Video Lectures

The Grothendieck-Katz $p$-curvature conjecture is an analogue of the Hasse Principle for differential equations. It states that a set of arithmetic differential equations on a variety has finite monodromy if its $p$-curvature vanishes modulo $p$...

The string topology coproduct is an intersection type operation, originally described by Goresky-Hingston and Sullivan, which considers transverse self-intersections on chains of loops in a smooth manifold and splits loops at these intersection...

Matisse’s Scale: What’s with the Bamboo Stick? In this public lecture, Bois will focus on Matisse’s use of the bamboo stick in large-scale works and the bodily conception of scale it entails. In a photograph dating from 1931, Matisse is shown...

I will report on joint work with Andrew Lee, which explores the notion that spaces of stable pairs over Riemann surfaces (in the sense of Bradlow and Thaddeus) could form a natural home for a “non-abelian” analog of Heegaard Floer homology for 3...

Given a fibration of compact symplectic manifolds and an induced fibration of Lagrangians, one can ask if we can compute the Floer cohomology of the total Lagrangian from information about the base and fiber Lagrangians. The primary example that we...

Gender Bias in Science: Where It Is and Where It Isn’t Shulamit (Shu) Kahn has been studying women in STEM disciplines for two decades, analyzing empirical evidence about salaries, promotions, and occupations. Her approach is to let the data form...

Motivated by the goal of establishing a "symplectic sum formula" in symplectic field theory, we will discuss the intersection behavior between punctured pseudoholomorphic curves and symplectic hypersurfaces in a symplectization. In particular we...

Albert O. Hirschman Prize Ceremony and Program Please join the Social Science Research Council and the Institute for Advanced Study for the Albert O. Hirschman Prize Ceremony and Program honoring Amartya Sen. featuring Peter Lange, Duke University...

A polygon with rational angles can be unfolded and glued into a finite genus Riemann surface equipped with a flat metric and some singularities. The moduli space of all such structures carries an action of the group $\mathrm{PSL}(2,\mathbb R)$ and...