Mathematics

In November, out of the blue, I received a letter from the Institute for Advanced Study in Princeton. Nothing about the envelope suggested that the letter inside would be important. It was an ordinary white office envelope with Institute for...

One of the key scientific contributions of the 20th century, Claude Shannon's "A Mathematical Theory of Communication” created the field of information theory in 1948. In addition to the impact of information theory on communications technology,...

Differential privacy disentangles learning about a dataset as a whole from learning about an individual data contributor. Just now entering practice on a global scale, the demand for advanced differential privacy techniques and knowledge of basic...

In 2016, Avi Wigderson, Herbert H. Maass Professor in the School of Mathematics, celebrates his sixtieth birthday. The Institute for Advanced Study hosted a conference in honor of this occasion from October 5 through October 8, 2016, with...

The Institute hosted the Beyond Endoscopy conference, led by Professor Emeritus Robert P. Langlands, on September 30 and October 1, 2016. View talks from the conference below. 

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Explore a collection of Robert Langlands’s papers, as well as some of his lectures and correspondence, on topics ranging from functoriality, representation theory, and base change to endoscopy, Shimura varieties, percolation, and geometric theory...

During the 2015-16 academic year, the School of Mathematics hosted a program on the topic of geometric structures in three dimensions. This article is an adaptation of a talk I gave in fall 2015, as part of the School's biweekly "Mathematical...

This therefore, is mathematics: she reminds you of the invisible forms of the soul; she gives light to her own discoveries; she awakens the mind and purifies the intellect; she brings light to our intrinsic ideas; she abolishes oblivion and...

Edward Nelson, Member in the Schools of Mathematics (1956–59, 79–80) and Natural Sciences (1963–64, 67–68, 73–74) and Professor of Mathematics at Princeton University until his death in 2014, was an original thinker best known...

Jean Bourgain, IBM von Neumann Professor in the School of Mathematics, was bestowed the title of Baron by the Belgian government in July 2015. In association with the honor, Bourgain designed a coat of arms inscribed "In hope against hope."...

Symplectic and contact structures first arose in the study of classical mechanical systems, allowing one to describe the time evolution of both simple and complex systems such as springs, planetary motion, and wave propagation. Understanding the evolution and distinguishing transformations of these systems led to the development of global invariants of symplectic and contact manifolds.

Since 1994 with the support of the National Science Foundation, the Institute, together with Princeton University, has hosted an intensive 11-day mentoring program for undergraduate and graduate women in mathematics.

The program brings...