The phrase "looks fixedly" is often used to describe someone who is gazing intently or staring without wavering. For more description and variety in written and spoken language, there are several synonyms that can be used in place of "looks fixedly". Examples of alternative phrases to convey this action include: staring intently, gazing steadfastly, scrutinizing closely, peering intently, observing intently, watching fixedly, eyeing closely, and studying intently. These words can provide texture and nuance to any text or conversation, conveying the intensity of the observer's focus and the subject they are studying.