Ideas

Shira’s work explores symplectic geometry, combining the study of geometry and Hamiltonian dynamics. Watch to learn how her interest in math was fostered by reading books by Paul Hoffman and Donal O’Shea, and how the creativity required to solve mathematical problems inspires her to this day.

This installment of our "Paths to Math" video series features Patrick Shafto, Member in the Institute’s School of Mathematics and Professor of Mathematics and Computer Science at Rutgers University. Learn how Patrick’s unexpected start studying physical therapy at Northeastern eventually led to his current research, which explores the intersections of human and machine learning.

Introducing D. Dominique Kemp, the first Black student to receive a PhD in Mathematics from Indiana University-Bloomington. He joins the IAS School of Mathematics in 2022–2023 to continue his exploration of problems that connect harmonic analysis with geometry. 

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.

In this Scholar Spotlight we feature three former scholars: Michael Hanchard (Social Science), Jo Nelson (Mathematics), and Tracy Slatyer (Natural Sciences). They explain how and why the environment at IAS nourishes independent thinkers and prompts scholars to ask questions that push the boundaries of knowledge.

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.

Agustin Moreno, Member in the School of Mathematics, is exploring a restricted case of the three-body problem—a concept that considers the complex motion of three masses under the influence of a force such as gravity.

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.

Richard Schwartz loves simple questions. Here, he discusses the benefits of intellectual enterprise and how the quest to answer fundamental questions underpins his work. His passion for explaining math simply inspired a series of children's books.