Name the author/writer who is not associated with British Cultural Studies.

The correct option is I.A. Richards.

To understand why I.A. Richards is the correct answer, let's look at the background and key figures of British Cultural Studies:
British Cultural Studies emerged in the mid-20th century, particularly with the founding of the Centre for Contemporary Cultural Studies (CCCS) at the University of Birmingham in 1964. This field focuses on how culture is produced, distributed, and consumed, and how it relates to social power structures, class, and everyday life.

Let's analyze the associations of the writers listed in the options:
1. Richard Hoggart: He is one of the founding figures of British Cultural Studies. His seminal book The Uses of Literacy (1957) is a cornerstone text of the field, and he was the first director of the Centre for Contemporary Cultural Studies (CCCS).
2. Raymond Williams: Along with Hoggart, Williams is considered a founding father of British Cultural Studies. His works like Culture and Society (1958) and The Long Revolution (1961) laid the theoretical groundwork for cultural materialism.
3. Stuart Hall: He succeeded Richard Hoggart as the director of the CCCS in 1968. Hall played a major role in expanding the scope of the discipline to include issues of race, gender, media representation, and hegemony. He is one of the most influential figures associated with British Cultural Studies.

In contrast, I.A. Richards (Ivor Armstrong Richards) was an influential English literary critic and rhetorician. He is renowned as one of the founders of the school of New Criticism, which flourished in the early-to-mid 20th century. His work, such as Practical Criticism (1929) and Principles of Literary Criticism (1924), focused on the close reading of literary texts themselves rather than the broader socio-political and cultural contexts that define British Cultural Studies.

Therefore, I.A. Richards is the writer who is not associated with British Cultural Studies.