Teaching

2023-2024

Semester October 2023 to February 2024.

• Basic Category Theory Pedagogical lecture course.
• Probability Theory Pedagogical lecture course for Erasmus students.
• Topology Pedagogical lecture course for Erasmus students. Notes on Cantor set.

Semester March to June 2024.

• Quantum Information Theory Pedagogical lecture course.
• Scholarly English Student seminar course. Notes on English grammar. Notes on explaining mathematics.

2022-2023

Semester October 2022 to February 2023.

• Basic Category Theory Pedagogical lecture course.
• Analysis III Pedagogical lecture course for Erasmus students.

Semester March to June 2023.

• New Trends: Multipliers Pedagogical lecture course.
• Scholarly English Student seminar course. Notes on English grammar. Notes on explaining mathematics.

2021-2022

Semester October 2021 to February 2022.

• Basic Category Theory Pedagogical lecture course.
• The Banach-Tarski Paradox Pedagogical lecture course. Lecture notes.
• Master Seminar I Student seminar course.

Semester March to June 2022.

• New Trends: Multipliers Pedagogical lecture course.
• Scholarly English Student seminar course.
• Diploma Seminar II Student seminar course.

2020-2021

At the University of Bialystok I was responsible for two courses in the semester October 2020 to February 2021.

• The Banach-Tarski paradox Pedagogical lecture course. Lecture notes.
• Master seminar I Student seminar course. Summary of the main points we discussed.

In the semester March to June 2021 I taught three courses.

• New Trends: Multipliers Pedagogical lecture course.
• Quantum Information Theory Pedagogical lecture course.
• Scholarly English Student seminar course with the goal of developing mathematical English skills.

2019-2020

I was free to do research for all of 2019!

During spring 2020 I supervised a group of students from Chalmers University of Technology and the University of Gothenburg during their Bachelor project on the Banach-Tarski Paradox.

2018

At the University of Saskatchewan I was responsible for the Calculus 1 Math 110 course in spring 2018 and the Calculus 2 Math 116 course in summer 2018, based on Stewart's Calculus: early transcendentals. As part of these courses I produced several resources, available here.

• Formula sheet.
• Calculus 1 notes and sample exam questions with solutions.
• Calculus 2 notes and sample exam questions with solutions.

Please let me know if you notice any mistakes in these notes. I have also produced other resources, including a collection of exam questions and solutions for these courses; any instructor who would like a copy of any of these documents is welcome to contact me.