In His Prime

Professor Hillel Furstenberg found order in randomness and won the world’s top math prize

Professor Hillel Furstenberg has spent a lifetime describing order in a seemingly random universe.
Which is why the manner in which the award-winning mathematician was introduced to his wife was so fitting.
His roommate from Princeton University, where Furstenberg was then enrolled in the mathematics doctoral program, had seen a young woman on a subway train reading a philosophy book — not the most common sight in 1957.
Rochelle Cohen had come from her hometown of Chicago to spend the year in New York City, where she was renting a room in Boro Park. A few months later, when Simchas Torah arrived, she made her way to a local shul to watch the men dance. As it happens, Furstenberg’s roommate was celebrating Yom Tov at that same shul, and recognizing the girl on the subway and thinking of his bachelor roommate, he approached Rochelle and said: “I know just the guy for you.”
True, a mathematician and a philosophy aficionada don’t necessarily seem like a match made in Heaven. “But I often say that one of the reasons she married me,” relates Furstenberg, the 2020 winner of the Abel Prize, the equivalent of the Nobel Prize of mathematics, “is because I convinced her that there’s beauty in mathematics. Beauty comes from the hidden, the nistar, not the nigleh.”
Decades later, a further indication of Furstenberg’s pursuit of order amid chaos came on the day we met. After scheduling and rescheduling our interview several times because of the coronavirus pandemic — Furstenberg is 84 and was not accepting many visitors — we met on the day the professor should have been in Norway accepting the most coveted prize in mathematics. If not for the coronavirus, he would have been in faraway Oslo, delivering a lecture on mathematics to an audience of his peers.
The Norwegian Academy of Science and Letters awarded Furstenberg, along with Yale University mathematician Gregory Margulis, the Abel Prize for “pioneering the use of methods from probability and dynamics in group theory, number theory, and combinatorics.”
If you don’t know what that means, join the club. The last time I took a math class was approximately 35 years ago (Algebra II) — and I believe I received a B-minus.
But Furstenberg, a multiple-time prizewinner in his field (including winning the Israel Prize in 1993 and the Wolf Prize in mathematics — Israel’s version of the Nobel Prize — in 2007), was patient with my numerophobia and over the course of two hours patiently guided me through the disjointedness of ergodic systems, prediction theory, and the Szemerédi Theorem. There is indeed order in a seemingly random universe, and Hillel Furstenberg’s life proves it.
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