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“I was disturbed in this way for a very long period of time, like 25 years,” Nash said in an interview on the Nobel website.
The two stayed close, and his condition had begun to improve by the 1980s. They remarried in 2001.
The President of Princeton, Christopher Eisgruber, said he was “stunned and saddened” to hear of their deaths.
“John’s remarkable achievements inspired generations of mathematicians, economists and scientists who were influenced by his brilliant, groundbreaking work in game theory,” he said.
Even this week, Nash received the Abel Prize, another top honour in the field of mathematics.