Short answers, pulled from the story.
Ken Keeler was born in 1961 and earned a PhD in applied mathematics from Harvard University in 1990. He graduated summa cum laude in 1983 before completing his doctoral thesis on map representations and optimal encoding for image segmentation.
Ken Keeler proved the Keeler Theorem in the Futurama episode The Prisoner of Benda. This theorem addresses permutation groups and provides a method to return characters to their original states after swapping bodies, a discovery confirmed by collaborator David X. Cohen.
Ken Keeler wrote for The Simpsons, Futurama, The Critic, and Wings. He served as a co-executive producer for the first three years of Futurama and an executive producer for the fourth year, writing fourteen episodes including The Devil's Hands Are Idle Playthings.
Ken Keeler is a fan of Harry Stephen Keeler and has won the fifth and twelfth annual Imitate Keeler Competitions. His Futurama episode Time Keeps on Slippin' was partly inspired by the Harry Stephen Keeler story Strange Romance from the novel Y. Cheung, Business Detective.
Ken Keeler wrote the episode The Principal and the Pauper, which many fans and series creator Matt Groening disliked for its massive changes to Principal Skinner's backstory. He also wrote A Star Is Burns, an episode that Groening refused to be credited for because he opposed the idea of The Simpsons crossing over with The Critic.