He is best known for his work on the animated series SpongeBob SquarePants (1999–present), beginning with his character development and design for its pilot episode, "Help Wanted".
He studied animation at the California Institute of the Arts.
Wiese served as a character layout artist, animation supervisor, and assistant director to John Kricfalusi at Spümcø, working on the animated Björk music video "I Miss You", and the Ranger Smith cartoons A Day in the Life of Ranger Smith and Boo Boo Runs Wild.
Wiese briefly worked in video games in 1995 as a storyboard and concept artist for Donald Starring in Maui Mallard and The Lion King.
In the 2010s, Wiese served as the storyboard supervisor and head of story on The SpongeBob Movie: Sponge Out of Water, a supervising producer on the French-British animated series Dude, That's My Ghost!, and as a writer for the unreleased Star Wars Detours.