Dr Ur Koumba
Senior Lecturer
Mathematics and Applied Mathematics
University of The Free
Qwaqwa Campus
Sports Facilities

Short CV

  • PhD in Pure Mathematics (UJ 2011-2014).
  • Master in Financial Economics (UJ 2016-2018).
  • MSc in Pure Mathematics (Wits 2008-2010).


Publications (Short List)

  1. U Koumba & H Raubenheimer, Finite Rank Riesz Operators, Glasgow Math. J. 56 (2014) 183–185.
  2. U Koumba & H Raubenheimer, Positive Riesz Operators, Mathematical Proceedings of the Royal Irish Academy, Vol(115A), No 1 (2015) 39-49. 
  3. U Koumba, On Finite Rank Riesz Operator, Mathematical Proceedings of the Royal Irish Academy (2019).
  4. B.D Simo-Kengne, K Agyarko Ababio, J Mba & U Koumba, Behavioural Portfolio selection and Optimization: An application to International Stock, Financial Markets and Portfolio Management, DOI 10.1007/s11408-018-0313-8 (2018).
  5. B.D Simo-Kengne, K Agyarko Ababio, J Mba, U Koumba, & M Molepo, Risk,Uncertainty and Exchange Rate Behavior in South Africa, Journal of African Business (2017).
  6. B.D Simo-Kengne, K. A  Ababio, J Mba & U Koumba, Multivariate Dependence Risk and Portfolio Selection: An Application to International Stock Portfolio". Available at SSRN: ttps://ssrn.com/abstract=2856364 (October 20, 2016).
  7. J C Mba & E Pindza & U Koumba, A differential evolution copula-based approach for a multi-period cryptocurrency portfolio optimization, Financial Markets and Portfolio Management, Springer, vol. 32(4), pages 399-418 (November 2018).
  8. U Koumba, C Mudzingiri & J C Mba, Does uncertainty predict cryptocurrency return. A  copula based approach, Macroeconomics and Finance in Emerging Market Economies (2019).
  9. U Koumba, JC Mba, B.D Simo-Kengne & K Agyarko Ababio, Stress testing VaR  modeling: Evidence from developed and emerging markets, Journal of African Business (2019).



Dr Ur Koumba has mainly two Research inclinations: Mathematics and Financial Economics (Mathematical Modeling)

Area(s) of Interest

Dr Ur Koumba holds a PhD in Pure Mathematics. His doctorate Thesis titled: “On Riesz Operators” aimed at contributing to the development of the structural theory of Riesz operators. Its results provided the answers under which Riesz operator is of finite rank via different spaces.Dr Koumba also worked on the so-called famous domination problem. His Mathematical expertise relates to:

  • Functional Analysis (specifically on Operator Theory and Spectral Theory)
  • Stochastic calculus
  • Topology
  • Statistics and Probability

Subsequently Dr Ur Koumba holds a Master degree in Financial Economics and he is extensively working on solving Financial problems through mathematical modelings. His expertise in financial economics is groomed through the knowledge of:

  • Macroeconomics and Business Fluctuations
  • Theory of Financial Markets
  • Derivative Securities
  • Behavioral Finance
  • High Frequency Data analysis
  • Financial econometrics
  • Portfolio Theory and Risk Management
  • Stochastic Process
  • International Finance
  • Equity and fixed Income Markets.

Courses Presented

  • Calculus (MATM1534)
  • Calculus Algebra (MATM2664)
  • Introduction to Advanced Mathematics (MATM1622)
  • Extended Program in Mathematics (MATD1584)

Community Service

  • Mathematics Olympiads Coach and Moderator (Maluti TVET College)
  • Member of the African Diaspora Forum
  • Member of the Gabon Diaspora in SA

Service Learning



Elfrieda van den Berg (Marketing Manager)
T: +27 51 401 2531


Dilahlwane Mohono (Faculty Officer)
T: +27 58 718 5284

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