Teaching

Current semester's teaching

Lie Groups and Lie Algebras

Website: https://mycourses.aalto.fi/course/view.php?id=47241

Materials: 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)