Scheda insegnamento

Anno Accademico 2022/2023

Conoscenze e abilità da conseguire

This course is intended to present the current understanding of the main advanced topics in Cosmology. After completing the course, students will acquire a thorough and updated knowledge of modern cosmological frameworks, with particular focus on dark matter and dark energy models, and on all the main cosmological probes. Furthermore, they will learn the primary statistical methods of modern observational Cosmology.


  • General Relativity
    fields; space and time; curved spaces; basic equations; action; symmetries and interpretation; Newtonian limit; the field of a mass
  • Analysis and inference
    Bayesian analysis; likelihood, prior and posterior functions; data analysis techniques; Fisher matrix; Monte Carlo Markov Chains; machine learning for Cosmology
  • The concordance cosmological model
    the thermal history of the Universe; the cosmic web; dark components
  • The expanding Universe
    expanding space; distances; evolution of energy; cosmic inventory
  • The fundamental equation of Cosmology
    Einstein equations; Boltzmann equation; beyond the homogeneous Universe
  • The origin of species
    Big Bang nucleosynthesis; recombination; dark matter
  • The inhomogeneous Universe
    the Boltzmann equation for photons, cold dark matter, baryons and neutrinos; scalar-vector-tensor decomposition; the Einstein equations for scalar perturbations; tensor perturbations
  • Growth of structure: linear theory
    large scales; small scales; the transfer function; the growth factor
  • Growth of structure: beyond linear theory
    perturbation theory; simulations; dark matter haloes; the halo model
  • Probes of structure: tracers
    statistics of galaxies, galaxy clusters and cosmic voids; angular and 3D clustering; bias; baryon acoustic oscillations; redshift-space distortions; geometric distortions
  • Numerical tools


  • General Relativity: The Essentials - Carlo Rovelli
    Cambridge University Press

  • Modern Cosmology Second Edition - Scott Dodelson, Fabian Schmidt
    Academic Press

  • Lecture slides, notes and selected scientific papers

Metodi didattici

Oral lectures and laboratories of data analysis

Modalità di verifica e valutazione dell'apprendimento

The exam is oral. It starts with a discussion on a specific topic chosen by the student. Then it follows with questions on all other arguments covered in the course, with the aim of verifying the acquired knowledge on both theoretical and observational aspects of modern Cosmology.

Strumenti a supporto della didattica

Blackboard and presentations of slides.

Orario di ricevimento

Consulta il sito web di Federico Marulli