Ideas

Explore firsthand accounts of research and questions posed by IAS scientists and scholars. From art history to string theory, from moral anthropology to the long-term fate of the universe, contributions span the last decade to the research of today.

When Karen Uhlenbeck was a MacArthur fellow, between 1983–88, she went on a series of incredible adventures visiting other MacArthur fellows and learning about their projects. “This was actually one of the high points of my life,” Uhlenbeck said to me, laughing. She recalls whale watching in Hawaii with Roger Payne, a trip to the Amazon to see Philip DeVries’s work with butterflies, studying lemurs in Madagascar with Pat Wright, and a Montana dinosaur dig with Jack Horner.

Mathematics Member John Urschel works on linear algebra, specifically matrix analysis. In this video, he shares his journey from the NFL to a career in mathematics, having worked on his Ph.D. at MIT during the offseason while playing for the Baltimore Ravens. Now retired from the NFL, Urschel is able to focus completely on math.

Ukrainian mathematician Svitlana Mayboroda was initially undecided on her career path. She had every intention of going into business until an opportunity presented itself to attend a mathematics graduate program in the United States.

The Institute for Advanced Study distributed $21,742.50 in stipends for mathematics and $10,000 for theoretical physics during the academic year 1935–36. Three hundred dollars, sufficient to secure entry to the United States, was awarded to the Polish mathematician Stanislaw Ulam (1909–84), who had written to John von Neumann about a problem in measure theory in 1934.

Jinyoung Park is a first-generation college graduate, and after seven years as a secondary school teacher in South Korea, she went on to earn a mathematics Ph.D. from Rutgers University. Jinyoung’s story demonstrates the importance of role models at all levels of one’s education and the fact that it is never too late to begin anew.

John Urschel, Member in the School of Mathematics, is an applied mathematician/theoretical computer scientist as well as a former professional football player, who spent three seasons with the Baltimore Ravens. Urschel retired from the NFL in 2017...

Sergey Cherkis, a Member in the School of Mathematics (2020–21), is currently trying to understand instantons. Unlike particles in classical mechanics, quantum particles can tunnel through barriers by traveling in imaginary time. By combining his knowledge of mathematics and physics, Sergey is working to understand this peculiar behavior. Learn more about Sergey’s path, which begins with an early interest in mathematics and physics, and hear how mathematics itself became a tool for overcoming challenges on his academic journey.

Taking Theory to Traffic

The largest live autonomous vehicle traffic experiment ever conducted began the week of November 18, 2022, in Nashville, Tennessee. While this experiment used 4 miles of highway, 288 cameras, and an impressive command center, one of its most vital resources was equations on a blackboard. In front of one of these blackboards was Benedetto Piccoli, Visitor in the School of Mathematics.

The Curriculum of the Woods

Predicting thousands of years of forest growth with just an afternoon of fieldwork and a simple calculator might seem like an impossible task, but Jonathan Levine, Chair of Princeton’s Department of Ecology & Evolutionary Biology, who runs annual classes in “Forest Succession” in the Institute Woods, enables his students to achieve precisely this.