Mathematics

The hardest science has the softest forms. Mathematics is often seen as a growing body of definitions, axioms, formulas, and theorems, all fitted together with the greatest precision. Each new proof adds extra cross-bars and...

As part of Ideas: Celebrating 2017–18Robbert Dijkgraaf, Institute Director and Leon Levy Professor, ...

On April 26, 2018, the Institute community gathered to celebrate Ideas 2017–18 with talks by IAS Members––deep ideas explained in under 20 minutes with no slides or chalk––followed by audience discussions moderated by Faculty. The program...

During this public lecture held at the Institute on December 12, Yann LeCun, Director of Facebook AI Research and Silver Professor of Computer Science at New York University, explored deep learning and the principles and methods for predictive...

Ideas that originate in particle physics have an uncanny tendency to appear in the most diverse mathematical fields. This is especially true for string theory. Its stimulating influence in mathematics will have a lasting and rewarding impact,...

Deep learning, which is the reemergence of artificial neural networks, has recently succeeded as an approach towards artificial intelligence. In many fields, including computational linguistics, deep learning approaches have largely displaced...

In this public lecture held at the Institute on October 27, 2017,  Sanjeev Arora, Visiting Professor in the School of Mathematics, and ...

Geometry and physics have long gone hand in hand. All around us, physical processes play out in geometric terms, such as straight lines (rays of light), ellipses (planetary motion), or...

Liquid crystals, discovered serendipitously by Friedrich Reinitzer in the late nineteenth century, have come to play an important role in the world of consumer electronics, specifically in the production of ever larger, thinner, and more energy-...

Ed Witten, Charles Simonyi Professor in the School of Natural Sciences, and Helmut Hofer, Professor in the School of Mathematics, along with Marc Lackenby, Martin R. Bridson, and Rahul Pandharipande, have co-authored Lectures on Geometry ...

On Sunday, October 8, 2017, the Institute hosted a gathering in remembrance of Vladimir Voevodsky, Professor in the School of Mathematics. Friends, family, and the Institute...