He introduced themes that are common to many selection principles and is responsible for the Scheepers diagram.
He completed his Ph.D.[1] thesis entitled The Meager-Nowhere Dense Game at the University of Kansas under the supervision of Fred Galvin.
In 2016 he was part of a group at BSU that started an interdisciplinary course called Transdisciplinary Research Methods.
[3] In 2019 Scheepers was one of the coaches for BSU's elective Vertically Integrated Projects including Portable Secure Devices,[4] a team aiming to develop methods to mitigate cyber-threats against active implantable medical devices.
[5] The National Science Foundation has funded his research and curriculum activities on several occasions, including in 2005 for Crypto Systems in Ciliates