[1] A two-time Tony Award for Best Choreography recipient, he won in 2018 for the revival of Rodgers and Hammerstein's Carousel and in 2024 for the Sufjan Stevens original dance musical, Illinoise.

On film, Peck choreographed the dance sequences for Steven Spielberg musical adaptation West Side Story (2021) and Bradley Cooper's biographical drama Maestro (2023).

[4] At New York City Ballet, Peck has danced extensive repertoire, performing in existing and new works by George Balanchine, Jerome Robbins, Peter Martins, Benjamin Millepied, Alexei Ratmansky, Lynne Taylor-Corbett, and Christopher Wheeldon.

[citation needed] Alastair Macaulay, the chief dance critic at The New York Times, described Peck in an article as "the third important choreographer to have emerged in classical ballet this century.

[11][12] Peck has worked with composers Sufjan Stevens, Bryce Dessner (of the band The National), Caroline Shaw, Dan Deacon, Steve Reich, and Philip Glass.

He has also collaborated with visual artists Shepard Fairey, Marcel Dzama, Sterling Ruby, John Baldessari, Steve Powers, George Condo; fashion designers Humberto Leon (Opening Ceremony, Kenzo), Dries Van Noten, Tsumori Chisato, Mary Katrantzou, and Prabal Gurung; and directors Steven Spielberg, Sofia Coppola, Damian Chazelle, and Jody Lee Lipes.

[24] A few years later Peck worked on Bradley Cooper's biographical drama Maestro (2023) about the complicated marriage between the composer Leonard Bernstein and his wife Felicia Montealegre.

"[25] In 2023 Peck adapted a musical production of Sufjan Stevens' 2005 concept album Illinois titled Illinoise, alongside playwright Jackie Sibblies Drury.

The production "weave[s] together delicate folk narratives about blossoming queerness, orchestral anthems destined for cinematic montages, and jazz tunes about the state’s ghost towns".