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 at Austin

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...

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 ...

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...

In 2019–20, **Chris J. Maddison**, Member in the School of Mathematics and a Senior Research Scientist at DeepMind, is developing methods for machine learning and exploring...

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...

In mathematics, there are many surprising parallels between problems in the theory of numbers and questions in three-dimensional geometry.

In "Primes and Knots," a public lecture at the Institute for Advanced Study that took place October...

From May 31–June 1, 2019, the Institute for Advanced Study hosted a remembrance in honor of Jean Bourgain, Professor in the School of Mathematics for twenty-four years. The public event brought together colleagues...

Who makes a paper every week,

and every month a new technique,

and founds new branches every year,

and does not know the sense of fear?

And legends—whom d'you hear about?

And if you met him you'd be proud.

Of course...

On May 29, 2019, the Institute for Advanced Study hosted a celebration of *The Universe Speaks in Numbers* by frequent Director's Visitor Graham Farmelo. The public event, which was held on the centenntial of the 1919 eclipse that provided the first experimental verification of Einstein's theory of relativity, brought together some of the world's foremost science communicators for an afternoon of talks discussing the close relationship between mathematics and physics.

Natalie Wolchover, Director's Visitor (2017), interviews Freeman J. Dyson, Professor Emeritus in the School of Natural Sciences, and Karen Uhlenbeck, Visiting Professor in the School of Mathematics, on the close interconnection between mathematics and physics.

There are two labyrinths of the human mind: one concerns the composition of the continuum, and the other the nature of freedom, and both spring from the same source—the infinite. —Baron von Leibniz...