Onderwijs

Voor wiskundigen

Set Theory

This is a course on Axiomatic Set Theory as part of the Dutch Mastermath program.

Recorded lectures

Autumn 2019: Permutation models and the consistency of not-AC

Five lectures on permutation models and a proof of the consistency of the negation of the Axiom of Choice.

Autumn 2020: Large Cardinals

Eight lectures on: cardinal arithmetic, combinatorics, stationary sets, (ultra)filters and large cardinals.

Autumn 2021: Forcing

Eight lectures on: cardinal arithmetic, combinatorics, forcing.

Autumn 2022: Set Theory and The Constructible Universe

An introduction to Axiomatic Set Theory, cardinal arithmetic, combinatorics, Gödel's constructible universe L.

Autumn 2023: Set Theory and Cardinal Arithmetic

An introduction to Axiomatic Set Theory, cardinal arithmetic, combinatorics, and some pcf-theory, with a proof of \(2^{\aleph_\omega}<\aleph_{\omega_4}\) if \(\aleph_\omega\) is a strong limit.

Geschiedenis van de Wiskunde (AM2520-H)

Topologie (AM3590)

HOVO Leiden

The Logarithm

Oude cursussen

• Boolean algebras A course on the topological representation of Boolean algebras (Vrije Universiteit, 2000).
• Set theoretic methods in General Topology (Vrije Universiteit, 2001).
• Topologie: tweedejaars college Topologie in Leiden (voorjaar 2007).
• Set Theory as part of the Dutch Mastermath program in the academic year 2010-2011.
• Set Theory as part of the Dutch Mastermath program in the academic year 2012-2013.
• Verzamelingenleer in Leiden
• Complexe-functietheorie voor wiskundigen. Hier zijn de colleges van voorjaar 2016.
• Complex Analysis for Physics. Hier zijn de opnamen van najaar 2014.

Delta