Teismann attended Kansas State University and Harvard University Graduate School of Design. In 2010 Teismann co-founded his architectural practice LIONarchitecture. Their work approaches architecture obliquely through practice-based research and epistemology. Teismann previously taught design studios and history and theory at University of Technology Sydney and Rhode Island School of Design. He has published on topics such as the space of globalism, geopolitical spatial encounters, and counterculture architecture. Matthew is the founding principal of LIONarchitecture in Columbus, Ohio.