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 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...

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.

Papadakis and Petrotou showed that anisotropy of a quadratic form implies the Hard Lefschetz theorem for simplicial spheres in characteristic 2. In this talk, I will explain how we used an integration map to define a mixed volume on spheres, which is...

In this talk, I will introduce an SIS patch endemic model with cognitive dispersal. When $\mathcal{R}_0>1$, I give a sufficient condition for the uniqueness of endemic equilibrium. At the unique endemic equilibrium, I prove that the disease...