Supervisor

Topic

Dr Chimere Anabanti

• All groups of size less than 60 are soluble

• Group partitions yielding lower bounds for Ramsey numbers

• Investigating the influence of the number of Sylow subgroups

• On the maximum number of subgroups of nite groups

Prof Roumen Anguelov

• Mathematical modelling and analysis of inhibition of signaling pathways in cancer cells

Prof Jacek Banasiak

• Lyapunov stability theorems, their generalizations and inverses

• Monotone dynamical systems and applications

Dr Taboka Chalebgwa

• The polynomial method in additive number theory

Dr Daniel Fresen

• High dimensional geometry

Dr Manjunath Gandhi

• Data-driven Molecular Dynamics Modeling

• Discovering equations from data

• Rate-induced tipping in dynamical systems

• Study of Chaotic Dynamics

Dr Alta Jooste

• Orthogonal Polynomials and Computer-Algebra

• Orthogonal Polynomials and Finances

• Stochastic processes and their connection with orthogonal polynomials

• The Hermite polynomials and their applications

• The use of orthogonal polynomials in Approximation theory

• Zeilberger’s Algorithm

Dr Ruaan Kellerman

• Alternative proofs of the compactness theorem in first-order logic

• A Zero-One Law For Graphs

• Does the Collatz-Algorithm show chaotic behaviour?

• The Polya Enumeration Theorem

Dr Rodwell Kufakunesu

• Energy Options

• Optimal Investment

Dr Madelein Labuschagne

• Modeling a Piano

Dr Tung Lê

and

Dr Yash Madanha

• Representation theory

Dr Lesedi Mabitsela

• Exploring the Brownian motion

Dr Mokhwetha Mabula

• Relationship between topology and order

• Widely supersouble groups

Dr Gaza Maluleke

• The RSA modulus

• Wiener’s Attack on the RSA

Dr Mathibele Nchabeleng

• Similarity solution for a pre-existing fluid-driven fracture in a permeable medium

• Numerical techniques and solutions for Cauchy-type singular integral equations of the first kind

Dr Valisoa Rakotonarivo

• Nordhaus-Gaddum type inequalities​

• The Wiener index and its variants for the class of trees​

Dr Chris Schwanke

• Extensions of Positive Operators

• The Riesz-Kantorovich Formulas

Dr Maya Thackeray

• Applications of generating functions

• L-series and primes in arithmetic progressions

Prof John van den Berg

• The Artin-Wedderburn Theorem

Prof Jan Harm van der Walt

• Prof Baire's Marvelous Category Theorem

• The Riesz Representation Theorem

• Weak solutions of parabolic and hyperbolic partial differential equations

Prof Jan Harm van der Walt

and

Dr Marten Wortel

• The Homeomorphic Measures Theorem

Prof Gusti van Zyl

• Duality and Arbitrage

Dr Jamie Wannenburg

• Projective Geometry and Relevance Logic

Dr Marten Wortel

• Quaternion linear algebra​