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27 May 2022 | Story Leonie Bolleurs | Photo Charl Devenish
Prof Tomas Vetrik
Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics, recently delivered his inaugural lecture on the UFS Bloemfontein Campus.

Prof Tomas Vetrik, Professor in the Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), recently delivered his inaugural lecture on the Bloemfontein Campus.

His research area is graph theory, and he mainly focuses on the degree-diameter problem, graph indices, and metric dimension of graphs.

Research focus

According to Prof Vetrik, mathematics was always his favourite subject in school. He also excelled in maths at university and decided to enrol for a course on graph theory while working on his master’s degree. “I liked it, so I also chose topics from graph theory for my PhD thesis,” he says.

In 2014, at the age of 32, he was appointed Associate Professor at the UFS, after postdoctoral research at the University of KwaZulu-Natal and working at the University of Pretoria. An NRF-rated researcher, he has published close to 75 research papers, a third of that as a single author in some of the most well-known journals in his area. Moreover, he was also research supervisor of three PhD and three master’s students.

International collaborations

In the eight years since his appointment at the UFS, Prof Vetrik has made research visits to universities from 14 different countries that have invited him for research collaborations. 

“I am often overseas. I like working from different places. It is interesting to me, and it helps me to be productive,” says Prof Vetrik, explaining some of the inspiration behind his mathematical ideas.

In the next two years, he would like to study more general mathematical problems beyond his current research area.

He says he is addicted to his research. “It overshadows all my other interests.” 

On the rare occasion when he is not working on his research, Prof Vetrik states that he has to keep himself busy. Unable to relax and do nothing, he likes to do sports of some kind or to travel. 

“I am a simple person. I do not even have a TV at home. I use an old-fashioned mobile phone that cannot access the internet,” he says.


News Archive

Dr Abdon Atangana cements his research globally by solving fractional calculus problem
2014-12-03

 

Dr Abdon Atangana

To publish 29 papers in respected international journals – and all of that in one year – is no mean feat. Postdoctoral researcher Abdon Atangana at the Institute for Groundwater Studies at the University of the Free State (UFS) reached this mark by October 2014, shortly before his 29th birthday.

His latest paper, ‘Modelling the Advancement of the Impurities and the Melted Oxygen concentration within the Scope of Fractional Calculus’, has been accepted for publication by the International Journal of Non-Linear Mechanics.

In previously-published research he solved a problem in the field of fractional calculus by introducing a fractional derivative called ‘Beta-derivative’ and its anti-derivative called ‘Atangana-Beta integral’, thereby cementing his research in this field.

Dr Atangana, originally from Cameroon, received his PhD in Geohydrology at the UFS in 2013. His research interests include:
• the theory of fractional calculus;
• modelling real world problems with fractional order derivatives;
• applications of fractional calculus;
• analytical methods for partial differential equations;
• analytical methods for ordinary differential equations;
• numerical methods for partial and ordinary differential equations; and
• iterative methods and uncertainties modelling.

Dr Atangana says that, “Applied mathematics can be regarded as the bridge between theory and practice. The use of mathematical tools for solving real world problems is as old as creation itself. As written in the book Genesis ‘And God saw the light, that it was good; and divided the light from the darkness’, the word division appears here as the well-known method of separation of variables, this method is usually employed to solve a class of linear partial differential equations”.

“A mathematical model is a depiction of a system using mathematical concepts and language. The procedure of developing a mathematical model is termed mathematical modelling. Mathematical models are used not only in natural sciences, but also in social sciences such as economics, psychology, sociology and political sciences. These models help to explain systems and to study the effects of different components, and to make predictions about behaviours.”

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