# Research

Mathematics has a beauty all of its own, but it is also the language of other exact sciences, such as physics. In turn, physics studies the most fundamental laws governing the entire world around us from sub-nuclear scales to the horizons of the Universe. Both mathematics and physics are also the cornerstones for all technological advances of our civilization.

The School is on the forefront of research in both of these fields and is developing its base as an internationally leading centre with a distinctive research portfolio.

# Research Areas

****Algebra Group

Pure Mathematics in the School is focused on Group Theory and Theory of Lie Rings. One of the most important concepts of modern algebra, groups appear throughout mathematics, and as measures of symmetry, groups are used in physics and in materials science.

Our research aims to achieve greater commutativity of important classes of groups, and developing novel Lie Rings methods in the study of abstract groups.

## Computational Physics Research Group

The School is home to the Computational Physics Group, with research encompassing computational and theoretical physics as well as applied mathematics of nano-structured soft matter, solid/soft matter interface, molecular biophysics and biologically inspired systems.

The group aims to understand the self-assembly of such systems, their intricate dynamics and complex patterns, which can aid in the design of smart materials of the future.

Main image taken from *Soft Matter Science is Art,* designed by Dr Marco Pinna. This picture now features as part of a 2013 Calendar and can be found at http://www.softmatterworld.org