In recent years it has become clear that the scattering matrix of massless particles is a very special object. Massless particles are the backbone of our best theory of nature; the Standard Model of particle physics and gravity. In 2003, Witten succeeded in combining twistor theory and string theory to produce a new formulation for the scattering matrix of gauge bosons - massless particles of helicity plus or minus one. Since then finding a similar formulation for gravitons - particles with helicity plus or minus two - has been a very important open problem. In 2012, in collaboration with Y. Geyer (a PSI student), I found one such formulation. Not long after this first formulation was found, I found a second one with D. Skinner (a PI postdoctoral fellow). All these constructions are based on four dimensional kinematics. A natural question is whether similar constructions can be found in any dimension. Such a general formulation could lead to a deeper understanding of field theory in general. In 2013 and in collaboration with E. Yuan (a PI graduate student) and S. He (a PI postdoctoral fellow), I found such a construction. This is now known as the CHY construction and it gives tree-level scattering matrices of a variety of theories, including gluons and gravitons, in any dimensions as integrals over the space of n-punctured spheres. This new formulation has become an active area of research. In 2014 our group found CHY representations for theories such as Dirac-Born-Infeld and Galileons. Very recently we have found extensions of the theory of pions using soft limits which were previously hidden and become manifest using their CHY formulation.