John Forbes Nash Jr., a mathematical genius whose struggle with schizophrenia was chronicled in the 2001 movie “A Beautiful Mind,” has died along with his wife in a car crash on the New Jersey Turnpike. He was 86.

Nash and Alicia Nash, 82, of Princeton Township, were killed in a taxi crash Saturday, state police said. A colleague who had received an award with Nash in Norway earlier in the week said they had just flown home and the couple had taken a cab home from the airport.

Russell Crowe, who portrayed Nash in “A Beautiful Mind,” tweeted that he was “stunned.” In a statement on Sunday, Jennifer Connelly, who won the supporting actress Oscar for playing Alicia Nash, called the couple “an inspiration,” and the film’s director, Ron Howard, tweeted that “it was an honor telling part of their story.”

Known as brilliant and eccentric, Nash was associated with Princeton University for many years, most recently serving as a senior research mathematician. He won the Nobel Prize in economics in 1994 for his work in game theory, which offered insight into the dynamics of human rivalry. It is considered one of the most influential ideas of the 20th century.

Just a few days ago, Nash had received a prize from the Norwegian Academy of Sciences and Letters in Oslo with New York University mathematician Louis Nirenberg, who said he’d chatted with the couple for an hour at the airport in Newark before they’d gotten a cab. Nirenberg said Nash was a truly great mathematician and “a kind of genius.”

Princeton University President Christopher Eisgruber said the Nashes were special members of the university community.

The 2001 film “A Beautiful Mind” won four Oscars, including best picture and best director, and generated interest in John Nash’s life story. The movie was based on an unauthorized biography by Sylvia Nasar, who wrote that Nash’s contemporaries found him “immensely strange” and “slightly cold, a bit superior, somewhat secretive.” Crowe was nominated for a best actor Oscar.

Much of his demeanor likely stemmed from mental illness, which began emerging in 1959 when Alicia was pregnant with a son. The film, though, did not mention Nash’s older son or the years that he and Alicia spent living together after divorcing. The couple split in 1963, then resumed living together several years later and finally remarried in 2001.

Born in Bluefield, West Virginia, to an electrical engineer and a housewife, Nash had read the classic “Men of Mathematics” by E.T. Bell by the time he was in high school. He planned to follow in his father’s footsteps and studied for three years at the Carnegie Institute of Technology in Pittsburgh (now Carnegie Mellon University), but instead developed a passion for mathematics.

He then went to Princeton, where he worked on his equilibrium theory and, in 1950, received his doctorate with a dissertation on non-cooperative games. The thesis contained the definition and properties of what would later be called the Nash equilibrium.

Nash then taught at M.I.T. for several years and held a research post at Brandeis University before eventually returning to Princeton.

Report compiled with information from Associated Press.