The phrase "represent oneself as" can be described using a range of synonyms. Some of the common synonyms for this phrase include portraying oneself as, presenting oneself as, claiming to be, impersonating, masquerading as, and passing oneself off as. Each of these synonyms conveys a slightly different meaning and can be used in a variety of contexts. For example, you might use the term "portray oneself as" when describing how someone is trying to create a particular image or persona. On the other hand, "impersonating" implies a deliberate attempt to deceive or mislead others. Overall, these synonyms provide a range of ways to describe the act of portraying oneself in a particular way.