# Mathematical Physics

The Institute for Advanced Physical Studies conducts research in the following areas of mathematical physics:

**General relativity**by exploring an approach for treating non-inertial frames of reference as well as by applying algebraic geometry to the solutions of Einstein’s equations**Soliton theory**by studying the solitonic interations as well as by using certain algebras as a tool for solving soliton equations**Theory of GPS**by estimating the “time transfer” between atomic clocks on satellites moving on adjacent orbits.

The main goal of theoretical and mathematical physics is to expand the boundaries of knowledge and provide a fundamental understanding of physical reality. Beside its internal development path, this subject also paves the way for discoveries and applications that influence our everyday lives. GPS technology, for instance, would not be possible without the existence of the general relativity, which explains how Earth’s gravity distorts space and time.

The physical phenomena urged the invention of new mathematical objects and techniques as is the case with the particularly important non-dissipative waves known as solitons. Their ubiquitous use spans from modeling of tsunamis to the special solitons called skyrmions which are promising candidates for data storage solutions as well as predicting hypothetical fermionic particles made only of bosons .