## Teaching

Lie Groups and Lie Algebras, Jan-Mar 2021, Heriot-Watt University F10PD/F11PF

- Quantitative Methods 1, Sep-Dec 2021, 2019, Heriot-Watt University, F78QT
Mathematics for Engineers and Scientists 1, Sep-Dec 2018, Heriot-Watt University, F17XA

Discrete Mathematics, Sep-Dec 2021, 2020, 2019, 2018, 2017, 2016, 2015, 2014, Heriot-Watt University, F19PB

Linear Algebra, Sep-Dec 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, Heriot-Watt University, F18CF

Lectures on Supersymmetry, Apr-Jun 2009, Trinity College Dublin, Homepage

- Lecture on “Adjusted Higher Gauge Theory and Applications in Physics”, during the workshop “String and M-Theory: TNG21CII”, National University of Singapore, 25.11.2021
- “From Category Theory to the Large Hadron Collider and Beyond”, Inaugural Lecture, Heriot-Watt University, 29.9.2021,

see here for the video - Lecture on “Scattering Amplitudes and Feynman Diagrams from Homotopy Algebras”

during the workshop “Homotopy Algebra of Quantum Field Theory and Its Application”, Yukawa Institute for Theoretical Physics, Kyoto, 24.3.-31.3.2021 - Lectures on “Perturbative Quantum Field Theory with Homotopy Algebras”

during the 40th “Winter School on Geometry and Physics”, Srni, January 2020,

see here for the material - Lecture on “Higher Gauge theories and superconformal field theories in six dimensions”, during the workshop “String and M-Theory: TNG21CI”, National University of Singapore, 10.12.2018,

see here for the video - Introductory lectures on “Higher Structures in M-theory”

Tohoku University, Sendai, during the workshop “Higher Structures in String Theory and M-Theory”, 7.3.2016-11.3.2016.

Lecture Notes - Introductory lectures on Higher Gauge Theory

Erwin Schrödinger Institute, Vienna, during the ESI Program on Higher Structures in String Theory, 23.11.2015-4.12.2015. - Minicourse on “Nambu-Poisson algebras and their Quantization”

National Institute for Mathematical Sciences, Korea, during the NIMS Winter School on Quantum Gravity and Emergent Spacetime, 6.2.2012-10.2.2012. - Lecture on “Matrix Models and D-Branes in Twistor String Theory”

DESY, Hamburg, 18.1.2006. - Lecture on “The Penrose-Ward transform”

Joint Institute for Nuclear Research, Dubna, Russia, during the Advanced Summer School on Modern Mathematical Physics, 14.7.2005-26.7.2005.

Theoretical physics IV, summer term 2005

Quantum mechanics part II is intended to discuss all the fun aspects of quantum mechanics. The exercise sheets (together with some lecture notes) in German are found here.

Theoretical physiscs I, winter term 2004/2005

This course’s subject was classical mechanics, special relativity and electrodynamics; a little too much, if you ask me. There is a separate page for this class, where you find all the exercise sheets prepared by me.

General Relativity, summer term 2004

This class was taught by my fellow PhD student Martin Wolf and I was in charge of the exercise business. The web-page with further information is found here.

Theoretical Physics III, winter term 2003/2004

Theoretical Physics II, summer term 2003

Calculatory Methods for Physicists I, winter term 2002/2003

This course, which is supposed to teach new physics students the elementary methods of problem solving and calculating in physics, was really a pleasure to tutor. The refreshing way, Prof. Schulz taught his class together with his unconventional style seems always to achieve exceptional good results in preparing the students for their way through (theoretical) physics.

**Current PhD students**- Mehran Jalali Farahani, since Oct 2021
- Hyungrok Kim, since June 2019
- Dominik Rist, since Oct 2018
- Alice Clark, since Oct 2014

**Past PhD students**- Lennart Schmidt, “Higher Gauge Theory and M-Theory”,

Oct 2015 – Dec 2018, then postdoc at National University of Singapore - Getachew Alemu Demessie, “Higher Gauge Theory and M-Theory”,

Nov 2013 – Sep 2016, then Debre Markos University - Sam Palmer, “Higher Gauge Theory and M-Theory”,

Oct 2010 – Mar 2014, then postdoc at University of Dundee

- Lennart Schmidt, “Higher Gauge Theory and M-Theory”,
**Past MMath project supervision**- Craig Mackay, “The Banach-Tarski Paradox”, Sep 2021 – Nov 2021
- Emmeline Pearce, “Solving Matrix Models from Fuzzy Scalar Field Theory”, Sep 2019 – Nov 2019
- Dillan Stark, “Abelian Differential Cohomology”, Sep 2018 – Nov 2018
- Andrey Tin, “The Light Cone near a Black Hole”, Sep 2015 – Nov 2015

**Past BSc project supervision**- David Little, “Proof assistants and the natural numbers”, Jan 2022 – Mar 2022
- Craig Mackay, “Division by three”, Jan 2021 – Mar 2021
- Emmanouil Sfinarolakis, “The Temperley-Lieb algebras

as special IBA∞-algebras”, Jan 2021 – Mar 2021 - Matthew Dzediku, “Proving combinatorial identities using the Wilf–Zeilberger algorithm”, Jan 2020 – Mar 2020
- Callum MacAskill, “Proof assistants: Coq, Lean and basic group theory”, Jan 2020- Mar 2020
- Jonathan Munro, “Number Theory and The Coq Proof Assistant”, Jan 2020 – Mar 2020
- Patric Brydon, “The Twin Paradox in Compact Space”, Jan 2019 – Mar 2019
- Eline Nijdam, “Proof Assistants: Coq, Integers and the Curry-Howard Correspondence”, Jan 2019 – Mar 2019
- Frolent Ntoto, “Higher Category Theory”, Jan 2019 – Mar 2019
- Emmeline Pearce, “Solving Matrix Models”, Jan 2019 – Mar 2019
- Dillan Stark, “Gauge Theories”, Jan 2018 – Mar 2018
- Kathryn Eager, “Proof Assistants”, Jan 2018 – Mar 2018
- Andrey Tin, “Apparent Paradoxes in Special Relativity”, Jan 2015 – Mar 2015
- Hamza Ouared, “Higher Category Theory”, Jan 2015 – Mar 2015
- Amy Green, “Apparent Paradoxes in Special Relativity”, Jan 2014 – Mar 2014

**Other Project students**- Theo Harrison-Drummond (3rd year student, funded by Heriot-Watt University), “Proof Assistants and AI”, May 2022 – Jun 2022
- Emmanouil Sfinarolakis (3rd year student, funded by a Undergraduate Research Bursary of the London Mathematical Society), “Symmetry factors of Feynman diagrams and the homological perturbation lemma“, May 2020 – Jun 2020
- Eline Nijdam (3rd year student, funded by Carnegie Trust Vacation Scholarships), “Generalized Higher Gauge Theory with Generalized String Structures”, May 2018 – Jun 2018
- Connor Evans (3rd year student, funded by Carnegie Trust Vacation Scholarships), “Integrable Higher Gauge Field Equations”, May 2017 – Jun 2017
- Simone Rea (3rd year student), “The Phase Diagram of Scalar Field Theory on the Fuzzy Disc“, May 2015 – Jun 2015

“Life”

In January 2008, I gave a three-day seminar on various aspects of life for young students. Material to this seminar is found here.

“Problem solving”

In January 2007, I gave a three-day seminar on problem solving for highly gifted pupils. The notes to this seminar are found here.

“Epistemology”

During the school holidays in fall 2005, I gave a three-day seminar on epistemology for highly gifted pupils. Some background material can be found here.

of assisting discovery."