Hoggett gained early experience at a workshop with Volcano Theatre Company, based in Swansea. He then founded a physical theatre company in Wales called Frantic Assembly, with his friend and fellow student Scott Graham. The company's first production was a 1994 revival of John Osborne's classic Look Back in Anger, in which Hoggett directed, produced, and performed. The company staged numerous productions in their early years, especially at the Edinburgh Fringe Festival. Their unique blend of theatre and movement began to attract attention, and soon Frantic Assembly were producing large scale touring work and collaborating with some of the UK's biggest theatre companies. Hoggett would go on to direct and choreograph several shows for the company, including "Beautiful Burnout", an adaptation of Shakespeare's "Othello", "pool, no water", "Stockholm", "Little Dogs". He first worked with childhood friend John Tiffany while Tiffany was Associate Director at the Traverse Theatre, Edinburgh on a production of Gregory Burke's "The Straits" in 2003. The pair then went on to collaborate on what would be their biggest success to date, Gregory Burke's Black Watch, which was first produced by the National Theatre of Scotland at the Edinburgh Festival Fringe in 2006 The piece was an instant success, and would garner Hoggett the Laurence Olivier Award for Best Theatre Choreographer at the 2009 Laurence Olivier Awards, along with a slew of other awards. The show undertook several extremely successful international tours, including a stint at the St. Ann's Warehouse in Brooklyn, which would lead to Hoggett working on many new productions in the USA. These included American Idiot, Peter and the Starcatcher and Once, the musical adaptation of the hit independent film, directed by John Tiffany. Once earned more Tony nominations than any other production for the 2011-12 season. Hoggett also received a 2012 Obie Award special citation. His other recent productions include choreography for the National Theatre production of The Curious Incident of the Dog in the Night Time, which garnered the pair an Olivier nomination. With Tiffany, an adaptation of the Swedish vampire novelLet The Right One In for the National Theatre of Scotland, Tony Nominated Fight Choreography for Rocky The Musical and Sting's new musical The Last Ship., Hoggett provided choreography for a computer animated sequence in the DreamWorks feature film How To Train Your Dragon 2. On June 26, 2015 it was announced that he would be working on the Harry Potter stage play The Cursed Child with long time collaborator John Tiffany. He went on to be nominated for the 2017 Laurence Olivier Award for best choreography for his work on the production. The production transferred to Broadway in April 2018.
