Past Events

In 1962, Tutte proposed a simple method to produce a straight-line embedding of a planar graph in the plane, known as Tutte's spring theorem. This construction provides not only one embedding of a planar graph, but infinite many distinct embeddings...

An increasingly common viewpoint is that protein dynamics data sets reside in a non-linear subspace of low conformational energy. Ideal data analysis tools should therefore account for such non-linear geometry. The Riemannian geometry setting can be...

Many natural and social phenomena involve individual agents coming together to create group dynamics, whether the agents are drivers in a traffic jam, cells in a developing tissue, or locusts in a swarm. Here I will focus on the specific example of...

In the late 90's, Keating and Snaith used random matrix theory to predict the exact leading terms of conjectural asymptotic formulas for all integral moments of the Riemann zeta-function. Prior to their work, no number-theoretic argument or heuristic...

In this talk, we will share a new evolutionary but ensemble method, that enable us to track different regimes of behavior and identify when the changes occurred. As opposed to traditional methods that relies on statistical change tracking to detect...

The moduli space of Higgs bundles on a complex algebraic curve — an object that originates from Yang-Mills theory in theoretical physics, but which now lies at the interface of algebraic geometry and geometric representation theory — is perhaps best...

We investigate the weak solvability and properties of weak solutions to the Dirichlet problem for a scalar elliptic equation Δu+b(α)⋅∇u=f in a bounded domain Ω⊂ℝ2containing the origin, where f∈W−1q(Ω) with q>2 and b(α):=b−αx|x|2 , b is a divergence...

Adinkras are decorated graphs that encapsulate information about conjectural relationships between fundamental particles in physics. If we color the edges of an Adinkra with a rainbow of shades in a specific order, we obtain a special curve that we...

Let B be a normed space and let A be a subspace. When does a continuous linear functional on A admit a unique norm-preserving extension to B? If A and B are C*-algebras and the functional is a so-called pure state, this question was at the heart of a...

Arithmetic Statistics is an emerging subbranch of Number Theory where we count arithmetic objects when bounded by some quantitative invariant, like height. One example is counting polynomials with integer coefficients having a fixed Galois group...