Teaching experience

Lecturing experience

• Topology and Geometry for Physicists at the XIII Modave Summer School in Mathematical Physics, 10th - 16th September 2017, Modave, Belgium.
• Complex Geometry and Calabi-Yau Manifolds, a 12-lecture graduate course at the University of Cape Town, 2014 - 2015.

Teaching Assistant

• Quantum Chromodynamics, Examples Classes, Ludwig Maximilian University Munich, 2015 - 2016.
• Part III Quantum Field Theory, Examples Classes, University of Cambridge, 2013 - 2014.
• Part III String Theory, Examples Classes, University of Cambridge, 2010 - 2011.
• Part II Electrodynamics, Supervisions, University of Cambridge, 2010 - 2014.
• Part II General Relativity, Supervisions, University of Cambridge, 2012 - 2013.
• Part IB Maths for Natural Sciences, Supervisions, University of Cambridge, 2010 - 2014.

Research students supervised

• Marc Syväri, PhD student; Co-supervisor (with Dieter Lüst)
  Thesis: Non-geometric backgrounds in exceptional field theory.
• Marc Syväri, Master's student; Co-supervisor (with Dieter Lüst)
  Thesis: Non-geometric fluxes from exceptional field theory.

Lecture Notes and Examples Sheets

Below are lecture notes and examples sheets for some of the courses I taught.

Topology and Geometry for Physicists

Here are my extended lecture notes, including exercises, for a 5-hour graduate course on "Topology and Geometry for Physicists" that I lectured in September 2017 at the XIII Modave Summer School in Mathematical Physics. The course covers homotopy theory, homology, cohomology and hodge theory, and fibre bundles. The complete lecture notes can be found here (published version). Otherwise, click below for the individual chapters.

• Chapter 0.
• Chapter 1.
• Chapter 2.
• Chapter 3.
• Chapter 4.
• Chapter 5.

Complex Geometry and Calabi-Yau Manifolds

Here are my lecture notes, including exercises, for a course on "Complex Geometry and Calabi-Yau Manifolds" that I lectured during the academic year 2014 - 2015 at the University of Cape Town.

• Chapter 1.
• Chapter 2.
• Chapter 3.
• Chapter 4.
• Chapter 5.
• Chapter 6.
• Chapter 7.
• Chapter 8.

Part III Quantum Field Theory

Here are the examples sheets and solutions for QFT in Michaelmas term 2013 - 2014.

• Examples Sheet 1. Solutions.
• Examples Sheet 2. Solutions.
• Examples Sheet 3. Solutions.
• Examples Sheet 4. Solutions.

Typed notes for this course can be found here. Note that Raven login is required. You can contact Alice Harpole (ah631 AT cam DOT ac DOT uk) for access if you are not at Cambridge.

Further good notes are David Tong's QFT lecture notes (does not cover Path Integral methods) and also Hugh Osborn's AQFT notes for the Path Integral.