Organizers: Prof. Amartya Goswami (agoswami@uj.ac.za)
The CATL (Category Theory, Algebra, Topology, and Logic) special session encompasses all aspects of category theory; diverse branches of algebra (excluding finite group theory, representation theory, designs, geometries, and coding theory); all aspects of topology; and all aspects of mathematical logic. Abstracts for student presentations must be based on the student’s own submitted, accepted, or published research work. Consequently, each abstract must include the appropriate citations, such as an arXiv link for submitted manuscripts or comprehensive journal details for accepted or published work. Students who do not fulfil these requirements may still speak in the General Session.
Organizers: Dr. Zekhaya Benard Shozi (ShoziZ1@ukzn.ac.za) Dr. Sesuai Madanha (sesuai.madanha@up.ac.za) Prof. Dimbinaina Ralaivaosaona (naina@sun.ac.za) Prof. Peter Dankelmann (pdankelmann@uj.ac.za) Prof. Bernardo Rodrigues (bernardo.rodrigues@up.ac.za)
The session will cover all aspects of graph theory and combinatorics (structural and enumerative). Contributions in related areas, such as combinatorial number theory are welcome as well. In addition to the above, the session will cover topics related with Algebraic Coding Theory, Combinatorial Design Theory, Finite Geometries, Finite Groups and Representation Theory of Finite Groups.
Organizers: Prof CM Khalique (Masood.Khalique@nwu.ac.za)
Nonlinear differential equations describe many physical phenomena in optics, acoustics, fluid dynamics, plasma physics as well as other sciences and engineering fields. Thus, finding their solutions play a key role in understanding and interpreting the structure of these physical phenomena.
However, researchers have established several analytical and numerical techniques that can be utilized to solve nonlinear differential equations. Well-known techniques include the Lie symmetry method, the inverse scattering transformation approach, the Backland transformation method, Euler's method, and the Runge-Kutta method.
This special session will be dedicated to showcasing most recent progress in obtaining analytical and numerical solutions to nonlinear differential equations by various methods and to inspire collaborative research activities.
Organizers: Sanne ter Horst (Sanne.TerHorst@nwu.ac.za), Tshikhudo Lukoto, Satyabrata Majee
This special session is open to contributions from participants working in all areas of functional analysis, operator theory, and related topics (broadly interpreted); e.g., operator theory, operator algebras, abstract harmonic analysis, spectral theory, matrix analysis, and all areas of topological vector spaces. The aim is to bring together participants, ranging from leading researchers to early career academics, to present their work on recent developments in functional analysis and foster exchange of ideas and collaboration. Contributions on applications of functional analysis to related topics (e.g. probability theory, ergodic theory) are also welcome.
Organizers: Dr Thama Duba (thama.duba1@wits.ac.za)
Continuum mechanics remains central to modelling and understanding complex systems across science and engineering. As computational, artificial intelligence and data-driven methods continue to transform the field, new opportunities are emerging for addressing challenging problems in fluid dynamics, solid mechanics, biomechanics, and geophysical flows. This session welcomes contributions that bridge theory, computation, and applications while highlighting innovative approaches to continuum modelling. Particular emphasis will be on emerging techniques such as physics-informed neural networks (PINNs), machine learning and hybrid data-driven models that integrate governing physical laws with data to enhance predictive accuracy, computational efficiency and interpretability.
Organizers: Prof. Anita Campbell (anita.campbell@uct.ac.za)
We welcome submissions that explore current and emerging research in tertiary mathematics education, with a focus on issues that shape how students learn and succeed in university mathematics. Suggested focus topics are:
assessment for learning, and how assessment and feedback can be used to support mathematical learning;
technology and generative AI, and its implications for learning, teaching and assessment in mathematics; and
transition, student success and wellbeing, including how we can better support students as they navigate the transition to university mathematics and develop the confidence, engagement and capabilities needed to flourish.