm on February 26-27, 2018.
  • PhD Student Networking & SDG Meeting, Karolinska Intitutet, Stockholm, April 17, 2018.
  • Third Networking Meeting and Building future network – SIDA-ISP2018, Theme: Strengthening Research in Mathematics in Universities with Sida and ISP Support 20th to 24th August 2018 Entebbe, Uganda.
  • Fourth Network Meeting for Sida- and ISP-funded PhD Students and Postdocs in Mathematics. Theme: Strengthening Research and Postgraduate Training in Mathematics in Universities in Africa 5th to 9th August 2019 Bishoftu, Ethiopia Organized by University of Ethiopia

SEMINARS AND WORKSHOPS

  • Intensive Special Semiar on Non commutative differential calculus and its applications in Physics in October 2017
  • Intensive Special Seminar on Discrete mathematical finance models in October 2017.
  • Intensive Seminar on Numerical Analysis for Engineers – SNAE2018, Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, November 5-9, 2018
  • Special Worskshop on Engineering Mathematics and Computational Analytical Methods in Engineering - EM-CAME 2019, Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, April 1-3, 2019.
  • Intensive Seminar on Matroids, polymatroids and generalizations thereof via cyclic flats, and some connections to different algebraic structures, UKK, MDH, April 2019
  • Intensive Seminar on Matroids, polymatroids and generalizations thereof via cyclic flats, and some connections to different algebraic structures, UKK, MDH, April 2019
  • Special Workshop on Advanced Engineering Numerical Methods, Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, November, 2019.
  • Intensive Seminar on Fixed Point Theory and Nonlinear Analysis – Organised by Mathematics and Applied Mathematics Research Environment, MAM, Division of Applied Mathematics, UKK, MDH, October 2019.
  • Intensive Seminar on Multi-resolution, Multivariate operator theory and Non-commutative analysis- Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, October, 2019.
  • Intensive Seminar on Graded Associative and Non-associative algebras - Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, October, 2019.
  • Intensive Seminar on Graded and Non-associative algebras and their application in physics - Organised by Mathematics and Applied Mathematics Research Environment MAM, Division of Applied Mathematics, UKK, MDH, November, 2019.
Research Focus
  • Partial Differential Equations and Applications
  • Computational Fluid Dynamics
  • Numerical Computing
  • Optimization
  • Stochastic Modelling
  • Financial Modelling
  • Advanced Statistical Computing Data Analysis. 
Courses Taught
Calculus I, Calculus II, Calculus III,  Elements of Mathematics, Elements of PRobability and Statistics, Linear Algebra I, Linear Algebra II, Real Analysis I, Abstract Algebra, Probability Theory, Ordinary Differential Equations (ODE)
Differential Equations II, Functional Analysis, Stochastic Processes, Partial Differential Equations (PDEs), Continuum Mechanics, Numerical Solutions of PDEs, Methods of Mathematical Physics, and Computational Fluid dynamics (CFD)
Committees Served
Member of the Faculty Grants Committee
Staff Type
Academic Staff