The Landau levels of a two-dimensional electron system support a plethora of fascinating many-body ground states and collective low-energy excitations, thanks to enhanced electron-electron interactions and the characteristics of the LL wave functions. The n=1 LL is particularly fascinating as it hosts even-denominator fractional quantum Hall…

I will describe constructions of lattice field theories that assign a single bosonic variable to each site, rather a conjugate pair x,p. The information to realize a non-trivial dynamics is realized by non-trivial Poisson brackets between nearest neighbors. The construction is similar to staggered fermions in 1+1…

I will discuss work in progress with M. Disconzi on spherically symmetric solutions to the Einstein– Euler equations. The main result is local well-posedness for a class of initial data satisfying the physical vacuum condition. This is the first rigorous existence result for a model of a dynamic, self-gravitating relativistic gaseous star with…

The fractional quantum Hall effect, first observed some four decades ago, is a system where Anyons - particles of fractional charges and fractional quantum statistics - flourish. In the last year, several important developments have brought the physics of Anyons back into the limelight. In particular, Anyons were shown to be quantum…

I will summarize recent results on the large N limit of path integrals of 3d SCFTs arising on the worldvolume of N M2-branes placed on compact Euclidean manifolds. The leading N^3/2 term in the large N expansion of these "free energies" receives 1/N, log(N), as well as exponentially suppressed corrections that can be…

** **The Miura transformation is a powerful formalism to construct generators of vertex operator algebras in free field representation. In this talk, I will explain that Miura operators are R-matrices of a certain quantum algebra, and comment on physical implications. I will also describe how to…

I will introduce two new families of critical string theories in two dimensions and explain that, when viewed as two-dimensional quantum gravity on the worldsheet, each is equivalent to a matrix model. The first worldsheet string theory consists of Liouville CFT coupled to timelike Liouville CFT. Its dual double-scaled…

Groups of cells of all kinds work together as part of multicellular behaviors ranging from collective migration to development. These behaviors are coordinated at the level of single cells, where information about other cells and the environment are encoded in intracellular signaling dynamics that then drive cellular-level behaviors. We face…

In 2022, the Event Horizon Telescope collaboration revealed the first images of the shadow of our Milky Way supermassive black hole, Sagittarius A* (Sgr A*). Since its detection in the mid-70s, this bright radio source in the Galactic center has been shrouded in a veil of mystery. The Nobel-awarded stellar orbits…

Lévy matrices are symmetric random matrices whose entry distributions have power law tails and infinite variance. They are predicted to exhibit an Anderson-type phase transition separating a region of delocalized eigenvectors from one with localized eigenvectors. We will discuss the context for this conjecture, and describe a result…

Stellar streams, the tidal remnants of globular clusters and dwarf galaxies orbiting throughout the Milky Way’s halo, are some of the most powerful tools in the study of near-field cosmology. In particular, they are sensitive probes of the distribution and properties of dark matter across multiple scales, from the smallest subhalos, to the…

In this talk, I will review a simple derivation of an integral kernel formula for the partition function of T Tbar deformed CFT based on the holographic single trace T Tbar deformation and its generalization to J Tbar and J Jbar deformations. I will then describe the application of this formalism to…

Growth is central to life, shaping physiology, ecology, and evolution. In this talk, I discuss our efforts to elucidate the causes and consequences of bacterial growth across scales. Starting from resource allocation models and the molecular and energetic demands of protein synthesis, I first introduce how bacterial cells adjust their…

The gravitational perturbations of a rotating Kerr black hole are notoriously complicated, even at the linear level. In 1973, Teukolsky showed that their physical degrees of freedom are encoded in two gauge-invariant Weyl curvature scalars that obey a separable wave equation. Determining these scalars is sufficient for…

Holographic tensor networks model AdS/CFT, but so far they have been limited by involving only systems that are very different from gravity. Unfortunately, we cannot straightforwardly discretize gravity to incorporate it, because that would break diffeomorphism invariance. In this talk I will present a resolution,…

The Phi^4, and generally Phi^p measures, which are extensively studied in quantum field theory, also occur naturally as invariant Gibbs measures for certain (dispersive) Hamiltonian PDEs and parabolic SPDEs. A fundamental question is to rigorously justify the invariance of such measures under said dynamics, which leads to deep questions in the…

A perturbed black hole rings down by producing radiation at certain fixed (complex) frequencies - the quasinormal frequencies. These frequencies can be identified with the spectrum of a non-self adjoint operator derived from the evolution equation of the particular field of interest. Thanks to accurate measurements of…

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