Mathematics

Panagiota Daskalopoulos

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...

Sanjeev Arora

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 ...

Camillo De Lellis speaks at the blackboard

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...

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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...

Akshay Venkatesh gives a demonstration of a mathematical knot

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...

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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...

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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...

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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.

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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 interconnection between mathematics and physics.

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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...

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Nima Arkani-Hamed, Professor in the School of Natural Sciences, and Thomas Lam, von Neumann Fellow in the School of Mathematics, discuss the fruits of their recent collaboration and the benefits of math-physics collaboration more broadly during the The Universe Speaks in Numbers event on May 29, 2019, at the Institute for Advanced Study.