Research & Writing

This page collects my academic and non-academic written work:

• Publications — peer-reviewed work
• Theses — bachelor and master theses
• Essays — miscellaneous topics and reflections

Publications Link to heading

• Application of Machine Learning and Convex Limiting to Subgrid Flux Modeling in the Shallow-Water Equations, Ilya Timofeyev, Alexey Schwarzmann, Dmitri Kuzmin , Mathematics and Computers in Simulation 238 (2025). Publication

Theses Link to heading

• Master Thesis: Discrete Model Reduction for the Shallow Water Equations Using Neural Networks and Flux Limiting, TU Dortmund (2023). PDF
• Bachelor Thesis: Optimal Boundedness Results for Degenerate Elliptic Equations, TU Dortmund (2020). PDF

Essays Link to heading

• Gedanken zum Zettelkasten (2025). Warum der Zettelkasten ein Denkpartner ist und was daraus folgt. Read online