Abstract: This talk presents our recent work on high-energy neutrinos. The first part is about our searches for high-energy neutrino emission from radio-bright active galactic nuclei (2103.12813), which were claimed by two papers last year to have a 4.1σ correlation with TeV--PeV astrophysical neutrinos detected by IceCube. The second part presents the W-boson and trident production, including their cross sections (1910.08090) and their promising detection prospects in IceCube and IceCube-Gen2 (1910.10720).