He has exhibited widely across the U.S. and abroad, including solo exhibitions at Each Modern, Taipei; Marianne Boesky Gallery, NY; Tilton Gallery, NY; Artist Curated Projects, Los Angeles; and the Fondation des Etats Unis, in Paris. Könst has won Public Art commissions from Lighthouse Works, NY and Socrates Sculpture Park, NY; and has participated in group exhibitions with Anton Kern, NY; Beers Gallery, London; Mrs Gallery, NY; Galerie Jeanroch Dard, Brussels; and others. He is a recipient of the Rema Hort Mann Grant as well as the Harriet Hale Woolley Fellowship.