Talks

In this two-part lecture series, I will delve into the intricate interactions between neutrinos and matter. We will explore various processes involving (anti)neutrinos, such as quasielastic scattering, the inelastic production of mesons(pions, eta, etc.), and hyperons, and deep inelastic scattering from free nucleons. Additionally, we will cover topics like the Shallow Inelastic Region and Quark-Hadron Duality. Furthermore, we will qualitatively examine the significance of nuclear medium effects in the intermediate and high-energy regions within these processes.

Neutrinos have been assumed to have no mass. If neutrinos have mass, neutrino oscillations should occur. Neutrino oscillations were discovered by studying atmospheric and solar neutrinos. I will discuss the discovery of neutrino oscillations and the status of the oscillation studies.

Large neural networks are often studied analytically through scaling limits: regimes in which some structural network parameters (e.g. depth, width, number of training datapoints, and so on) tend to infinity. Such limits are challenging to identify and study in part because the limits as these structural parameters diverge typically do not commute. I will present some recent and ongoing work with Alexander Zlokapa (MIT), in which we provide the first solvable models of learning – in this case by Bayesian inference – with neural networks where the depth, width, and number of datapoints can all be large.

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A formulation of the 2-dimensional Ising model on a triangulated Riemann sphere is proposed that converges to the exact conformal field theory (CFT) in the continuum limit. The solution is based on reconciling Regge's simplicial geometry for the Einstein Hilbert action with an Affine map to quantum correlators on the tangent plane. Numerical tests of the 2d Ising sphere and radial quantized phi4 theory on $R x S^2$ are presented.  Extending the method to more general fields theories on curved manifolds is discussed. 

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