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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

Oxford professor unlocks secrets of DNA
2017-03-31

Description: Oxford professor unlocks secrets of DNA Tags: Oxford professor unlocks secrets of DNA

From left are: Dr Cristian Capelli, Associate Professor
of Human Evolution at Oxford University;
Dr Karen Ehlers, Senior Lecturer and Prof Paul Grobler,
both from the Department of Genetics at the UFS.
Photo: Siobhan Canavan

Many people are interested to know more about their history and origins, and with the help of genetics, it is possible to provide more information about one’s roots.

During a lecture at the Department of Genetics at the University of the Free State (UFS), Dr Cristian Capelli, Associate Professor of Human Evolution at Oxford University in the UK, addressed staff members and students on the history of our species.

Reconstructing the history of human population
With his research, titled: People on the move: population structure and gene-flow in Southern Africa, Dr Capelli looks at reconstructing the history of human populations, focusing mainly on how the different human populations are related, as well as how they exchange genes.

He said this research could be of great significance to the medical field too. “Knowing what the genetic make-up of individuals is, can give us some information about their susceptibility to diseases, or how they would react to a given medicine. Therefore, this knowledge can be used to inform health-related policies.”

Combining individual histories of multiple people
To understand this research more clearly, Dr Capelli explained it in terms of DNA and how every individual receives half of their DNA from their mother and half from their father just as their parents had received theirs from their parents. And so it goes from generation after generation. Each individual stores a part of their ancestors’ DNA which makes up the individual genetic history of each person.

“If we combine these individual histories by looking at the DNA of multiple people, we can identify the occurrences that are shared across individuals and therefore reconstruct the history of a population, and in the same way on a larger scale, the history of our own species, homo sapiens.

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