Wood has been the subject of solo and two-person exhibitions at Ryosokuin Temple (with Shio Kusaka), Kyoto, Japan (2025); Dallas Museum of Art, TX (2019); Museum Voorlinden (with Shio Kusaka), Wassenaar, the Netherlands (2017); Lever House, New York, NY (2014); and Hammer Museum, Los Angeles, CA (2010). Other solo projects include Still Life with Two Owls, a monumental picture covering the façade of The Museum of Contemporary Art, Los Angeles, CA (2016–2018); Shelf Still Life, High Line Billboard, High Line Art, New York, NY (2014); and LAXART Billboard and Façade, LAXART, Los Angeles, CA (2014). Recent group exhibitions include Colour Form and Composition: Milton Avery and His Enduring Influence on Contemporary Painting, Malta Contemporary Art Space, Floriana, Malta (2025); Strike Fast, Dance Lightly: Artists on Boxing, Norton Museum of Art, West Palm Beach, FL (2024); Desire, Knowledge, and Hope (with Smog), The Broad, Los Angeles, CA (2023–2024); New Ground: Jacob Samuel and Contemporary Etching, Museum of Modern Art, New York, NY (2023); Psychic Wounds: On Art and Trauma, The Warehouse, Dallas, TX (2020); One Day at a Time: Manny Farber and Termite Art, The Museum of Contemporary Art, Los Angeles, CA (2018); and Los Angeles – A Fiction, Astrup Fearnley Museet, Oslo, Norway (2016) and Musée d’art contemporain de Lyon, France (2017).

His work is in the permanent collections of many institutions including The Broad, Los Angeles, CA; Guggenheim Museum, New York, NY; Hammer Museum, Los Angeles, CA; Hirshhorn Museum and Sculpture Garden, Washington, D.C.; Metropolitan Museum of Art, New York, NY; Museum of Modern Art, New York, NY; SFMOMA, San Francisco, CA; and Whitney Museum of American Art, New York, NY. In 2019, Phaidon published the first monograph dedicated to Wood’s paintings and drawings. Wood lives and works in Los Angeles.