Between 1978 and 1985, Schuh studied mechanical engineering and business administration at RWTH Aachen and earned his PhD in 1988 after a residency at WZL, where he worked as a senior engineer until 1990. He founded GPS GmbH and served as its chief executive until 1996. He has been the majority shareholder of Schuh GmbH down to the present. Between 1990 and 2002, he has been qualified as a professor at the University of St. Gallen and was simultaneously a member of the Board of Directors of the Institute for Technology Management. He held the professorial chair for production management between 1993 and 2002 at St. Gallen.
In 2002, he was appointed to the chair for production systems and as a member of the WZL Board of Directors and the Fraunhofer IPT. Since 2014, he has also been the director of the Research Institute for Rationalization (FIR) at RWTH Aachen. Since 2004, he has also been the initiator and managing director of the RWTH Aachen Campus GmbH. Schuh was prorector for Industry and Business at RWTH Aachen from 2008 to 2012. Teaming up with Prof. Achim Kampker, he founded the startup StreetScooter in the RWTH Aachen area in 2010. He served as managing director there between 2012 and 2014. In 2015, he founded e.GO Mobile AG and has been the CEO of the electric car manufacturer down to the present.