Past Events

In this talk, I will discuss a conjecture made by Fässler and Orponen on the restricted projections in R^3. In the first part, I will introduce some background on the projection problems and its relation with Furstenberg set problem and Szemerédi...

In this talk, I will introduce two SIS reaction-diffusion epidemic models with cognition, and the cognitive diffusion either takes a Fokker-Planck type diffusion obtained by Chapman's diffusion law (called random diffusion) or follows Fick's...

We will present the "method of killing homotopy groups" due to Cartan and Serre in the 1950s, a method to compute some homotopy groups of spheres. The method relies on the Hurewicz theorem and the Serre spectral sequence of the fibration that kills...

The quality of the triplet $(a,b,c)$, where $\gcd(a,b,c) = 1$, satisfying $a + b = c$ is defined as $$ q(a,b,c) = \frac{\max\{\log |a|, \log |b|, \log |c|\}}{\log \mathrm{rad}(|abc|)}, $$ where $\mathrm{rad}(|abc|)$ is the product of distinct prime...

Topology is the branch of mathematics concerned with shapes and their spatial properties. In this talk I’ll show how several ideas from classic algebraic topology – like cohomology, classifying spaces and vector bundles – can be used in machine...

In this talk I will talk about some of my favorite problems which remain open in the field of continuous-time quantum walks in graphs.

I will report on joint work with Billerey, Dieulefait, Freitas, and Najman in which we develop some of the necessary ingredients to use Frey abelian varieties in the modular method, inspired by ideas from Darmon's program for resolving generalized...

A broadcast on a connected graph G with vertex set V(G) is a function f:V(G) ➛ {0, 1, ..., diam(G)} such that f(v) ≤ e(v), where e(v) denotes the eccentricity of v. If f(v) > 0, the vertex v is said to broadcast at strength f(v). In generalizing...

Data science involves the collection, management, processing, analysis, visualisation and interpretation of huge amounts of data. It is a multi-disciplinary field that integrates systematic thinking, methodology, process and technology to develop...

The method of cutting and stacking has long been used in ergodic theory. As a useful tool for constructing stationary and ergodic processes with desired properties, this method should also be powerful in solving information theoretic problems. In...