Researcher: Dr Alla Detinko
Computational algebra is an innovative discipline interfacing mathematics and computer science. It focuses on the design and implementation of algorithms for algebra and its applications. In Hull, we design algorithms and software for symbolic computation with algebraic structures represented by matrices and permutations. These are applied to solve problems in mathematics and further afield via computer experimentation.
Researcher: Dr Wolfram Bentz
We examine how the advanced symmetries of a structure, which are encoded in its group of units or automorphisms, influence its properties. We do this by establishing connections between permutation groups, transformation monoids, graphs, and automata.
Researcher: Dr Siri Chongchitnan
We constrain the physics of cosmological inflation (a brief flash of exponential expansion in the early Universe) using a complementary suite of current and future observables.
Processes on complex networks
Researcher: Dr Sander Dommers
Large complex networks can be found everywhere, for example as social, information, technological and biological networks. Many of these networks share the property that they are scale-free i.e., the number of links of nodes have a power law distribution. At Hull, we use probability theory to investigate what the effect is of the scale-free nature of complex networks on processes on these networks, both in and out of equilibrium.
Researcher: Dr Richard Danyi
In fluid dynamics, the study of hydrodynamic instability aims to find out if a given flow is stable or unstable, and how instabilities cause the development of turbulence. At Hull, we investigate analytically the linearised equations of motion for absolute and global instabilities.