Liouville theory was introduced by A. Polyakov in 1981 as the theory governing the conformal factor in the summation over all 2d Riemannian metrics. In recent years it has undergone extensive study in the probability community, and numerous conformal field theory (CFT) predictions have been established at a mathematical level of rigor…
We prove that the fluctuations of the eigenvalues converge to the Gaussian Free Field (GFF) on the unit disk. These fluctuations appear on a nonnatural 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 “selforganizing” interactions among individuals. One mechanism leading to selforganized 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…
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 “selforganizing” interactions among individuals. One mechanism leading to selforganized animal aggregations is captured by Hamilton’s “selfish herd” hypothesis, which…
We study a class of treelevel ansatzes for 2→2 scalar and gauge boson amplitudes inspired by stringy UV completions. These amplitudes manifest Regge boundedness and are exponentially soft for fixedangle high energy scattering, but unitarity in the form of positive expandability of massive residues is a nontrivial consistency condition. …
 Aaron HillmanAffiliationPrinceton UniversityPresentationTBA
 Aaron HillmanAffiliationPrinceton UniversityPresentationStringy Completions of the Standard Model from the Bottom Up
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 threedimensional…
The 2012 discovery of the Higgs boson with the Large Hadron Collider (LHC) was a groundbreaking achievement for high energy physics. Remaining puzzles such as dark matter confirm the need for beyond the Standard Model physics, and the Higgs boson can be used as a compass to determine its nature. This talk focuses on novel ATLAS…
The mass of the W boson, a mediator of the weak force between elementary particles, is tightly constrained by the symmetries of the standard model of particle physics. The Higgs boson was the last missing component of the model. After observation of the Higgs boson, a measurement of the W boson mass provides a stringent test…
 Bo JayatilakaAffiliationFermilab

I shall review recent progress in computing Dinstanton contribution to string theory amplitudes
https://theias.zoom.us/j/84116605050?pwd=VHV6VkRUM3hkM2dFSlo2QWJiUWtPdz09
Most cosmological data analysis today relies on the FriedmannLemaitreRobertsonWalker (FLRW) metric, which provides the basis of the current standard cosmological model. Within this framework, interesting tensions between our increasingly precise data and theoretical predictions are coming to light. It is therefore interesting to explore the…
Superresolution optical microscopy has become a powerful tool to study the nanoscale spatial distribution of molecules of interest in biological cells, tissues and other structures over the last years. Imaging these distributions in the context of other molecules or the general structural context is, however, still challenging. I will present…
Recent studies revealed that wormhole geometries play a central role in understanding quantum gravity. After disorderaveraging over random couplings, SachdevYeKitaev (SYK) model has a collective field description of wormhole saddles. A recent paper by Saad, Shenker, Stanford, and Yao studied the SYK model with fixed couplings and found that…
At the center of our Milky Way Galaxy lives a compact massive object called Sagittarius A* (Sgr A*) which is believed to be a black hole. Its mass, as inferred from the orbits of gravitationally bound stars as well as from direct images obtained by the Event Horizon Telescope, is 4 million solar masses. Gas accreting gravitationally on Sgr A*…
Transformative discoveries in particle physics are driven by advances in instrumentation. The development of largemass, lowenergy threshold experiments is pushing the frontier of rare event searches. The existence and nature of Dark Matter (DM), one of the most exciting mysteries of modern Physics, might be within the reach of the next…
Elucidating the particle nature of dark matter is one of the great quests in fundamental physics. The QCD axion, originally motivated as a solution to the strong CP problem, is a compelling candidate. In this talk, I review axion detection and introduce the Princeton Axion Search (PXS), which aims to probe QCD axions in the 0.82 ueV mass…
I will give an overview over recent results on meanfield spinglass models with a transversal magnetic field. For such models both thermodynamic quantities such as the free energy and its fluctuations, as well as spectral and localization properties of eigenvectors are of interest to a diverse list of communities. A full mathematical analysis…
Recent observations from the Event Horizon Telescope (EHT) collaboration provide resolved, quantitative measurements of synchrotron emission from the plasma around the nearby supermassive black holes at the centers of our galaxy and the nearby M87 galaxy. Combined with multiwavelength observational data from other scales, the eventhorizon…
Based on the framework proposed in 2007.00845 and 2106.10300, we present a class of lattice models of Majorana fermions, that possess two sectors of manybody scar states.
These scar states, realized as group singlets of certain large rank group, generalize the etapairing states and zeta states in FermHubbard model.
They…
A central challenge of modern physics is understanding the behavior of strongly correlated matter. Current knowledge of such systems is limited on multiple fronts: experimentally, these materials are often difficult to fabricate in laboratory settings, and numerical simulations become intractable as the number of particles…
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