# Research Areas

#### Algebraic geometry, number theory and cryptography

Number theory, algebraic geometry, information and communication, circuits, associative rings and algebras, topological groups, lie groups, algebraic topology

#### Combinatorics, discrete mathematics, geometry and logic

Mathematical logic and foundations, combinatorics, order, lattices, ordered algebraic structures, geometry, convex and discrete geometry, differential geometry, computing methodologies and applications

#### Industrial mathematics (biology, computer science, energy, finance, geoscience, medicine, planet Earth)

Applied mathematics: Biology and other natural sciences, game theory, economics, social and behavioural sciences, geophysics, operations research, mathematical programming, computer science, machine learning, artificial intelligence. Mathematics of the planet Earth.

#### Mathematical finance

Computational methods, energy price modelling, exotic derivative pricing, portfolio optimization, simulation technologies

#### Pure and applied analysis and mathematical physics

Complex variables and analytic spaces, functional analysis, operator theory, linear and multi-linear algebra; matrix theory, ordinary differential equations, partial differential equations, difference and functional equations, operator theory, calculus of variations and optimal control, optimization, probability theory and stochastic processes, numerical analysis, functional analysis, differential geometry, global analysis, analysis on manifolds, mechanics of particles and systems, quantum theory, information and communication circuits

#### Statistics, big data analysis, and applications to biology, medicine, finance, and the energy industry

Statistics, causal inference, Bayesian methods, biostatistics, big data analytics, empirical likelihood, extreme-value analysis, infectious disease modelling,lifetime data analysis, methods for high-dimensional data, pseudo and composite likelihood methods, semiparametric and nonparametric models, statistical learning and data mining, survival analysis

### Institutes, centres and groups

Our institutes, centres and groups align with the strategic research goals of the university, the Faculty of Science, and the Department of Mathematics and Statistics.

### Faculty of Science Grand Challenges

Research that fuels innovation and pushes the boundaries of knowledge.

### Research Plan

The new knowledge we create through cutting-edge research results in societal impact, which produces an environment in which students can achieve their potential and flourish.