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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

UFS researcher engineers metal surfaces
2015-03-03

Shaun Cronjé, a PhD student, in a surface characterisation laboratory at the UFS.

It is well known that the surface of a component is much more vulnerable to damage than the interior, and that surface-originated degradation such as wear, corrosion, and fracture will eventually destroy the component.

“Engineering the surface, based on scientific knowledge, is essential to control these damaging processes. It also creates electronic and geometric structures on the surface which opens up a world of new devices, especially considering the properties on the nano-length scale,” said Prof Wiets Roos from the Department of Physics at the University of the Free State (UFS).

At elevated temperatures, atoms are more mobile and can migrate to grain boundaries and surfaces, which have a major influence on material properties. The redistribution of solute atoms between the surface and the bulk of the material is known as segregation. Knowing the behaviour of segregation at the surface/environment interface can be very useful in the development of new materials. As an example materials can be improved higher efficiency and lower fuel consumption, thus reducing environmental pollution.

The main aims of Prof Roos’s research are to understand surface segregation, use it as a tool, and contribute to the various surface engineering fields.

The surface characterisation laboratories at the UFS are well equipped to do high temperature segregation measurements, and have already proven a success, not only in the ability to prepare the specimens for characterisation, but also in developing models and procedures to quantify the segregation parameters.

The most recent results have demonstrated the importance of taking evaporation into account during quantification.” This has laid the foundation for future studies by installing the necessary hardware in a surface characterisation spectrometer, establishing experimental protocols, and improving an existing model (developed in this laboratory) for simulating segregation profiles,” said Prof Roos.

Segregation parameters allow the researcher to predict and utilise the surface concentration behaviour as a function of temperature and time. “This not only contributes to fields involving corrosion, oxidation, sintering, wear, chemical poisoning, powder metallurgy, and lubrication but adds to the development of self-healing devices,” said Prof Roos.

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