Teaching

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Lecture Notes

Course Year Notes
Numerical Analysis 2024 html, pdf
Dynamic Optimization 2024 on request

Lectures and Seminars

Course Institution Semester
Numerical Analysis (prospective) Aalto University 2025
Differentiaali- ja integraalilaskenta 1 (‘kevät’) (prospective) Aalto University 2025
Dynamic Optimization (prospective) Aalto University 2025
Differentiaali- ja integraalilaskenta 1 (SCI) (prospective) Aalto University 2024
Numerical Analysis Aalto University 2024
Dynamic Optimization Aalto University 2024
Differentiaali- ja integraalilaskenta 1 (TFM) Aalto University 2023
Numerical Analysis Aalto University 2023
Differentiaali- ja integraalilaskenta 1 (‘kevät’) Aalto University 2023
Dynamic Optimization Aalto University 2023
Differentiaali- ja integraalilaskenta 1 (CHEM) Aalto University 2022
Numerical Analysis Aalto University 2022
Dynamic Optimization (online) Aalto University 2022
Seminar on “Stochastic Differential Equations” Augsburg University 2019
Functional Analysis Ulm University 2018/19
Analysis III Ulm University 2018/19
Functional Analysis Augsburg University 2018
Seminar on “Convex Sets and Convex Functions” Augsburg University 2018
Preparatory Course “Brückenkurs” in Mathematics Augsburg University 2017/18
First course in probability and statistics Aalto University 2016/17
Stochastic Analysis University of Hamburg 2015/16
Stand-in lectures Institution Semester
Functional Analysis Bielefeld University 2015
Analysis II Bielefeld University 2014
Probability Theory I Technical University of Berlin 2011

Supervision of student projects

PhD projects

  • Quantitative asymptotics for stochastic evolution equations, PhD project, 2023–2027, Aalto University.

Master’s projects

  • Regularization by noise and McKean-Vlasov SDEs, 2024, Master’s project, Aalto University, joint supervision with Benjamin Jourdain, Ecole des Ponts ParisTech.

Bachelor’s projects

  • Existence, uniqueness, and stability of nonlinear initial value problems, 2024, Bachelor’s thesis, Aalto University.
  • Karakterististen käyrien metodi ja ratkaisun paikallinen olemassaolo ensimmäisen kertaluvun osittaisdierentiaaliyhtälöille (Method of characteristics and the existence of local solutions to first order partial differential equations), 2023, Bachelor’s thesis, Aalto University.
  • The heat equation as an abstract Cauchy problem, 2023, Bachelor’s thesis, Aalto University.
  • Pricing European options by Monte Carlo simulation, 2023, Bachelor’s thesis, Aalto University.
  • Asiakasprofiilin vaikutuksen vakiointi kotihoidon palveluajasta (Standardisation of the effect of patient characteristics on care time in home care), 2022, Bachelor’s thesis, Aalto University.

Co-supervision of student projects

Master’s and Diploma projects

  • Stochastische nichtlineare Schrödingergleichungen: Existenz und Eindeutigkeit von milden Lösungen in L2 (Stochastic nonlinear Schrödinger equations: Existence and uniqueness of mild solutions in L2),
    (Principal supervisor: Michael Röckner), 2015, Master’s thesis, Bielefeld University.
  • Extrapolation stationärer stochastischer Prozesse (Extrapolation of stationary stochastic processes),
    (Principal supervisor: Henrik Winkler), 2011, Diploma thesis, Technical University of Berlin.

Homework and exams

Homework and written exam coordinator Institution Semester
Functional Analysis Augsburg University 2018
Ordinary Differential Equations Augsburg University 2017/18
Measure and Integration Theory Bielefeld University 2014/15
Analysis II Bielefeld University 2014
Analysis I Bielefeld University 2013/14
Analysis III for engineers Technical University of Berlin 2012
Analysis I for engineers Technical University of Berlin 2011/12
Exercise classes / teaching assistance Institution Semester
Measure and Integral / Mitta ja integraali University of Helsinki 2020
Ordinary Differential Equations Augsburg University 2017/18
Measure and Integration Theory Bielefeld University 2014/15
Analysis II Bielefeld University 2014
Analysis I Bielefeld University 2013/14
Analysis III for engineers Technical University of Berlin 2012
Analysis I for engineers Technical University of Berlin 2011/12
MA 303 (Differential Equations and PDEs) Purdue University 2006
Probability Theory I Bielefeld University 2005/06
Measure Theory and Elements of Functional Analysis Bielefeld University 2005
Mathematics for Computer Scientists Bielefeld University 2004/05
Stochastics A Bielefeld University 2003/04
Analysis I Bielefeld University 2003
Linear Algebra I Bielefeld University 2002/03

First examiner in oral exams

Graduate level

  • Functional Analysis
  • Stochastic Analysis

Undergraduate level

  • Analysis III

Second examiner in oral exams

Graduate level

  • Actuarial Mathematics
  • Mathematics for Finance I
  • Probability Theory I-III

Undergraduate level

  • Analysis I–II
  • Analysis C
  • Analysis I-III for engineers
  • Integral Transforms and Differential Equations for engineers
  • Measure and Integration Theory
  • Statistics