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…

In massless QED, we find that the classical U(1) axial symmetry is not completely broken by the Adler-Bell-Jackiw anomaly. Rather, it is resurrected as a generalized global symmetry labeled by the rational numbers. Intuitively, this new global symmetry in QED is a composition of the naive axial rotation and a fractional quantum Hall state…

The use of different perspectives on a problem is a very powerful principle in statistical physics, and has been especially important in mathematical physics. I will illustrate this theme with old and recent applications. These include the interpretation of QFTs at imaginary time as statistical fields, the relation of statistical fields to…

The formation and evolution of structures in the Universe is expected to be affected by the nature and properties of dark matter. For this reason, we can made use of cosmological and astrophysical observations to learn about dark matter. Unfortunately, there are multiple intrinsic complications associated to the search of those signatures: 1)…

Abstract: We propose an externally imposed superlattice potential as a platform for manipulating topological phases, which has both advantages and disadvantages compared to a moire superlattice. In the first example, we apply the superlattice potential to the 2D surface of a 3D topological insulator. The superlattice potential creates tunable…

I will first motivate the benefits on taking the algebraic approach to understand AdS/CFT and how an algebra of local operators of QFT has knowledge of a spacetime region. Utilizing both operator algebras and quantum information theory, I will explain a new framework for understanding nonperturbative gravitational aspects of bulk reconstruction…

The growing catalog of gravitational-wave signals from compact object mergers has allowed us to study the properties of black holes and neutron stars more precisely than ever before and has opened a new window through which to probe the earliest moments in our universe’s history. In this talk, I will demonstrate how current and future…

Tremendous progress has been achieved during the last years in bootstrapping conformal correlators at strong coupling using analytical bootstrap methods and the AdS/CFT correspondence. In particular, the development of Lorentzian inversion formulae revealed helpful in reconstructing four-point functions. In this talk I will present how this…

AstroCom NYC is an undergraduate mentoring program designed to improve urban minority student access to opportunities in astrophysical research by greatly enhancing partnerships between research astronomers in New York City (City University of New York – an MSI, American Museum of Natural History, and Flatiron Institute Center of Computational…

I will discuss the symmetries of (linearized) gravity and its interpretation as a gapless phase arising from the structure of mixed anomalies of these symmetries.

The urgency to probe biological dynamics is impeded by a major challenge: the large dynamic range of biological processes—interactions of molecules within milliseconds can lead to changes across the whole-organism over days to years. It calls for measurements with both high spatiotemporal resolution and large-scale long-term coverage. However,…

Motivated by holographic duality and the Ryu-Takyanagi formula, we ask the question, “What quantum problem are Einstein’s equations solving?” Answering this question amounts to dissecting or “deconstructing” AdS/CFT to identify the quantum-mechanical origins of spacetime and gravity. We propose a solution involving a class of dynamical…

**This interactive workshop on teaching strategies that can help promote student success, regardless of their gender**. The discussion will revolve around studies that education researchers have shown to be effective in narrowing gender gaps in student achievement, paying particular attention to a study involving …

Motivated from the Swampland program and combined with observational data, we argue that our universe enjoys one mesoscopic dimension of micron scale. We explain why the KK excitation of graviton in this extra dimension is a good candidate for the dark matter. Moreover we show that the Swampland dS conjecture naturally leads to the…

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