A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
Gauge-invariant cosmological perturbations
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Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
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Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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How to deal with conformal and pure scale-invariant theories of gravity in d dimensions?
Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
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Planck 2018 results. X. Constraints on inflation
Updated Planck CMB measurements give ns = 0.9649 ± 0.0042, r < 0.056, confirm flatness at 0.4 percent, and show no evidence for scale-dependent features or non-slow-roll dynamics in the inflaton potential.
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The physics of gravitational waves
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.
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Lectures on Reheating after Inflation
Lecture notes providing a generic introduction to reheating after inflation, covering its theoretical, phenomenological, and observational aspects.