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Millisecond pulsars are among the most precise natural clocks, offering unique opportunities to probe both fundamental physics and a broad range of high-energy astrophysical phenomena. By monitoring an array of these objects over decades, Pulsar Timing Arrays (PTAs) are enabling the detection and characterization of nanohertz gravitational waves while simultaneously providing powerful probes of the turbulent interstellar medium. In this talk, I will present our most recent research on high-precision pulsar timing, focusing on the development of statistical and signal-processing techniques to mitigate propagation effects, improve timing precision, and maximize the scientific return from long-term pulsar observations. I will highlight the contributions of the Indian PTA along with our global peers, and discuss how studies of the interstellar medium directly enhance the sensitivity of PTAs to low-frequency gravitational wave detection. Looking ahead, I will discuss the exciting opportunities offered by the Square Kilometre Array (SKA), particularly in the areas of pulsar timing and transient radio astronomy. I will also outline how these efforts complement India's expanding multi-messenger astronomy programme, where precision radio observations, gravitational-wave experiments, and time-domain astronomy are becoming increasingly interconnected. Together, these developments promise to address some of the most compelling questions in astrophysics - from the evolution of supermassive black hole binaries to the dynamic nature of the cosmos. |