High spin states of nuclei in the vicinity of neutron shell closure N =82 and proton shell closure Z =82 have been studied using the Clovere Ge detectors of Indian National Gamma Array. The shape driving effects of proton and neutron unique parity intruder orbitals for the structure of nuclei around the above shell closures have been investigated using light and heavy ion beams. Lifetime measurements of excited states in ¹³⁹Pr have been done using pulsed-beam-γ coincidence technique. The prompt spectroscopy of ²⁰⁷Rn has been extended beyond the 181μs 13/2⁺ isomer. Neutron-rich nuclei around ¹³²Sn have been produced from proton induced fission of ²³⁵U and lifetime measurement of low-lying states of odd-odd ¹³²I have been performed from offline decay.