Teaching
Current semester's teaching
Lie Groups and Lie Algebras
• Website: https://mycourses.aalto.fi/course/view.php?id=47241
• Materials: Lecture Notes
Lecture Notes
Past Courses
Complex Analysis, Aalto University, 2025 Fall
Introduction to Formalized Mathematics in Lean, Aalto University, 2025 Spring
Complex Analysis, Aalto University, 2024 Fall
Lie Groups and Lie Algebras, Aalto University, 2024 Spring (incomplete lecture notes)
Metric spaces, Aalto University, 2024 Spring (lecture notes)
Topics in two-dimensional probabilistic models and conformal field theory, Aalto University, 2023 Spring
Metric spaces, Aalto University, 2023 Spring
Lie Groups and Lie Algebras, Aalto University, 2022 Spring (incomplete lecture notes)
Metric spaces, Aalto University, 2022 Spring
Large Random Systems, Aalto University, 2021 Spring (incomplete lecture notes) (Hand written lecture notes from 2015)
Metric spaces, Aalto University, 2021 Spring
Brownian motion and stochastic analysis, Aalto University, 2020 Spring
Euklidiset avaruudet, Aalto University, 2020 Spring (English course title: Euclidean spaces)
Lie Groups and Lie Algebras, Aalto University, 2019 Fall
Large Random Systems, Aalto University, 2019 Spring
Probability Theory, Aalto University, 2019 Spring (Hand written lecture notes from 2016)
Kompleksianalyysi, Aalto University, 2018 Fall (Finnish course title: Complex Analysis) (Hand written lecture notes)
Brownian Motion and Stochastic Analysis, Aalto University, 2018 Spring (Hand written lecture notes)
Probability Theory, Aalto University, 2018 Spring
Stokastiset prosessit, Aalto University, 2017 Fall (English course title: Stochastic Processes) (Hand written lecture notes)
Large Random Systems, Aalto University, 2017 Spring
Probability Theory, Aalto University, 2017 Spring
Hopf algebras and representations, Aalto University, 2016 Fall (Hand written lecture notes) (Typeset lecture notes from 2011)
Stokastiset prosessit, Aalto University, 2016 Fall (English course title: Stochastic Processes)
Large Random Systems, Aalto University, 2016 Spring
Probability Theory, Aalto University, 2016 Spring
Todennäköisyyslaskennan ja tilastotieteen peruskurssi, Aalto University, 2015 Fall (English title: First course in probability and statistics)
Symmetries, Aalto University, 2015 Fall (Hand written lecture notes)
Large random systems, Aalto University, 2015 Spring
Todennäköisyys ja statistinen fysiikka, University of Helsinki, 2014 Spring (English title: Probability and statistical physics)
Random conformally invariant curves, Iceland, 2011 (Summer School in Random Geometry, August 2011) (lecture notes)
Introduction to Hopf algebras and representations, University of Helsinki, 2011 Spring (lecture notes)








