Grok:
Yeah, Carson Beck has a **strong, long-standing connection** to Todd Monken.
Beck played under Monken at Georgia from 2020-2022, when Monken was the offensive coordinator (and QBs coach). In those years, Beck appeared in 34 games (mostly as a backup/spot starter early on, then more prominently), throwing for over 7,700 yards, 56 TDs, and 18 INTs in that span under Monken's system. Monken helped develop him significantly—Beck has said Monken "taught me a lot of what I know" and called him an "awesome coach and great guy."
Their relationship goes way back beyond college: Beck has known Monken personally since he was about 7 or 8 years old. He played youth baseball with Monken's son back when Monken was the wide receivers coach for the Jacksonville Jaguars.
As for a Natty (national championship) together: They overlapped at Georgia during the Bulldogs' back-to-back titles in 2021 and 2022, but Beck wasn't the starter then (Stetson Bennett was). Beck was part of those championship teams/rosters under Monken's offense, though he contributed more in later years.
Recently (at the 2026 NFL Combine), Beck spoke glowingly about Monken again, saying he'd be "super stoked" to reunite and play for him if drafted by the Browns (where Monken is now head coach). No direct "Natty" as QB1 under Monken, but the Georgia success and personal history are big ties—Beck's arm strength, accuracy, and lower-body improvements you mentioned align with the kind of QB Monken has coached/developed successfully (like at Georgia and with Lamar Jackson in Baltimore). Solid foundation there if teams are evaluating him.