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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

Fire as a management tool questionable in arid and semi-arid grassland areas
2015-03-24

Wild fire in the grassland
Photo: Supplied


The influence of fire on the ecosystem in the higher rainfall ‘‘sour’’ grassland areas of southern Africa has been well established. However, less information is available for arid and semi-arid ‘‘sweet’’ grassland areas, says Prof Hennie Snyman, Professor in the Department of Animal, Wildlife, and Grassland Sciences, about his research on the short-term impact of fire on the productivity of grasslands in semi-arid areas.

Sour and sweet grassland areas can be defined as receiving either higher or lower than approximately 600 mm of rainfall respectively. In quantifying the short-term impact of fire on the productivity of grasslands in semi-arid areas, a South African case study (experimental plot data) was investigated.

“Burned grassland can take at least two full growing seasons to recover in terms of above- and below-ground plant production and of water-use efficiency (WUE). The initial advantage in quality (crude protein) accompanying fire does not neutralise the reduction in half of the above-ground production and poor WUE occurring in the first season following the fire.

“The below-ground growth is more sensitive to burning than above-ground growth. Seasonal above-ground production loss to fire, which is a function of the amount and distribution of rainfall, can vary between 238 and 444 kg ha -1 for semi-arid grasslands. The importance of correct timing in the utilisation of burned semi-arid grassland, with respect to sustained high production, cannot be overemphasised,” said Prof Snyman.

In arid and semi-arid grassland areas, fire as a management tool is questionable if there is no specific purpose for it, as it can increase ecological and financial risk management in the short term.

Prof Snyman said: “More research is needed to quantify the impact of runaway fires on both productivity and soil properties, in terms of different seasonal climatic variations. The information to date may already serve as valuable guidelines regarding grassland productivity losses in semi-arid areas. These results can also provide a guideline in claims arising from unforeseen fires, in which thousands of rands can be involved, and which are often based on unscientific evidence.”

For more information or enquiries contact news@ufs.ac.za

 

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