Williams went to St. Michaels University School in Victoria, Canada,[1] at the same time as Leslie Hope, Andrew Sabiston, Kenneth Oppel, and Bert Archer.

It feature a cast of 54 including B.A.P's Daehyun and BTOB's Changsub alongside famous musical actors such as Lim Tae Kyung, Michael Lee, and Han Ji Sang.

In September 2022 Napoleon was translated into French and a large scale tribute concert was performed in Seoul, Korea.

Williams has scored numerous award-winning feature films including A24's Pearl, Bagman, Finding You, Brightburn, Wild Horses, written, directed and starring Robert Duvall, Josh Hartnett and James Franco; "We Summon The Darkness", Disney Jr.'s "Piney The Lonesome Pine", starring Jonathan Pryce and Simon Pegg, Walking with the Enemy, starring Ben Kingsley, the score for which was on the eligible list for the 2015 Academy Awards, and won Best Picture at FLIFF, I.T.

2, It, Premium Rush, Green Hornet, The Way, The Day The Earth Stood Still, Halloween, Slither, and Half Past Dead.

Williams has orchestrated for Tyler Bates, Alan Menken, Stephen Schwartz, Robert Duncan, and Bruce Broughton.

Williams scored the Sony Animation/Netflix series Agent Elvis, AMC/Shudder Creepshow, the FOX pilot Richard Lovely, and the Disney pilot Madison High and additional music on the Cartoon Network animated series Sym-Bionic Titan, ABC's Missing as well as Fox's The Exorcist, Season 2.

Timothy arranged the music for the opening of Shanghai Disneyland, which was later turned into "Lunar New Year" for the "World of Color Show" at California Adventure.