Courses

This course will be an introduction to world-sheet and space-time aspects of topological strings. Topics that will be discussed include: the world-sheet formulation of both the A and B model topological strings, axiomatics of topological string theories, categories of branes, string field theory

The course will give introduction into the structure of the Standard Model of particle physics and its field content. The emphasis will be made on the underlying principles, such as gauge invariance, cancellation of quantum anomalies, and Brout-Englert-Higgs mechanism. Effective low-energy

This course will explain why textbook quantum “theory” is merely a mathematical recipe rather than a proper physical theory. It will then cover the most serious obstacles to fixing this problem and to providing a clear metaphysics underpinning the mathematics of quantum theory. We will focus on key

We will study topics in theoretical physics through the lens of differential geometry and algebraic topology. The topics will be chosen among the following: differential forms on manifolds, homology, homotopy, de Rham cohomology, gauge theory and principal fiber bundles, nonperturbative effects and

We will study advanced topics in gravitational physics and their applications to high energy physics. After reviewing topics in differential geometry, including differential forms, Cartan's formalism, and the Gauss-Codazzi equations for the geometry of embedded hypersurfaces, we will address the

This course offers an introduction to general relativity (GR), focusing on the core principles of Einstein's theory of gravity. We will explore key topics such as the equivalence principle, some essential concepts in differential geometry, the Einstein-Hilbert action, and Einstein's field equations

This course introduces the functional integral formalism, the renormalization group, and non-abelian gauge theory. Additional topics may be covered as time allows.

This series is a crash course introduction to a handful of advanced topics designed to tackle the general problem of how to engineer Positive Operator-Valued Measures (POVMs) using observable building blocks, the so-called Instrument Manifold Program. This program emerged from a recent fundamental

The aim of this course is to explore the main ideas of the statistical physics approach to critical phenomena. We will discuss phase transitions, using the ferromagnetic phase transition and the Ising model as our primary example. The renormalisation group approach will be an important part of this

In the last few years, a new perspective on probabilistic reasoning has been extensively developed with the help of tools from category theory. The idea is to shift focus from the measure-theoretic details to structural properties of information flow in the presence of uncertainty - independence

Scroll down to Registration and Enrollment to participate. Structure: We will discuss 8 papers which had huge impact in physics. One week Instructor Pedro Vieira will discuss a paper; students should read it beforehand. One week later students discuss recent papers referring to that paper (20 min