Sponsors:

 2. Biomathematics:

• Mathematics motivated by biological applications: dynamical systems, PDEs, impulsive PDEs, interval analysis, validated numerics, nonstandard finite difference method, image analysis.
• Mathematical epidemiology of human infectious diseases: modelling, analysis, reliable numerics and impact on health policy

3. Order and convergence theoretic methods for nonlinear PDE’s

Sponsor:
National Research Foundation (NRF)
Leader and associated staff:
Prof R Anguelov, Prof EE Rosinger, Dr JH van der Walt
Involved PhD and/or MSc students with their supervisors (past 5 years):
FD Agbebaku (PhD): Dr JH van der Walt (Supervisor), completed MSc in 2011

See also Universal PDE solution space

4. Image analysis

Sponsor:
Council for Scientific and Industrial Research (CSIR)
Leader:
Prof R Anguelov
Involved PhD and/or MSc students with their supervisors (past 5 years):
IN Fabris-Rotelli (completed PhD in 2012): Prof R Anguelov (Supervisor)

5. Mathematics education

• Assessment
• Visualisation
• Transition to University
• Conceptual and procedural thinking
• Web-based teaching
• Trends in enrolment
• Conceptions about mathematics

Sponsors:
National Research Foundation (NRF)
Swedish International Development Cooperation Agency (SIDA)
Leader and associated staff:
Prof AF Harding, Ms A Verwey, Mrs K Bothma, Mrs Y Dinga, Mr HZ Wiggins, Mrs B Yani
Involved PhD and/or MSc students with their supervisors (past 5 years):     
T Masimura (MSc):  Prof AF Harding (Supervisor)
MD Madibane (MSc):  Prof AF Harding (Supervisor), Prof JC Engelbrecht (Co-supervisor)
A Billman (MSc):  Prof AF Harding (Supervisor), Prof JC Engelbrecht (Co-supervisor)
K Bothma (MSc):  Prof AF Harding (Supervisor), Prof JC Engelbrecht (Co-supervisor)
HZ Wiggins (PhD):  Prof AF Harding (Supervisor), Prof JC Engelbrecht (Co-supervisor), Prof WL Fouché (Co-supervisor)
BM Yani (PhD):  Prof AF Harding (Supervisor), Prof JC Engelbrecht (Co-supervisor)
BLK Mofolo-Mbokane (completed PhD in 2011): Prof JC Engelbrecht (Supervisor), Prof AF Harding (Co-supervisor)

6. Zeros of orthogonal polynomials

Sponsors:

National Research Foundation (NRF): Thuthuka Grant
KIC Grant University of Pretoria (ad hoc grant)
Abdus Salam International Centre for Theoretical Physics (Italy) (ICTP)
Postdoctoral Fellowship (UP)

Leader and associated staff:
Prof KH Jordaan, Dr AS Jooste, Dr P Gochhayat (Postdoctoral Fellow)
Involved PhD and/or MSc students with their supervisors (past 5 years):
MY Legesse (MSc): Prof KH Jordaan (Supervisor) AS Jooste (Co-supervisor)
AS Kelil (PhD): Prof KH Jordaan (Supervisor)
Lindie du Toit (completed MSc in 2012):  Prof KH Jordaan (Supervisor)
AS Jooste (completed PhD in 2012):  Prof KH Jordaan (Supervisor)
N Mbuyi Cimwanga (completed PhD in 2009): Prof KH Jordaan (Supervisor) Prof Kathy Driver (Co-supervisor)  

7.The Radon-Nikodym Property (RNP) for tensor norms as well as the operator space analogue of the RNP

Leader:
Dr SM Maepa
Involved PhD and/or MSc students with their supervisors (past 5 years):
CB Ndumba (PhD): Dr SM Maepa (Supervisor)
OD Arogunjo (PhD): Dr SM Maepa (Supervisor)

8. Computational finance; Option replication methods; Market risk management & metrics

• Computational finance;
• Option replication methods;
• Market risk management & metrics

Sponsor:
UP Research Development Programme (RDP)
Leader and associated staff:
Prof E Maré, Dr R Kufakunesu, Dr AJ van Zyl
Involved PhD and/or MSc students (past 5 years):
Supervisor: Prof E Maré
B Feugang Nteumangne (PhD),
AK Ah Goo (MSc), F Babi (MSc), IP Barnett (MSc), RO Buhr (MSc):  Prof E Maré, P Diniz de Moura (MSc), MD Gonese (MSc), A Jordaan (MSc), C Kairinos (MSc), L Kelatwang(MSc), IM Lane (MSc), P Mentis (MSc), AM Ngugi (MSc), AGS Onanena (MSc), V Pataka (MSc), RB Rice (MSc), TC Sebolai (MSc), R Sivnarain (MSc), BH Taljaard (MSc), JB van Biljon (MSc), F Youbi (MSc)
L Mabitsela (MSc): Dr R Kufakunesu  (Supervisor)
CO Britz (MSc):  Prof E Maré (Supervisor), Dr AJ van Zyl  (Co-supervisor)

Completed MSc degrees
A Ostaszewicz (2012): Dr AJ van Zyl (Supervisor), PF du Preez (2011): Prof E Maré (Supervisor), KV Klynsmith (2011): Prof E Maré (Supervisor), WC Kuys (2011): Prof E Maré (Supervisor), SJ le Roux (2009): Prof E Maré (Supervisor), C Milwidsky (2011): Prof E Maré (Supervisor), N Simpson (2011): Prof E Maré (Supervisor), PJ, Erasmus (2010): Prof E Maré (Supervisor), S Hariparsad  (2009): Prof E Maré (Supervisor)

9. Non-Archimedean mathematics: From fundamental science to applications 

Sponsor:
Swedish International Developement Cooperation Agency (SIDA)
Leader and associated staff:
Prof EE Rosinger, Dr JH van der Walt, Dr AJ van Zyl, Dr DV Moubandjo

10.Symplectic algebra via sheaf theory  

Leader and associated staff:
Dr PP Ntumba, Dr SM Maepa
Involved PhD and/or MSc students with their supervisors (past 5 years):
RM Mayala (MSc): Dr PP Ntumba (Supervisor)
BY Yizengaw (PhD): Dr PP Ntumba (Supervisor), completed MSc in 2012
C Ndipingwi (PhD): Dr PP Ntumba (Supervisor)
AC Anyaegbunam (completed PhD in 2010):  Dr PP Ntumba (Supervisor)

11. Finite geometries 

Sponsor:
National Research Foundation (NRF)
Associated staff:
Prof I Broere, Ms L du Toit, Mr MDV Matsoha, Prof LM Pretorius

Involved PhD and/or MSc students with their supervisors (past 5 years)
MDV Matsoha (PhD): Prof I Broere (Supervisor), completed MSc in 2013  
L du Toit (PhD): Dr T Vetrik (Supervisor), Prof I Broere (Co-supervisor)

12. Stochastic models of fluid dynamics 

Sponsor:
National Research Foundation (NRF): Unlocking the future
Leader and associated staff:
Prof M Sango, Dr G Deugoue (Postdoctoral Fellow: 2011-2013), Dr P  Razafimandimby (Postdoctoral Fellow: 2011-2013), Dr C Tadmon (Postdoctoral Fellow: 2011-2013), Dr JL Woukeng Feudjio (Postdoctoral Fellow: 2010-2012)
Involved PhD and/or MSc students with their supervisors (past 5 years):
CA Emereuwa (MSc): Prof M Sango (Supervisor) 
ZI Ali (PhD): Prof M Sango (Supervisor), completed MSc in 2011
MAY Mohammed (PhD): Prof M Sango (Supervisor)
TA Tegegn (PhD): Prof M Sango (Supervisor) 
Dr G Deugoue (completed PhD in 2010): Prof M Sango (Supervisor)
Dr P Razafimandimby (completed PhD in 2010): Prof M Sango (Supervisor)

13. Equations of evolution 

Sponsor:
National Research Foundation (NRF)
Associated staff:
Prof N Sauer, Mr WS Lee
Involved PhD and/or MSc students with their supervisors (past 5 years):
WS Lee (PhD): Prof N Sauer (Supervisor), Prof A Ströh (Co-supervisor)    
S Dziwa (MSc): Prof N Sauer (Supervisor)
MB Nene (completed MSc in 2013): Prof N Sauer (Supervisor)

14. Noncommutative ergodic theory and quantum dynamical systems  

Sponsor:
National Research Foundation (NRF)
Leader and associated staff:
Prof A Ströh, Mr MB King
Involved PhD and/or MSc students with their supervisors (past 5 years):
MB King (MSc): Prof A Ströh (Supervisor), Dr RdV Duvenhage (Co-supervisor) 
MM Snyman (completed MSc in 2013): Dr RdV Duvenhage (Supervisor), Prof A Ströh (Co-supervisor)
DW van Wyk (Completed MSc in 2014): Dr R Duvenhage (Supervisor), Prof A Ströh (Co-supervisor)

15. Abstract analysis and stochastics 

Sponsor:
National Research Foundation (NRF)
UP Research Development Programme (RDP)
Leader and associated staff:
Prof J Swart, Dr AJ van Zyl, Mr MT Richards
Involved PhD and/or MSc students with their supervisors (past 5 years):
MT Richards (MSc): Dr AJ van Zyl (Supervisor)
BM Yani (completed MSc 2012): Dr AJ van Zyl (Supervisor)    
RG Venter (completed PhD in 2010): Prof J Swart (Supervisor)     
AJ van Zyl (completed PhD in 2009): Prof J Swart (Supervisor) 
GI Fordred (completed PhD in 2009): Prof J Swart (Supervisor) 

16. Vibration analysis

Sponsor:
National Research Foundation (NRF)
Leader and associated staff:
Prof NFJ van Rensburg, Miss M Basson, Miss S du Toit, Ms B Stapelberg
Involved PhD and/or MSc students with their supervisors (past 5 years):
S du Toit (MSc): Prof NFJ van Rensburg (Supervisor) 
B Stapelberg (MSc): Prof NFJ van Rensburg (Supervisor)
JM van Niekerk (MSc): Prof NFJ van Rensburg (Supervisor)
RH Sieberhagen (PhD): Prof NFJ van Rensburg (Supervisor) 
M Basson (completed PhD in 2014): Prof NFJ van Rensburg (Supervisor), completed MSc in 2011
DJ Civin (completed MSc in 2010): Prof NFJ van Rensburg (Supervisor) 
M de Villiers (completed MSc in 2009): Prof NFJ van Rensburg (Supervisor)