Schwartz studied at Yale University and became professor of computer science at the Courant Institute of Mathematical Sciences of New York University . He founded the computer science department at New York University and led it from 1964 to 1980. Schwartz was the designer of the SETL- programming and the ultra- computer of the university.
As a researcher, he worked among more concerned with the theory of linear transformations , the von Neumann algebra , the quantum field theory , time switching ring , the design and development of programming languages , the robotics, the theoretical approach of computer logic , systems research and verification programs, experimental studies of visual perception and techniques for the analysis and visualization of biodata. Some of his students are Jerry Hobbs , Ken Kennedy , Robert Kupperman , Stanley Osher , Gian-Carlo Rota and Shmuel Winograd .
He wrote 18 books and over 100 papers and technical reports. Schwartz died in March 2009 of liver cancer .