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In this talk, I will discuss two aspects of cosmic-string physics. First, I will present the gravitational-wave spectrum sourced by global cosmic-string networks. By modeling both long strings and loops, we derive the resulting signal using the unequal-time correlators of the string stress-energy tensor. Second, I will discuss the stability of superconducting strings at both the classical and quantum levels, and explore their cosmological implications, including possible consequences for the QCD axion.