John Nash and his wife Alicia at the Oscars in 2002.

Mathematician John Nash, 86, and his wife Alicia, 82, whose lives were the subject of the Oscar-winning film A Beautiful Mind , were killed Saturday in a taxi crash in New Jersey, police told BuzzFeed News.

A spokesman for the Middlesex County Prosecutor's office told NJ.com that no charges were expected to be laid in the case.

The cab driver was injured in the crash and flown to hospital, he said.

The couple, who were not believed to have been wearing seat belts, were thrown from the vehicle and died on scene, Williams said.

The pair were killed at the New Jersey Turnpike around 4:30 p.m. ET on Saturday when the cab in which they were traveling crashed while trying to pass another vehicle, New Jersey state police spokesman Sgt. First Class Gregory Williams said.

Renowned for his work in game theory, the mathematics of decision-making, the former Princeton University professor won the Nobel Prize in Economics in 1994.

On Tuesday, Nash was honored by the King of Norway, along with longtime colleague Louis Nirenberg, with the Abel Prize for their work on nonlinear partial differential equations.

"Their breakthroughs have developed into versatile and robust techniques that have become essential tools for the study of nonlinear partial differential equations," the Abel committee said in a statement outlining its decision to honor the pair. "Their impact can be felt in all branches of the theory."

During his career, Nash was also honored with the John von Neumann Theory Prize in 1978 and an American Mathematical Society prize in 1998.

Born in 1928 in Bluefield, West Virginia, to an electrical engineer father and school teacher mother, Nash was reading advanced mathematical texts by the time he was in high school.

He received a scholarship to Carnegie Mellon University as a chemical engineering student before switching to mathematics. As a graduate student he studied at Princeton University where he continued to explore game theory. Upon graduating, he worked in the mathematics faculty at Massachusetts Institute of Technology.

Alicia Nash, born Larde, was a physics student at M.I.T. and once told PBS she was dazzled by the genius.

"I walked into the classroom, and I thought he was very nice looking," she said. "He was like the fair-haired boy of the math department."

The pair were married in 1957.

When John began experiencing mental illness, Alicia, a new mother, made the painful decision to have her husband committed to an asylum to receive treatment.

"I tried to remain positive as much as I could," Alicia told PBS. "And I really tried not to feel pity for myself."

The pair divorced in 1960, but 10 years later Alicia took John back into her home as a "boarder" so she could help care for him.

As Nash's mental illness gradually subsided, and he began receiving recognition for his work, the pair decided to remarry in 2001, some 38 years after they first split up.