Fall 2014
Commutative algebra and algebraic geometry
Introduction to algebraic geometry (at the Budapest Semesters)
Summer 2014
Spring 2014

A3 (multivariable calculus and differential equations for engineering students)

Introduction to algebraic geometry (at the Budapest Semesters)
Fall 2013
Commutative algebra and algebraic geometry
Higher mathematics (for engineering students)
Homological algebra (reading course)
Introduction to topology (at the Budapest Semesters)
Sommersemester 2013
Group actions on algebraic varieties
The purpose of the course is to give an introduction to geometric invariant theory at an advanced undergraduate level. We will start by looking at group actions on sets and topological spaces, and then move on to the setting of affine and projective varieties.
 Lectures: Fri 810, Raum 404, Eckerstraße 1.
 Typical semester: 5th and above
 ECTS points: 3
 Office hour: Tue 910, Raum 425, Eckerstraße 1.
 Problem sheet #1 (in German)
 Problem sheet #2 (in German)
 Problem sheet #3 (in German)
 Problem sheet #4 (in German)
 Problem sheet #5 (in German)
Sommersemester 2012
The algebra and geometry of completely integrable systems (with Oliver Fabert)
 Lectures: Tue and Thu 1012, Raum 404, Eckerstraße 1.
 Typical semester: 5th and above
 ECTS points: 9
 Office hour: Tue 910, Raum 425, Eckerstraße 1.
 Problem sheet #1 (in German)
 Problem sheet #2
 Problem sheet #3
 Problem sheet #4
 Problem sheet #5
 Problem sheet #6
Sommersemester 2011
Introduction to toric varieties
The aim of this course is to acquaint the audience with the basics of toric geometry, which is an elegant mixture of algebra, combinatorics and geometry. We will mainly follow the excellent recent book "Toric varieties" by Cox, Little, and Schenck, which up to now has been made available online here. Contrary to all appearances, the lectures will be conducted in German.
 Lectures: Wednesday 1014 Raum 403, Eckerstraße 1.
 Typical semester: 5th and above
 ECTS points: 3
 Office hour: Wed 910, Raum 425, Eckerstraße 1.
 Problem sheet #1 (in German)
 Problem sheet #2
 Problem sheet #3
 Problem sheet #4
 Problem sheet #5
 Problem sheet #6
 Problem sheet #7