Welcoming Remarks

Robbert Dijkgraaf
Director and Leon Levy Professor, Institute for Advanced Study
May 29, 2019
Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Natalie Wolchover Interviews Freeman Dyson and Karen Uhlenbeck

Natalie Wolchover, Senior Writer, Quanta Magazine; Karen Uhlenbeck, Visiting Professor, School of Mathematics IAS; Freeman Dyson, Professor Emeritus, School of Natural Sciences IAS
May 29, 2019
Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

The Shapes of Spaces and the Nuclear Force

Gregory Moore
Professor, Physics and Astronomy, Rutgers University
May 29, 2019
Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

The Primacy of Experiment

Kyle Cranmer
Professor of Physics, New York University
May 29, 2019
Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Nima Arkani-Hamed and Thomas Lam in Conversation

Nima-Arkani Hamed, Professor, School of Natural Sciences IAS; Thomas Lam, von Neumann Fellow, School of Mathematics IAS
May 29, 2019
Physics and mathematics seem to be in a pre-established harmony, as Gottfried Leibniz observed long ago. New ideas generated by mathematical researchers have often proved to be essential to physicists trying to discover the most basic laws of nature. Likewise, physicists have often generated new insights into advanced mathematics.

Uniform Rectifiability via Perimeter Minimization IV

Tatiana Toro
University of Washington
May 24, 2019

Abstract: Quantitative geometric measure theory has played a fundamental role in the development of harmonic analysis, potential theory and partial differential equations on non-smooth domains. In general the tools used in this area differ greatly from those used in geometric measure theory as it appears in the context of geometric analysis. In this course we will discuss how ideas arising when studying perimeter minimization questions yield interesting and powerful results concerning uniform rectifiability of sets. The course will be mostly self-contained.

Uniform Rectifiability via Perimeter Minimization III

Tatiana Toro
University of Washington
May 23, 2019

Abstract: Quantitative geometric measure theory has played a fundamental role in the development of harmonic analysis, potential theory and partial differential equations on non-smooth domains. In general the tools used in this area differ greatly from those used in geometric measure theory as it appears in the context of geometric analysis. In this course we will discuss how ideas arising when studying perimeter minimization questions yield interesting and powerful results concerning uniform rectifiability of sets. The course will be mostly self-contained.

Ancient Solutions to Geometric Flows III

Panagiota Daskalopoulos
Columbia University
May 23, 2019

Abstract: Some of the most important problems in geometric evolution partial differential equations are related to the understanding of singularities. This usually happens through a blow up procedure near the singularity which uses the scaling properties of the equation. In the case of a parabolic equation the blow up analysis often leads to special solutions which are defined for all time −∞