SPA7027U/P: Differential geometry in gauge theory and gravity, Semester A 2024/2025
This course is part of the physics department’s MSci/Euro master’s program. The course covers differential forms/exterior algebras, manifolds, fiber bundles, gauge theory, Elie Cartan’s formulation of general relativity, and ends with a discussion of the bundle structure of monopoles and instantons.
MTH5113: Introduction to differential geometry, Semester B 2023/2024
Despite the name, not much differential geometry happens here. Rather, this is a vector calculus course. For actual differential geometry, you should take MTH6132: Relativity
Interesting saddles in 0
, 1 and 2 dimensions
(Click number for notes)
Amsterdam PhD student seminar series, 2020
Introduction to the black hole information paradox
(
homework
, solutions
)
Solvay School, 2019; CERN-SEENET-MTP-ICTP Summer school in Thessaloniki, 2024; LONTI, 2025 videos
The quantum Hall effect explained simply by a simple person (bis)
MIT Graduate Seminar, 2016
Lectures on Quantum field theory in de Sitter space
Modave Summer School, 2014
Anderson localization explained simply by a simple person
MIT Graduate Seminar, 2013
Is Spacetime a Material?
Zewail City of Science, Technology and Innovation, Cairo 2024
What does a theoretical physicist do all day-really?
Cairo American College, 2020
The importance of observation and other unfortunate issues
Cairo Institute of Liberal Arts and Sciences, 2014
Black holes and cosmic roles
Science in the News, Boston, 2011