Teaching

Upcoming teaching

• Metric spaces

  Aalto University, Spring 2023 (period III).
  • lecture notes (incomplete)

    
    
• Special course: Mathematical aspects of Ising model and conformal field theory (tentative title)

  Aalto University, Spring 2023 (period V).

Past courses

• Metric spaces

  Aalto University, Spring 2022 (period III).
  • lecture notes (slightly incomplete)

    
    
• Lie Groups and Lie Algebras

  Aalto University, Spring 2022 (period IV).
  • lecture notes (incomplete)

    
    
• Metric spaces

  Aalto University, Spring 2021 (period III).
• Large Random Systems

  Aalto University, Spring 2021 (period IV).
  • lecture notes (incomplete)
  • hand written lecture notes from 2015

    
    
• Euklidiset avaruudet (Euclidean spaces)

  Aalto University, Spring 2020 (period III).
• Brownian motion and stochastic analysis

  Aalto University, Spring 2020 (period V).
• Lie Groups and Lie Algebras

  Aalto University, Fall 2019 (period II).
• Probability Theory

  Aalto University, Spring 2019 (period III).
  • lecture notes
  • hand written lecture notes from 2016

    
    
• Large Random Systems

  Aalto University, Spring 2019 (period IV).
• Kompleksianalyysi (Complex Analysis)

  Aalto University, Fall 2018 (period II).
  • käsinkirjoitetut luentomuistiinpanot

    
    
• Brownian Motion and Stochastic Analysis

  Aalto University, Spring 2018 (period IV).
  • hand written lecture notes

    
    
• Probability Theory

  Aalto University, Spring 2018 (period III).
• Stokastiset prosessit (Stochastic Processes)

  Aalto University, Fall 2017 (period I).
  • käsinkirjoitetut luentomuistiinpanot

    
    
• Large Random Systems

  Aalto University, Spring 2017 (period IV).
• Probability Theory

  Aalto University, Spring 2017 (period III).
• Hopf algebras and representations

  Aalto University, Fall 2016 (period II).
  • hand written lecture notes
  • typeset lecture notes from 2011

    
    
• Stokastiset prosessit (Stochastic Processes)

  Aalto University, Fall 2016 (period I).
  • käsinkirjoitetut luentomuistiinpanot

    
    
• Probability Theory

  Aalto University, Spring 2016 (period III).
• Large Random Systems

  Aalto University, Spring 2016 (period IV).
• Todennäköisyyslaskennan ja tilastotieteen peruskurssi (First course in probability and statistics)

  Aalto University, Fall 2015 (period II).

  
  
• Symmetries

  Aalto University, Fall 2015 (period I).
  • hand written lecture notes

    
    
• Large random systems

  Aalto University, Spring 2015.
• Todennäköisyys ja statistinen fysiikka (Probability and statistical physics)

  University of Helsinki, Spring 2014.

  
  
• Introduction to Hopf algebras and representations

  University of Helsinki, Spring 2011.
  • lecture notes

    
    
• Random conformally invariant curves

  Iceland, Summer School in Random Geometry, August 2011.
  • lecture notes