Graf is engaged in research on high-power laser systems and laser applications in manufacturing. From 2001 to 2007 Prof. Graf served as a board member of the Swiss Society for Optics and Microscopy (SSOM), from 2008 to 2012 he was a board member of the European Optical Society (EOS), he is a board member of Photonics BW e.V., and is a member of the German Wissenschaftliche Gesellschaft Lasertechnik e.V., WLT (Scientific Society for Laser Technology), since 2013 member of the WLT board as vice president Engineering Sciences. Since 2009 Prof. Graf is a member, since April 2014 the chairman of the supervisory board of the TLB GmbH.