The movie is based on the autobiography (1991) with the same name.
Stan Ulam (1909-1984) appears in many places in mathematics like Fermi-Pasta-Ulam,
the Ulam Spiral, the Ulam problem (Collatz problem), the Oxtoby-Ulam theorem
(he wrote at Harvard). The picture features Ulam teaching calculus and probability
at Harvard. There is a lot about the "Super", some disputes with Edward Teller (1908-2003).
A prominent role in the movie plays John von Neumann (1903-1957).
Thanks to Craig Smorynski for telling me about the movie.