Department Mathematik
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Prof. Dr. Sebastian Hensel

Mathematics Institute, University of Munich
Theresienstr. 39
D-80333 Munich
Germany

Email: hensel@math.lmu.de

Tel:   +49 (0)89   2180 4448
Office: room 318, 3rd floor

Geometry and Topology Group
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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 co-organised by me and might be of interest:
  • Fuchsian Groups and Hyperbolic Surfaces
    This is a (Bachelor-level) 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 17-21, 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 24-28, 2025. Details will follow shortly.

Summer Semester 2024

  • (Nichteuklidische) Geometrie
    This is a (Bachelor-level) 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, 14-16, B132. See here for the announcement. Please register on uni2work to see up-to-date 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, 10:15-11:45 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 - Degree-genus formula
    There are more possible talk subjects; if you are interested in joining and giving a talk, please send me an email!
  • Topology and geometry of 3-manifolds This course discusses the topology and geometry of manifolds in dimension 3. While 2-dimensional manifolds can be (topologically) completely and easily be classified, and 4-manifolds 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 15-19 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

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, 9-12, 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:

  • Mapping class groups and low-dimensional 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 2-4, 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, 10-11 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 make-up-exam will be published shortly.