"At gaze" is a phrase that describes a person who is staring intently or gazing at something or someone. There are many synonyms for "at gaze" that can be used to describe this action. One synonym is "fixedly," which implies a steady and unblinking stare. Another synonym is "intently," which emphasizes the focused and concentrated nature of the gaze. "Raptly" is another option, suggesting a deep involvement or absorption in the object of the gaze. "Studiously" and "attentively" both suggest a careful and deliberate examination of the subject being observed. Ultimately, the choice of synonym will depend on the context and tone of the sentence.