Video Lectures

Recent cosmological data hint at a neutrino mass sum below the minimum value physically allowed by neutrino oscillations, with a preference for the opposite of massive neutrinos. Within ΛCDM, Planck CMB, ACT+Planck+SPT CMB lensing and DESI DR2 BAO...

Since their inception, random graphs have been a central topic in probability and combinatorics, offering a remarkably rich landscape for studying how complex structures emerge from randomness. We will discuss the following fundamental questions...

The van der Waerden number w(k;r) is the minimum positive integer N such that every r-coloring of the positive integers up to N contains a monochromatic k-term arithmetic progression. Estimating these numbers has remained a challenging open problem...

A key property of a global symmetry's anomaly is its order: the smallest integer n for which the diagonal symmetry of the n-copy system is anomaly-free. While many familiar lattice anomalies have finite order, perturbative anomalies in the continuum...

Dark matter is one of the central open problems in fundamental physics. Many well-motivated candidates interact with the Standard Model through portals beyond gravity, yet to date the most robust evidence for dark matter remains purely gravitational...

Recently, the LZ experiment reported a single event consistent with a nuclear recoil - a potential signature of dark matter. I’ll discuss the experiment, the event, and what scenarios people are discussing. I’ll mention some future scenarios that...

We will give an introduction to Reeb vector fields on odd-dimensional manifolds; these are a special case of more general vector fields whose dynamics will be studied in the Special Year. Much more is known about Reeb vector fields in three...

Transient surveys and follow up efforts are providing a wealth of new data on the variety of ways in which tidal disruption events manifest across the electromagnetic spectrum. Understanding these light curves and spectra are key to using these...

I want to share discoveries made by GPT-6 Astra last week, providing an elegant new idea for questions I wondered about for years. All new theorems stated in this talk are fully formalised in Lean.

A self-similar measure is a stationary measure from...