Mathematics

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.

I like to give a simple-sounding...

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...

Distinguished Visiting Professor Karen Uhlenbeck, a founder of modern geometric analysis, spoke with Joanne Lipman about her Abel Prize win, the barriers that she has overcome in her career, and how elevating the role of math in society would help solve problems such as the COVID-19 pandemic.

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...

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 foundational questions about how learning from data is possible.

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 25, 2019, A...

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, friends, and collaborators to...