Timetable

Courses

Summer semester 2019

• Algebraic Topology II
• Algebraic Curves
• Condensed Mathematics

• Hopf Algebras
• Steenrod Operations and Homotopy Groups of Spheres
• Combinatorial Torsions
• Triangulated Categories in the Representation Theory of finite-dimensional Algebras
• MPIM Topology Seminar
• Topology Seminar
• Master's Thesis Seminar Schwede

• Topology II

Winter semester 2018/19

• The little n-cubes operads
• Geometric Group Theory
• Algebraic Topology I
• (Simplicial volume)

• Topology I

Summer semester 2018

• Invariants of knots and 3-manifolds
• Vassiliev invariants and related topics
• (Algebraic Geometry II)

• Morse theory
• Applied Geometry and Topology

• Einführung in die Geometrie und Topologie

Winter semester 2017/18

• Algebraic Geometry I
• Algebra II
• Global Analysis I

• Adams Spectral Sequence

• (Knot theory)

• Topology I

Summer semester 2017

• Algebraic Topology II
• (Geometry I)

• Lie groups

• An introduction to topological K-Theory and Snaith’s Theorem

• Einführung in die Geometrie und Topologie

Winter semester 2016/17

• Algebraic Topology I
• Analysis III
• (Algebra II)
• (Algebraic Geometry I)

• Braid groups
• Characteristic Classes

• Analysis I

Summer semester 2016

• Topology II
• Einführung in die Komplexe Analysis
• (Kombinatorik, Graphen, Matroide)
• (Geometry I)

• Differentialtopologie

• Algorithmen und Berechnungskomplexität II

Winter semester 2015/16

• Topology I
• Einführung in die Diskrete Mathematik
• (Grundzüge der Darstellungstheorie)
• (Analysis III)
• (Algebraic Numbertheory)

• Fortgeschrittene Funktionale Programmierung (eCampus, Autotool)
• Einführung in die Informations- und Lerntheorie

Summer semester 2015

• Lineare Algebra II
• Analysis II
• Algorithmische Mathematik II (erste Hälfte: Algorithmische Mathematik II - Stochastik für Lehramt)
• Algebra I
• Einführung in die Geometrie und Topologie

• Deskriptive Programmierung (eCampus, Autotool)

Winter semester 2014/15

• Analysis I
• Lineare Algebra I
• Algorithmische Mathematik I
• Einführung in die Algebra
• (Topology I)

Papers

• Newton's method in practice: finding all roots of polynomials of degree one million efficiently (published in: Theoretical Computer Science, Volume 681, 2017)
• Newton's method in practice II: The iterated refinement Newton method and near-optimal complexity for finding all roots of some polynomials of very large degrees