Universität Wien
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250155 VU Cosmic Structures: Theory, Numerics and Statistics (2022W)

6.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work
ON-SITE
Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 04.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 11.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.10. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 28.10. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 04.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 08.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 11.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 15.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 18.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 22.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 25.11. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 29.11. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 02.12. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.12. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 09.12. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.12. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 16.12. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 10.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 13.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 17.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 20.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 24.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 27.01. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 31.01. 10:45 - 11:30 Seminarraum 7 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The formation of complex structure in our Universe from quantum fluctuations is one of the key topics of modern cosmology. The goal of this course is to study the wide range of theoretical techniques (analytical, numerical, statistical) used in the context of cosmic structure formation. The course will provide a concise introduction to cosmology with a focus on the large-scale structure (i.e. the inhomogeneous distribution of matter on large scales). We will motivate the key equations and then approach their solutions and the associated phenomenology using various techniques. This course is aimed at a broad audience of students in applied mathematics, physics, astrophysics, or computational science. We will touch on a wide range of topics in applied mathematics such as (not in chronological order)
- random fields, excursion sets
- spatial statistics: correlation functions, power spectrum
- analytical methods for PDEs and ODEs, perturbation theory and asymptotic methods
- numerical solutions of PDEs and ODEs,
- numerical N-body methods, and
- data analysis
Also the relevant (astro-)physical concepts in cosmology (inflation, cosmic microwave background, Newtonian gravity in an expanding universe, the Vlasov-Poisson system, …) will be introduced and discussed.

An important aspect of the course will be hands-on exercises based on (1) numerical experiments with Python, as well as (2) analytical/perturbative calculations.

Some familiarity with Python is helpful. Please note that familiarity with General Relativity/Differential Geometry or Astrophysics is not a pre-requisite for this course.

Assessment and permitted materials

The final mark will come from 4 homework problem sets, as well as a short focus project paper (i.e., a more in-depth follow-up study of one of the topics of the course, topics will be suggested and mutually agreed upon).

Minimum requirements and assessment criteria

Minimum requirement: at least 50% of points on homework problems, and submission of a 4-5 page write-up of a small ‘focus’ project at the end of term.

Final mark will be 67% homework, 33% focus project paper. Homework can be done in groups, focus project must be carried out and submitted individually.

Examination topics

Reading list

Lecture notes will be provided ahead of each session through moodle.

Association in the course directory

MAMV

Last modified: We 28.09.2022 19:09