Peterson spent much of his childhood in stables with his father, a horse trainer who trained the likes of Seattle Slew.

[1] Peterson chose not to sign with the Boston Red Sox and instead enrolled at the University of Oregon, where he played college baseball for the Ducks.

[25] In 2022, Peterson made 28 appearances (19 starts) for the Mets, registering a 7–5 record and 3.83 ERA with a 126 strikeouts across 105+2⁄3 innings pitched.

[26] Peterson made 27 appearances (21 starts) for New York in 2023, pitching to a 3–8 record and 5.03 ERA with a career–high 128 strikeouts in 111.0 innings of work.

[27] Following the season on November 8, 2023, Peterson underwent surgery to repair a damaged labrum in his left hip, with an expected recovery time of six–to–seven months.

[29] On September 3, Peterson struck out a career-high 11 batters on his 29th birthday in a 7–2 Mets victory over the Boston Red Sox.

[31] On October 3, Peterson pitched a scoreless 9th inning against the Milwaukee Brewers in Game 3 of the 2024 National League Wild Card Series to record the first save of his professional career.

[32] On October 9, Peterson earned his first postseason win after pitching 2.1 innings of scoreless ball against the Philadelphia Phillies in Game 4 of the National League Division Series.