[4] Upon graduating from the University of Texas at Austin with degrees in History, Government, and a teaching certificate,[5] David auditioned for a job doing rotoscope animation on Richard Linklater's A Scanner Darkly which he heard about through a weekly sketch group he attended in college.

[6] He got the animation job and credits this experience on A Scanner Darkly for showing him "how versatile a digital toolset can be".

[7] David draws primarily digitally,[8] and his first published comic book illustration work was in Archaia's original graphic novel, Syndrome with writers Daniel Quantz and R. J. Ryan in 2010, followed by Days Missing Vol.

[6] Shortly after, he began drawing Marvel's original graphic novel, Fantastic Four: Season One with writer Roberto Aguirre-Sacasa, published in 2012.

In 2020 Marquez drew Bendis's story titled "The Master Class" for Detective Comics' 1027th issue.