About
I study mathematics at ETH Zürich. My focus so far has been on algebra and dynamical systems, culminating in a bachelor’s thesis on the dynamics of compact group automorphisms.
More recently, I have been drawn toward questions where mathematical structure can inform how we model, learn from, and steer complex systems. This has led me to explore optimization, control, machine learning, scientific computing, and mathematically driven approaches to physical and biological systems.
I also enjoy writing mathematics. My longer notes, teaching material, and expository work live at notes.levinceglie.com.
Writings
- An Introduction to the Dynamics of Compact Group Automorphisms after Klaus Schmidt Bachelor Thesis. A dictionary between dynamical and algebraic properties.
- On the Irreducibility of Cyclotomic Polynomials Landau’s eight-line proof, spelled out.
- Modules over PIDs Structure theorems, Smith form, Jordan form.