Past Events

Single particle cryo-EM is an increasingly popular technique for determining 3-D molecular structures at high resolution. The 2017 Nobel Prize in Chemistry was awarded to three of the pioneers of cryo-EM, and already in the early stages of the global...

In topology, cohomology is an invariant we can assign to spaces. In algebra, there are also cohomology theories for various algebraic structures, such as group cohomology, Lie algebra cohomology, and André-Quillen cohomology of commutative rings...

The computer is taking over. AND, in many branches of applied mathematics and statistics we hear 'why bother to prove theorems? simulations and numerical approximation are easier and better for real problems'. NOT SO FAST; I will present a collection...

This talk introduces a mathematical theory of developmental biology, based on optimal transport. While, in principle, organisms are made of molecules whose motions are described by the Schödinger equation, there are simply too many molecules for this...

Informally speaking, sampling discretization studies how well one can replace the computa- tion of integral L p norms for a given class of functions by the evaluation of these functions at a fixed small set of points. On the one hand, such problems...

There is a well-developed theory of Sobolev spaces on metric measure spaces, stemming from the seminal works of Cheeger and Shanmugalingam in the 1990s. However, this notion does not lead to a suitable space for fractals. We develop an alternate...

In a seminal paper, Kannan and Lovász (1988) considered a quantity µ K L ( Λ , K ) which denotes the best volume-based lower bound on the covering radius µ ( Λ , K ) of a convex body K with respect to a lattice Λ . Kannan and Lovász proved that µ ( Λ...

The principal-agent problem is an important paradigm in economic theory for studying the value of private information; the nonlinear pricing problem faced by a monopolist is one example; others include optimal taxation and auction design. For...

When particles interact with attractive-repulsive dynamics, which can model birds flocking, space dust, or a variety of other phenomena, they tend to form a nice distribution. Understanding these distributions is an active area of applied analysis...

Given a set T of distinct \delta-tubes and a set P of disjoint \delta-balls in R^n, the set of incidences between T and P is defined as I(P,T)={(p,l)∈P×T:p∩l≠∅}. The well-known Szemeredi-Trotter theorem in combinatorics studies a discrete analogue...