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 parallelograms (the combined effect of two
forces). To earlier...
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
Albert Einstein finished his general theory of relativity in
November 1915, and in the hundred years since, its influence has
been profound, dramatically influencing the direction of physics,
cosmology, and mathematics. The theory upended Isaac...
Mathematics has proven to be "unreasonably effective" in
understanding nature. The fundamental laws of physics can be
captured in beautiful formulae. In this lecture, given at the
Perimeter Institute for Theoretical Physics, Robbert Dijkgraaf...
Mathematical language is becoming more and more pervasive. This
phenomenon ranges from the mundane (imprints on T-shirts or mugs)
to the more scientific (its use in reporting or in disciplines
outside of mathematics) and even includes art in its...
Derek and I had several conversations during lunches about the potential for “The Symplectic Piece.” And he continued to attend occasional lectures on the subject, searching for a way to map symplectic geometry onto a musical score.
On November 14, the Institute for Advanced Study announced
the appointment of Robbert Dijkgraaf as its ninth Director,
succeeding, as of July 1, 2012, Peter Goddard, who has served as
Director since January 2004.
I sometimes like to think about what it might be like inside a
black hole. What does that even mean? Is it really
“like” anything inside a black hole? Nature keeps us
from ever knowing. (Well, what we know for sure is that nature
keeps us from...
commented on D’Arcy Thompson’s On Growth and
Form, first published in 1917, which studied how the shape of
an organism changes as it grows and the way that shape changes in
the course of evolution. Milnor discussed the hypothesis
In this lecture, John
Milnor, Co-Director of the Institute for Mathematical Sciences
at Stony Brook University and a former member of the Faculty of the
School of Mathematics at the Institute for Advanced Study
(1970-90), offers commentary on the...