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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.

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Two scientists part of team that discovers the source of the highest energy cosmic rays at the centre of the Milky Way
2016-03-22

Description: Giant molecular clouds  Tags: Giant molecular clouds

Artist's impression of the giant molecular clouds surrounding the Galactic Centre, bombarded by very high energy protons accelerated in the vicinity of the central black hole and subsequently shining in gamma rays.
Artist's impression: © Dr Mark A. Garlick/ H.E.S.S. Collaboration

Spotlight photo:
Dr Brian van Soelen and Prof Pieter Meintjes of the UFS Department of Physics.
Photo: Charl Devenish

H.E.S.S. (High Energy Stereoscopic System) scientists publically revealed their latest galactic discovery in the international science journal, Nature, on 16 March 2016. These scientists were able to pinpoint the most powerful source of cosmic radiation – which, up to now, remained a mystery.

Part of this team of scientists are Prof Pieter Meintjes and Dr Brian van Soelen, both in the University of the Free State (UFS) Department of Physics. Dr Van Soelen explains that they have discovered a proton PeVatron – a source that can accelerate protons up to energies of ~1 PeV (10^15 eV) – at the centre of the Milky Way. The supermassive black hole called Sagittarius A has been identified as the most plausible source of this unprecedented acceleration of protons.

The protons are accelerated to Very High Energy (VHE) gamma rays. The energy of these protons are 100 times larger than those achieved by the Large Hadron Collider at CERN (the European Organization for Nuclear Research).

According to Dr Van Soelen, the fact that this research has been published in Nature demonstrates the importance and pioneering nature of the research conducted by H.E.S.S. The H.E.S.S. observatory – operational in Namibia – is a collaboration between 42 scientific institutions in 12 countries.

In 2006, H.E.S.S. was awarded the Descartes Prize of the European Commission – the highest recognition for collaborative research – and in 2010 the prestigious Rossi Prize of the American Astronomical Society. The extent of the observatory’s significance places it among the ranks of the Hubble Space Telescope and the telescopes of the European Southern Observatory in Chile.

“The next generation VHE gamma-ray telescope,” Dr Van Soelen says, “will be the Cherenkov Telescope Array (CTA), which is currently in the design and development stage.” Both Dr Van Soelen and Prof Meintjes are part of this project as well.

H.E.S.S. has issued a complete statement about the paper published in Nature.

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