Liouville quantum gravity (LQG) is a theory of random surfaces that originated from string theory. Schramm Loewner evolution (SLE) is a family of random planar curves describing scaling limits of many 2D lattice models at their criticality. Before the rigorous study via LQG and SLE in&nbsp…

Heavy-ion collision experiments have provided overwhelming evidence that quarks and gluons can flow as a nearly frictionless, strongly interacting relativistic fluid over distance scales not much larger than the size of a proton. On the other hand, with the dawn of the multi-messenger astronomy era marked by the detection of a binary neutron…

Holography relates quantum many-body systems to gravitational theories. Quantum entanglement plays a key role to explain how the spacetime geometries in gravity emerge from quantum systems. A new class of holography can be found by introducing so called end-of-the-world branes and has been actively studied recently. Such holographic models…

In the gauge/string duality, Wilson loop operators are dual to
open string minimal surfaces anchored on the loop at the boundary of AdS.
In the simplest example, a circular Wilson loop corresponds
to an open string worldsheet with AdS2 geometry. The scattering amplitudes
of the worldsheet fluctuations are…

 In this talk, I’ll survey some of the major open questions in particle physics and make the case that they can best be addressed by a qualitatively new type of particle accelerator: a high-energy muon collider.  Recent progress on long-standing accelerator and detector challenges make such a collider a compelling…

In response to the COVID-19 global pandemic, academic institutions, student programs and the entire world were forced into virtual only formats. Now that we are post-pandemic, there are lessons that can be permanently adopted from this experience that will lead to greater inclusion, accessibility, and connection amongst students. In this talk I…

We prove that the fluctuations of the eigenvalues converge to the Gaussian Free Field (GFF) on the unit disk. These fluctuations appear on a non-natural scale, due to strong correlations between the eigenvalues.

Then, motivated by the long time behaviour of the ODE \dot{u}=Xu, we give a precise estimate on the eigenvalue with the…

Aggregations are common in biological systems at a range of scales and may be driven by exogenous constraints such as environmental heterogeneity and resource availability or by “self-organizing” interactions among individuals. One mechanism leading to self-organized animal aggregations is captured by Hamilton’s “selfish herd” hypothesis, which…

In this talk I will present recent work on the rigorous justification of the geometric optics approximation for the Einstein vacuum equations, and its link with the Burnett conjecture in general relativity. I will start by presenting the initial value problem for the Einstein vacuum equations formulated in wave coordinates. Then I will give the…

Intestinal organoids capture essential features of the intestinal epithelium such as crypt folding, spatial compartmentalization of different cell types, and cellular movements from crypt to villus. Each of these processes and their coordination in time and space requires patterned physical forces. I will present maps of the three-dimensional…