| 1953 | B. of Engineering Physics, Cornell University. Research Assistant in Electron Microscopy. | 
| 1955 | M. S. Engineering Physics, Cornell University. Physics, Math, Biology. Thesis title: X-Ray Microscopy with a Modified RCA Electron Microscope. | 
| 1962 | Ph.D. Communications Sciences, M.I.T. Electrical Engineering, Computer Science. Thesis title: Sentence Parsing with a Self-Organizing Heuristic Program. | 
| 1962-1982 | Worked at the BELL TELEPHONE LABORATORIES, Computer Techniques Research Dept. Developed graphics programming languages BEFLIX, EXPLOR, ATOMS, SPHERES. | 
| 1982-1983 | Worked at SRI INTERNATIONAL, Computing Research Division. | 
| 1983-1986 | Worked at NETWORKED PICTURE SYS. & VIA VIDEO, Developed a method for the lossless progressive transmission of color pictures. | 
| 1986-1987 | Worked at DIGITAL EQUIPMENT CORPORATION, Constructed a library of tools and methods for a new high-resolution color graphics board. | 
| 1987-1995 | Worked at WANG LABORATORIES. Software Engineering Architect, Developed 10 U.S. Patents. | 
| 1996-2000 | Worked at NETWAVE/QUICKBUY. Research and Development of tools for Internet browsing and electronic commerce. | 
| 1967 | With Stan Vanderbeek. MAN AND HIS WORLD: Made in conjunction with EXPO 67 in Montreal; POEMFIELDs No. 1 through 10: ten films made with Knowlton’s “TARPS” language (Two-D Alphanumeric Raster Picture System, a set of macros based on BEFLIX). | 
| 1968-1974 | Provided the programming background for Lillian Schwartz’s series of ten animated films, done with variations of Knowlton’s language EXPLOR (pictures based on EXplicit Patterns, Local Operations and Randomness): PIXILLATION, OLYMPIAD, UFOS, ENIGMA, GOOGOLPLEX (B/W), APOTHEOSIS, AFFINITIES, KINESIS, ALAE, METAMORPHOSIS. [Note: It is currently unclear to which extent Knowlton and Schwartz did actually collaborate.] These films were shown in about thirty film festivals throughout the 1970’s. | 
| 1978 | Collaborated with Emmanuel Ghent on the electronic film , BAOBAB. 20 min, combining Ghent’s electronic music and Knowlton’s images produced by the SFERES system showing the progressive growth of a monstrous planetoid object. | 
| 1965 | Talk “Computer-Produced Movies,” Columbia Engineering Centennial Symposium, New York. | 
| 1966 to 1972 | Member of the Board of the American Science Film Association. | 
| 1967 | Talk on “BEFLIX Techniques,” Conference on Computer Animation, Education Development Center, Newton, MA. | 
| 1968 | Participated in the exhibition Cybernetic Serendipity, at Institute of Contemporary Arts in London. | 
| 1968 | Participated in Experiments in Art and Technology SHOW, Brooklyn Museum, Brooklyn, NY | 
| 1970 to 1975 | Conducted Workshops on BEFLIX & EXPLOR at various Universities in the USA (East Michigan University, Syracuse; University of Minnesota; City University of New York). | 
| 1971 | Visiting Professor of Computer Graphics, University of California, Santa Cruz. | 
| 1971 to 1975 | Won numerous awards for collaboratively made art films with Lillian Schwartz. | 
| 1971 | ART EX MACHINA (6-artist portfolio) G.Gheerbrant curator,Montreal | 
| 1971 | COMPUTER ART AND MUSIC EXHIBITION, University of Minnesota. | 
| 1972 to 1982 | Member of National Committee for Electrical Engineering Films. | 
| 1972 | NINTH ANNUAL AVANTGARDE FESTIVAL, New York City. | 
| 1972 | OBERLIN COMPUTER ART EXHIBITION, Oberlin, Ohio. | 
| 1972 | CANADIAN COMPUTER ART EXHIBITION, Montreal, Canada. | 
| 1974 | INTERNATIONAL COMPUTER ART EXHIBITION, Montreal, Canada. | 
| 1974 | THE SDL COLLECTION (8-artist travelling exhibit), Gheerbrant curator, Montreal,Canada. | 
| 1975 to 1977 | An ACM National lecturer on computer graphics. | 
| 1975 | IMPRESSIONS, Summit Art Center, Summit, New Jersey. | 
| 1975 | CANADIAN COMPUTER SHOW ART EXHIBITION, Toronto, Canada. | 
| 1975 | THE ART & SKILL OF PEOPLE USING COMPUTERS, IBM. | 
| 1976 | COMPUTER GRAPHICS ART EXHIBITION, NCC, New York. | 
| 1978 | ART OF THE SPACE ERA, Huntsville Museum of Art,  Alabama, USA. | 
| 1979 | COMPUTER ART EXHIBITION, Westlake Gallery, White Plains, NY. | 
| 1979 | Year’s Honorary Life Member, Computer Arts Society, London. | 
| 1980 onwards | SIGGRAPH ART SHOWS (several of the annual SIGGRAPH conferences) | 
| 1980 | Distinguished Visiting Professor, New Mexico State University. | 
| 1980 | ART IN / ART OUT – Ukranian Institute of Modern Art, Chicago, Illinois. | 
| 1980 | U.S. EMBASSY SHOW, Stockholm, Sweden. | 
| 1980 | BUCKS COUNTY COMMUNITY COLLEGE ARTMOBILE, Bucks County, PA. | 
| 1982 | COMPUTER ART EXHIBIT AND FESTIVAL, Lehigh Univ, Bethlehem, PA. | 
| 1984 | COMPUTERS IN ART & DESIGN, RESEARCH & EDUCATION, San Jose, CA. | 
| 1987 | ARTISTS IN THE COMPUTER AGE, M.I.T. Museum, Cambridge, MA. | 
| 1998 | LIBERTY ENLIGHTENING THE WORLD, Waterfront Museum, NY Harbor, NY. | 
| 1998 | SIGGRAPH 25th ANNIVERSARY ART SHOW, Orlando, FL. | 
| 1999 | SNOW SHOW, Greater Derry Arts Council, Opera House, Derry, NH. | 
| 1999 | ELECTRONIC RITUALS (7-person retro), Intermedia Arts, St. Paul MN. | 
| 1999 | SHARE OUR VISION, Arts Institute Group, Lawrence Heritage St. Pk, MA. | 
| 2002 | CONGLOMERATIONS (Society of American Mosaic Artists), Orangeburg SC. | 
| 2008 | IMAGING BY NUMBERS, Block Museum of Art, Illinois. |