Past Events

The positive Grassmannian is a remarkable subset of the real Grassmannian which has recently arisen in diverse contexts such as integrable systems, scattering amplitudes, and free probability. I will provide an elementary introduction to the positive...

Whether the 3D incompressible Euler equations can develop a singularity in finite time from smooth initial data is one of the most challenging problems in mathematical fluid dynamics. This question is closely related to the Clay Millennium Problem on...

Mechanism design is the problem of computing an optimal allocation of resources under criteria such as social welfare or revenue. The problem is more challenging than algorithm design because the inputs have to be elicited from selfish agents who may...

There are a number of seminal two-dimensional lattice models that are integrable, but have only been partially solved, in the sense that only some properties are fully known (e.g. the two-dimensional Ising model, where the free-energy is known, but...

Adhesive Dynamics is a method to simulate the dynamics of cell adhesion to surfaces. Adhesion receptors are modeled as reactive mechanical entities with adhesive tips, and the formation and breakage of adhesion molecules with cognate ligands is...

Random matrix theory studies the asymptotics of the spectral distributions of families of random matrices, as the sizes of the matrices tend to infinity. Derivation such asymptotics frequently requires analyzing the spectral properties of random...

Orthogonal arrays have numerous applications in various disciplines including statistics, engineering and cryptography. We will revisit the celebrated Bose-Bush bound on orthogonal arrays and examine how an elementary approach, based on a certain...

Particulate flows are ubiquitous in environmental, geophysical and engineering processes. The intricate dynamics of these two-phase flows is governed by the momentum transfer between the continuous fluid phase and the dispersed particulate phase...

Problems involving complicated deforming time-dependent boundaries or interfaces (i.e. codim-1 surfaces) are ubiquitous in the modeling of physical systems. The resulting Partial Differential Equations (PDEs) often have irregular, and even...

Unconventional fossil energy resources are revolutionizing the US energy market. While the techniques developed over the last 50 years lead to viable and profitable extraction of, e.g., trapped gas and hydrocarbons from almost-impermeable rock...