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Department of Mathematical Sciences

Research

Quantum Field Theory

Quantum Field Theory provides the foundation for modern physics. It consists of a set of tools that are still being developed in order to describe a quantum theory, the concept of a field and the principle of relativity which are cornerstones of elementary particle physics, but also of nuclear, atomic, condensed matter and astrophysics. It is also inextricably linked to a consistent description of String Theory, and in this context in particular, has led to new bridges between physics and mathematics that we explore within CPT.

String Theory and Gravity

String theories are quantum theories where the fundamental object is a one dimensional string. They offer a consistent, unified and finite quantum description of the gauge forces and gravity. Our research involves perturbative and non-perturbative aspects of string theory, especially recent developments involving branes.

Cosmology

Cosmology is the study of the large scale properties of the universe as a whole, its origin, evolution and fate. The prevailing theory about the origin and evolution of our Universe is the so-called Big Bang theory. We have a particular interest in bold ideas such as extra-dimensions, modified gravity models and superstring cosmology.

Solitons in Field Theory

Solitons are stable non-singular finite-energy solutions, which appear in a variety of non-linear systems, both classical and quantum. Their stability is often assured by a conserved topological charge. We study models which possess such solitonic solutions, for example models with monopoles, hopfions, skyrmions and vortons. Solitons and related topological objects are often involved in our other areas of research as well.