Name the playwright who has written Gallathea?

The correct option is John Lyly.

Gallathea is a famous Elizabethan play written by the English writer and dramatist John Lyly. It is estimated to have been written around 1583–1585 and was officially published in 1592.

The play is a pastoral comedy that draws heavily from classical mythology, particularly Ovid's Metamorphoses. It is renowned for its themes of love, transformation, and gender disguise, which later influenced other Renaissance playwrights including William Shakespeare. John Lyly, as one of the prominent "University Wits," established a sophisticated prose style in English drama, and Gallathea stands as one of his major dramatic works.