Connor may be best known for his choreography in Beetlejuice, which opened on Broadway in 2019. The show's success was partly attributed to Gallagher's imaginative and energetic dance numbers, which brought the quirky and supernatural elements of the story to life.
Gallagher's Broadway credits also include The Robber Bridegroom, where he received critical acclaim for his inventive and spirited choreography. His work on Found further demonstrated his versatility and ability to adapt his style to different genres and narratives.
In addition to his Broadway successes, Gallagher has contributed to numerous Off-Broadway and regional theatre productions. His work on Pride and Prejudice at TheatreWorks and The Twelve at Denver Center for the Performing Arts have been particularly praised.