Tamás Szamuely's Lecture Notes

Lecture Notes, Slides, Videos

Notes and slides for conference lectures

My notes for a lecture on János Kollár's geometric approach to Severi--Brauer varieties (Luminy, September 2016).

My notes for a lecture on anabeloids at the 2015 Oxford workshop on the Inter-Universal Teichmüller Theory of S. Mochizuki.

Variations on a theme by Ribet - slides from my lecture at the 2015 AMS Summer Institute on Algebraic Geometry

Galois Theory: Past and Present - slides from a colloquium lecture on the occasion of the 200th anniversary of Galois' birth, 2010-11

Dualité arithmétique pour les 1-motifs - slides from my lecture at the conference in honour of Luc Illusie (Orsay, 2005) (with English subtitles)

A writeup (dvi file) of a 2000 January expository lecture in Luminy (for a never-to-appear proceedings) on the construction of Voevodsky's triangulated category DM of mixed motivic complexes and the embedding of the category of effective `geometrical' motives into it.

Videos of conference lectures

The streaming video of my lecture at the Galois bicentenary conference (Institut Henri Poincaré, Paris) in October 2011: "Grothendieck et la théorie de Galois".

The streaming video of a lecture at the Isaac Newton Institute (Cambridge, UK) in July 2009 on "Grothendieck's Section Conjecture and zero-cycles on varieties".

The streaming video of a lecture at MSRI in August 1999 on "Introduction to Anabelian Geometry" (poorer quality than the previous one).

Course notes

Three Lectures on Class Field Theory
Notes by Davide Lombardo from a 2024 mini-course.
A reference list for the mini-course

A Course on the Weil Conjectures
Notes by Davide Lombardo from a 2019 course.
An exercise sheet

Lectures on Linear Algebraic Groups
Notes from a 2006 course, revised in 2012.

Cohomology of coherent sheaves
Notes for part of a 2011 course on schemes, with a last section on Serre's GAGA theorems added in 2016.

First Steps in Local Algebra
Notes for part of a 2010 graduate course.

Dedekind schemes
These are notes from part of an earlier course (1999/2000) on fundamental groups, treating the basic ramification theory of Dedekind schemes. This material was not incorporated in my book on the subject and has not been revised.

Schemes: the beginnings
This also comes from notes for an old course (1999/2000) on fundamental groups, not incorporated in my book on the subject.