Lecture Notes


Algebraic Geometry I (currently continued by notes for Algebraic Geometry II, which is still in progress)

Course taught at Tsinghua University, Fall term 2013, 89 p.

Appendix to the notes for Algebraic Geometry II (in progress)

Collects basic results from category theory and sheaf theory.

Moduli spaces of Riemann surface at Tsinghua

Course taught at Tsinghua University, Fall term 2011, 80 p.

Smooth manifolds

(2010 edition, 70 p.)

Riemannian Geometry-an introduction

(2008 edition, 42 p.)

Meetkunde op varieteiten

(in Dutch, 2004 edition 107 p.) I: De taal der varieteiten, II: Differentiaalmeetkunde, III: Excursies.  De eerste twee hoofdstukken corresponderen min of meer met de twee  bovenvermelde engelstalige diktaten.

Riemann Surfaces

(2007 edition, 63 p., essentially a translation of the item below)


(in Dutch, 2003 edition, 50 p.)

Complex manifolds

(43 p., notes by M. Grooten based on a course of mine)

Algebraic Topology

(2010, 49 p., mostly a translation of the item below)

Algebraische  Topologie 

(In Dutch, 2001 edition, 57 p.)

Trento notes on Hodge theory,

Trento Summer school September 2009, 34 p.

The following two sets of notes are based on Master Class courses. This should be kept in mind, for deprived from that context, they might look unbalanced and incomplete.

     Introduction to conformal blocks

      (Master Class 2008, 38 p.)

     Frobenius Manifolds

     (Master Class 2009, 31 p.)

Rational surfaces and singularities (in progress)

Lectures at the Chinese University at Hong Komg and Tsinghua University, March 2013

Locally symmetric varieties and moduli

Three lectures at RIMS (Kyoto), June 2013