Who is the writer of play Ulysses?

The play "Ulysses" is not a well-known or widely performed play. There is no single, famous writer associated with a play called "Ulysses".

It's possible you're thinking of:

* The novel *Ulysses* by James Joyce: This is a famous modernist novel, not a play.

* A lesser-known play with the title "Ulysses": If this is the case, you'll need to provide more context or information about the play you're interested in.

Please clarify your question so I can help you find the writer you're looking for.