Final answer:
William Shakespeare is the author of Hamlet, and he performed many of his plays in London, particularly at the Globe Theatre, which he was part owner of during what is considered the Golden Age of Theatre.
Step-by-step explanation:
The author of Hamlet is William Shakespeare, a renowned English playwright and actor.
Shakespeare was closely associated with the London theater scene where he performed many of his plays.
He was not just a playwright but also an actor and a part-owner of the famous Globe Theatre.
In the course of his illustrious career, William Shakespeare presented the world with numerous plays that are celebrated to this day.
While his life in the late 1580s is somewhat shrouded in mystery, Shakespeare reemerges in historical records as an established actor and playwright in London by 1592.
This period highlights his dual role in the London theater as both playwright and performer, contributing significantly to what is often referred to as the Golden Age of Theatre.