Appel's artwork occupies spaces within and between the practices of painting and architecture, following a trajectory describing the slow and messy dissolution of the integrity of the house, home, and pictorial space.
His solo exhibitions include Ameringer McEnery Yohe, New York (2104), Christopher Grimes Gallery, Santa Monica (2013), Susanne Vielmetter Los Angeles Projects (2012), ACME. Gallery, Los Angeles (2009), Two Rooms Gallery, Auckland (2008), Wilkinson Gallery, London (2006); Angles Gallery, Santa Monica (2006, 2002, 1999, 1998); Museo Rufino Tamayo, Mexico City (2003); Marianne Boesky Gallery, New York (2001); and the Museum of Contemporary Art, Los Angeles (1999). Among the group exhibitions Appel has participated in are Painting in Place, Los Angeles Nomadic Division (2013), Beta Space: Kevin Appel and Ruben Ochoa, San Jose Museum of Art, San Jose, Califrnia (2011), Trespassing: Houses x Artists, MAK Center for Art and Architecture, Los Angeles (2003); Drawing Now: Eight Propositions, Museum of Modern Art, New York (2002); Painting at the Edge of the World, Walker Art Center, Minneapolis (2001); 010101: Art in Technological Times, San Francisco Museum of Modern Art, San Francisco, California (2001), Against Design, Museum of Contemporary Art, San Diego, La Jolla; Farve Volumen/Color Volume, Kunsthallen Brandts Klædefabrik, DK-Odense, Denmark (1999); and Abstract Painting Once Removed, Contemporary Arts Museum, Houston, Texas (1998).
Appel's bibliography includes catalogues for Descripcion sin lugar: Una seleccion de obras de Kevin Appel, Museo Rufino Tamayo (Tobias Ostrander, Elizabeth Smith, ed.); Drawing Now: Eight Propositions, Museum of Modern Art (Laura Hoptman, ed.); Trespassing: Houses x Artists, Hatje Cantz (Alan Koch, et al., ed.); 01.01.01: Art in Technological Times, San Francisco Museum of Modern Art, San Francisco (David A Ross, et al., ed.); Painting at the Edge of the World, Walker Art Center (Douglas Fogle, ed.); and Kevin Appel, Museum of Contemporary Art, Los Angeles (Jeremy Strick, Paul Schimmel, Jan Tumlir, ed.). Other critical essay can be found in artUS, January/February 2007 ("Kevin Appel," R. Asher); Artforum, January 2006 ("Kevin Appel: Angles Gallery," Jan Tumlir); Architecture, May1999 ("Art in the Age of Digital Reproduction," Glen Helfand);Frieze 46, May 1999 ("Drive-by: New Art from LA," Alex Farquharson); Artforum, September ("Virtually Formal," Lane Relyea).