Volovich's research interests include scattering amplitudes in quantum field theory and gravity. The goal of this research program is to deepen our understanding of fundamental properties of gauge and gravity theories by discovering and exploring the hidden mathematical structures of scattering amplitudes and to use these novel structures as much as possible to aid practical calculations for experimentally relevant processes. Her work includes applying polylogarithms to scattering amplitudes in N = 4 supersymmetric Yang–Mills theory. Along with her colleagues Goncharov, Spradlin, and Vergu, she managed to significantly simplify the expression for 6-point two-loop maximally-helicity-violating (MHV) amplitudes.