Prof. Dr. Sebastian HenselMathematics Institute, University of Munich Email: hensel@math.lmu.de Tel: +49 (0)89 2180 4448 

About Me  Research  Teaching  Other 
Theses
 Bachelor Theses
I am happy to supervise Bacheror theses. If you are interested, please contact me by email or after one of my classes.
I have summarised some guidelines for Bachlor theses here (in German).  Master Theses
I am currently accepting Masters students for topics in geometry and topology. Usually, if you are interested in writing a thesis with me, you should have taken at least one seminar or course with me. Please email me if you are interested.
Winter Semester 2024/25
During the winter semester I will be in sabbatical. However, the following seminars are coorganised by me and might be of interest: Fuchsian Groups and Hyperbolic Surfaces
This is a (Bachelorlevel) seminar on hyperbolic geometry, continuing from my geometry class held in the summer semester 2024. If you did not go to the class, but would like to participate anyway, get in touch to see if you have the required prerequisites. The preparation will be done by me, the seminar will be run by Jonathan Bowden.
All information can be found on the moodle page here.  Geometry and dynamics of homeomorphisms in dimensions 1 and 2
This is a block seminar on topics on the intersection between topology, geometry and dynamics in dimension 2. It is aimed at Master's students with background in at least one of topology, differential geometry, geometric group theory (and PhD students).
It will be run by Jonathan Bowden and me in the week February 1721, 2025. An announcement with talk details is here. If you want to participate, please contact me by email.  Representation Theory
This is a block seminar on representation theory and some of its applications in topology for Master's students.
It will be run by Ulrich Bauer (at TUM) and me in the week February 2428, 2025. Details will follow shortly.
Summer Semester 2024
 (Nichteuklidische) Geometrie
This is a (Bachelorlevel) introduction to noneuclidean geometry; a moodle page is here.  Seminar Geometric Group Theory
This seminar is a continuation of the lecture "Geometric Group Theory" of the previous semester; details can be found here. A moodle page is here and the registration key is "Gromov"; please also contact me by email if you are interested in participating.
Winter Semester 2023/24
 Geometric Group Theory
I will teach a course on geometric group theory in the coming semester. All details can be found on the moodle page here. The registration key is Gromov (who is one of the pioneers of geometric group theory).
Summer semester 2023
 Riemannian geometry
Please register on the moodle page here. All course information will be published there.
Winter semester 2022/23
 Differentiable Manifolds
Please register here.  Global Riemannian Geometry (Riemannian Geometry II)
Wednesday, 1416, B132. See here for the announcement. Please register on uni2work to see uptodate announcements and access course material.
Summer semester 2022
 Geometrie
Please see the uni2work page for information about this course.  Hyperbolic Manifolds
Please see the uni2work page for information about this course.  Seminar Heegaard splittings (offered joint with Ulrich Bauer at TUM)
Please see this page for more information.
Winter Semester 2021/22
 Flächen  topologisch, algebraisch, geometrisch
This is a seminar aimed at Bachelor's students who want to learn about geometry and topology of surfaces. This is both a good place to start in order to learn crucial examples that may be useful in later classes, and a very interesting mathematical area in its own right (most of my research deals with surfaces).
An announcement can be found here.
Currently, the seminar takes place Wednesdays, 10:1511:45 in room B041. Please also observe the remark about the corona situation at the top of the page. There is also a uni2work page for the seminar here. A (preliminary) list of talks is as follows: 3.11  Affine and Projective Curves (part 1)
 10.11  Affine and Projective Curves (part 2), Simplicial Complexes (part 1)
 17.11  No Seminar!
 24.11  Simplicial Complexes (part 2)
 1.12  Classification of Surfaces
 8.12  Bezout I
 15.12  Bezout II
 12.1  Degreegenus formula
 Topology and geometry of 3manifolds This course discusses the topology and geometry of manifolds in
dimension 3. While 2dimensional manifolds can be (topologically) completely
and easily be classified, and 4manifolds are (provably) unclassifyable, in
dimension 3 there is an abundance of both subtle and interesting behaviour
as well as powerful tools.
Details can be found here.
Videos for the classes November 1519 can be watched here
Starting November 30, the lecture will be offered in a hybrid format. Please email me if you would like to obtain the zoom link.
Nachklausur Topology I
Results of the Topology I Nachklausur are here.Summer Semester 2020
 Geometry Oberseminar
Due to the current situation there will be no Oberseminar this semester.  Topology II
All information about this course can be found on its uni2work page here  Seminar Geometric Group Theory
This is a seminar aimed at any students who know basic topology and are interested in learning the basics of geometric group theory, one of my areas of research. Please sign up on the uni2work page here if you are interested in the seminar (it is fine to register if you are not yet sure if you want to participate). Any information on the seminar will be posted on that webpage.  Seminar Curve Graphs and Hierarchies
This is an advanced seminar aimed at students who know some basics about mapping class groups of surfaces, and are interested in learning tools from active research in these groups. Please sign up on the uni2work page here if you are interested in the seminar (it is fine to register if you are not yet sure if you want to participate). Any information on the seminar will be posted on that webpage.
Winter semester 2019/20
 Topology I
A script, containing the material covered up to now, as well as some of the upcoming material, can be found here. This script may still contain typos  please contact me if something seems wrong.
For information on the Nachklausur, see top of the page.
There are two problem sessions, the first Wednesdays 810 in B041, and the second Fridays 1012 in C112.
Problem sets are due on Tuesday, end of class
 Set 1 (due October 22)
 Set 2 (due October 29)
 Set 3 (due November 5)
 Set 4 (due November 12)
 Set 5 (due November 19)
 Set 6 (due November 26)
 Set 7 (due December 4)
 Set 8 (due December 11)
 Set 9 (due December 18)
 Set 10 (due January 7)
 Set 11 (due January 14)
 Set 12 (due January 21)
 Set 13 (due January 28)
Summer semester 2019
 Geometry Oberseminar
Information on the Geometry Oberseminar can be found here.  Riemannian Geometry
This is a continuation of the differentiable manifolds course from last semester.
The Nachklausur will be on October 4, 912, in room B138.
For preparation, here is the original exam, with solution sketches.
A script, containing the material covered up to now, can be found here. An outlook containing material that will be covered in upcoming lecture is here. This latter document is likely full of mistakes and incomplete.
Problem sets:
 Set 1
 Set 2 (Prepare Problem 2 for May 7th)
 Set 3. A solution to Problem 3.1
 Set 4
 Set 5 (Think about Problem 2 in advance at home)
 Set 6
 Set 7
 Set 8A solution to Problem 8.1
 Mapping class groups and lowdimensional topology
This is an introduction to mapping class groups and related topics. I will assume familiarity with manifolds, but not much more.
A preliminary script, containing new material and (slowly) also older material, can be found here
Tuesday, June 15, from 24, in room B252 there will be an extra class (since the course had to be cancelled once).
Winter semester 2018/19
 Differentiable Manifolds
The Einsicht (a chance to look at your exam) will happen Thursday, May 2, 1011 am in room B336 (the TMP meeting room).
The lecture script can be found here.
The notes for Robert Hellings lectures are here: Physics and exterior derivatives, More on connections, and physics outlook.
This is a brief summary of important homework problems (and a solution of problem 10.2c).
A solution to Problems 2 and 3 of the exam. Solutions for the makeupexam will be published shortly.