In 1999, he attended the New York Studio Program. He is the recipient of the James William Paige Fund and the Clarissa Bartlett Scholarship. In 2008, he has been awarded the FalkenrotPreis from the KünstlerhausBethanien, Berlin.
Giehler is known for his geometric abstractions. “He is fascinated by virtual spaces which, even from the outset, always illustrate realities that are just possibilities – imaginary worlds floating between planning, construction, and unconstrained fiction.” (Jens Asthoff, 2008)
His work has been widely exhibited in many prominent galleries and museums around the world, including the Kunstmuseum Wolfsburg and Wilhelm-Hack-Museum Ludwigshafen in Germany, the Centro de Salamanca in Spain as well as the Cleveland Museum of Art, PS 1/MOMA NY, New Orleans Museum of Art, the Carnegie Art Museum in Oxnard, CA and the Museum of Fine Arts in Boston. In 2005, Giehler was included in the Prague Biennale 2. His work can be found in the permanent collections of the Museum of Fine Arts, Boston, MA, the Hirshhorn Museum and Sculpture Garden, Washington, DC, the Deste Foundation Centre For Contemporary Art, Athens, Greece, the Wolfsburg Museum, Wolfsburg, Germany, and Kunsthaus of Zurich, Switzerland.