Predicted soon after the discovery of the Z boson, coherent neutrino-nucleus elastic scattering (C \(\nu A_{el}\) ) is a Standard Model (SM) process in elementary particle physics. The observation of C \(\nu A_{el}\) is pivotal in advancing our understanding of the SM and exploring potential physics beyond it. The goal of the TEXONO experiment is to observe C \(\nu A_{el}\) of reactor electron-antineutrinos ( \(\bar{\nu }_{e}\) ) interacting with Germanium nuclei in the fully coherent regime. The TEXONO experiment, to study SM and beyond SM (BSM) aspects of C \(\nu A_{el}\) , employs state-of-the-art point-contact high-purity Germanium detectors with a threshold of \(\mathcal {O}\) (100 eV) at the Kuo-Sheng nuclear power plant. This work will outline our research activities and highlight the most recent advances in exploring SM and BSM physics with C \(\nu A_{el}\) .