Past Events

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...

The signs of the entries of a real matrix can give insight into the eigenvalues of the matrix. A well-known example is the Perron Frobenius theorem for matrices that have no negative entries. As an inverse eigenvalue problem, one can ask for the...

We study the thermal decay of bubble oscillations in an incompressible fluid with surface tension. Particularly, we focus on the isobaric approximation [Prosperetti, JFM, 1991], under which the gas pressure within the bubble is spatially uniform and...

We prove some Szemeredi-Trotter type estimates for tubes in the plane under some natural assumptions. Joint works with Ciprian Demeter and with Shukun Wu (in progress), which are based on the Furstenberg sets estimate proved by Orponen-Shmerkin, and...

In this third part, we will discuss orientations of manifolds, Poincaré duality, and the intersection product.

We show that \((n,d,\lambda)\)-graphs with \(\lambda=O(d/log^3n)\) are universal with respect to all bounded degree spanning trees. This significantly improves upon the previous best bound due to Han and Yang, and makes progress towards a problem of...

Influential work of Hodge from the 1940s led the way in using Gröbner bases to combinatorially study the Grassmannian. In this talk, we will follow Hodge's approach in order to investigate certain subvarieties called positroid varieties. Positroid...

In the colored asymmetric simple exclusion process, one places a particle of "color" −k at each integer site k∈ℤ. Particles attempt to swap places with an adjacent particle: at rate q∈[0,1) if they are initially ordered (e.g., 1 then 2) and at rate 1...

Spin glasses are disordered statistical physics system with both ferromagnetic and anti-ferromagnetic spin interactions. The Gibbs measure belongs to the exponential family with parameters, such as inverse temperature $\beta>0$ and external field $h...

The Moran process models the evolutionary dynamics between two competing types in a population, traditionally assuming a fixed population size. We investigate an extension to this process which adds ecological aspects through variable population...