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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

News Archive

Double achievement for Prof. Paul Grobler
2012-04-25

 

Prof. Paul Grobler
Photo: Supplied
25 April 2012

Early this year, two journal editions appearing almost simultaneously in Europe featured cover photographs based on papers by Prof. Paul Grobler of the Department of Genetics and his collaborators.

These papers stem from collaborations with Prof. Gunther Hartl at the University of Kiel (Germany) and Dr Frank Zachos from the Natural History Museum in Vienna (Austria). Both papers cover aspects of the genetics of southern African antelope species.
 
The first paper appeared in the Journal of Zoological Systematics and Evolutionary Research” (from the Wiley-Blackwell group). This was titled “Genetic structure of the common impala (Aepyceros melampus melampus) in South Africa: phylogeography and implications for conservation”.
 
In this paper, the team analysed impala from various localities in South Africa to determine the relationship between distribution and genetic structure. The results suggest a clear relationship between genetic characteristics and habitat features that regulate gene flow.
 
The second appeared in the journal Mammalian Biology (from the Elsevier group), with the title “Genetic analysis of southern African gemsbok (Oryx gazella), reveals high variability, distinct lineages and strong divergence from the East African Oryx beisa”.
 
Here, the researchers looked at various aspects of the genetics and classification of gemsbok. Among the notable findings is that gemsbok populations on the game farms studied are less inbred than previously predicted.
 
Proffs. Grobler and Hartl initiated these projects on gemsbok and impala, with sub-sections of the research later completed as M.Sc. projects by students from both South Africa and Germany.
 
Prof. Grobler has been involved with aspects of the population genetics of various mammal species since the early 1990s, and continued with this line of research after joining the UFS in 2006. Current projects in this field include work on wildebeest, vervet monkeys and white rhinoceroses.

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