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) | 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