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.

#
Mathematics

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...

Kurt Gödel, a Member of the Institute Faculty in the School
of Mathematics, is the topic of the biography *Journey
to the Edge of Reason* by Stephen Budiansky, published by
W. W. Norton.

In conducting research for the book, Budiansky worked closely...

In 2020–21, Allen Yuan, Visitor in the School of Mathematics and a recent graduate from MIT, is studying problems in homotopy theory and algebraic topology.

How do you describe your work to friends and family?

I like to give a simple...

Natalie Paquette, Member in the School of Natural Sciences, is a mathematical physicist whose research interests span string theory and quantum field theory. Most recently, she has been exploring connections between holography and the mathematical...

Karen Uhlenbeck is Distinguished Visiting Professor in the School of Mathematics at the Institute for Advanced Study. A founder of modern geometric analysis, she is professor emeritus at the University of Texas...

The twenty-sixth annual Women and Mathematics (WAM) Program, “Topics in Geometric Analysis,” was held May 18–24, 2019, at the Institute for Advanced Study.

Participants explored dynamic shapes and surfaces, along with the equations that describe...

The Institute's School of Mathematics held the workshop "Theory of Deep Learning: Where Next?" October 15–18, 2019, as part of the School's special year on Optimization, Statistics, and Theoretical Machine Learning.

The workshop brought together deep...

A variety of systems in natural sciences are described through physically measurable quantities that depend on “independent variables.” For instance, we routinely measure the pressure and the temperature of the air in the Earth’s atmosphere, and...

By the twentieth century, mathematics had advanced into rather abstract realms, transcending its origins, which had been largely driven by questions closer to the natural world. Physics on the other hand, especially after the development of quantum...