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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

Unconventional oil and gas extraction – study for Water Research Commission reveals possible impacts
2014-11-05

 

Photo: Legalplanet.org
The Centre for Environmental Management (CEM) at the University of the Free State (UFS) recently completed a three-year project for the Water Research Commission. The purpose was to develop an interactive vulnerability map and monitoring framework for unconventional oil and gas extraction (final report still to be published).

Due to the complexity of this field, a number of participants across different disciplines and universities were involved in this trans-disciplinary study. Contributors included the Departments of Sociology, Physics and Mathematical Statistics from the UFS, the University of Pretoria Natural Hazard Centre, Africa, as well as the Institute of Marine and Environmental Law from the University of Cape Town.

Unconventional oil and gas extraction, its related impacts and the management of this activity to ensure environmental protection, is a controversial issue in many countries worldwide. Since the extraction of oil and gas using unconventional techniques is an unprecedented activity in South Africa, the project focused on understanding this extraction process as well as hydraulic fracturing and identifying possible environmental and socio-economic impacts associated with this activity in the South African context. An understanding of the possible impacts could aid government during the development of policy aimed at protecting the environment.

The researchers subsequently identified indicators to develop an interactive vulnerability map for unconventional oil and gas in South Africa. The vulnerability map focuses on specific mapping themes, which include surface water, groundwater, vegetation, seismicity and socio-economics. In addition, the map provides information on the vulnerability of the specified mapping themes to unconventional gas extraction on a regional scale. This map is intended as a reconnaissance tool to inform decision-makers on areas where additional detail field work and assessments may be required. It can also be used during Environmental Impact Assessments and determining licensing conditions.

Lastly, a monitoring framework was developed, which describes monitoring requirements for specific entities – surface water, groundwater, vegetation, seismicity and socio-economics – for the different phases of unconventional oil and gas extraction. Such monitoring is an important part of environmental protection. It is especially important for South Africa to perform baseline monitoring before exploration starts to ensure that we will have reference conditions to identify what impact oil and gas extraction activities has on the biophysical and socio-economic environments.


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