Sinha is currently a professor at the Indian Institute of Science Education and Research, Mohali and works in the field of nonlinear physics. Her research areas include Nonlinear Dynamics, Chaos, Complex Systems, Networks, and Computation. She is an Editor of the AIP journal Chaos: An Interdisciplinary Journal of Nonlinear Science and Associate Editor of Communications in Nonlinear Science and Numerical Simulation (Elsevier). She is also on the Editorial Boards of Pramana - Journal of Physics and Indian Journal of Physics.