Past Events

Over the last two decades we have developed good understanding of how to quantify the impact of strategic user behavior on outcomes in many games (including traffic routing and online auctions) and showed that the resulting bounds extend to repeated...

The Legendre symbol is one of the most basic, mysterious and extensively studied objects in number theory. It is a multiplicative function that encodes information about whether an integer is a square modulo an odd prime p. The Legendre symbol was...

The main object of this talk is the family of commutative Bethe subaglebras in the Yangian. It is a natural family of commutative subalgebras of the Yangian parameterized by the simple adjoint Lie group. In my talk I will discuss how this family is...

We often encounter matrices whose pattern (zero-nonzero, or sign) is known while the precise value of each entry is not clear. Thus, a natural question is what we can say about the spectral property of matrices of a given pattern. When the matrix is...

Mathematics is a jungle: A jubilee of flowering plants and mysterious animals. The mathematician is a naturalist, describing the behaviours of whatever she encounters on her tours. With the advent of computers and modern technologies, the dispatches...

Let M be a smooth submanifold of R^n equipped with the Euclidean(chordal) metric. This talk will consider the smallest dimension, m, for which there exists a bi-Lipschitz function f:M →R^m with bi-Lipschitz constants close to one. We will begin by...

The conformal Assouad dimension is the infimum of all possible values of the Assouad dimension after a quasisymmetric change of metric. We show that the conformal Assouad dimension equals a critical exponent associated with the combinatorial modulus...

Manin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. Mainly with Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I...

A huge challenge for quantum gravity that has impeded the theory's development is how difficult it is to perform experiments. This is mainly because the Planck scale - the energy scale at which both quantum and gravitational effects are inextricably...

Take the moment curve in R^n. Let E be a fractal set of Hausdorff dimension s. We will discuss the orthogonal projection of E along tangent lines of the moment curve, in particular, their Hausdorff dimensions.