Teaching
- Vorlesung: Cohomology Operations and Spectral Sequences [100140]
[ - | | wöchentlich | Di | M B 4 (M 4) | apl. Prof. Michael Joachim]
[ - | | wöchentlich | Mi | M B 6 (M 6) | apl. Prof. Michael Joachim] - Seminar: Seminar: Selected Topics in Topology [100146]
[ - | apl. Prof. Michael Joachim]
[ - | M A 114 (SR 1D) | apl. Prof. Michael Joachim]
[M A 114 (SR 1D) | apl. Prof. Michael Joachim] - Oberseminar: Research Seminar Topology [100142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
[ - | | wöchentlich | Mi | M B 6 (M 6) | Prof. Dr. Thomas Nikolaus]
[ | wöchentlich | Mo | M A 111 (SR 1C) | Prof. Dr. Thomas Nikolaus] - Kolloquium: Colloquium on History and Didactics of Mathematics [100601]
(in cooperation with Prof. Dr. Martin Stein, Wolfgang Hack, Vera Körkel, Prof. Dr. Gilbert Greefrath, Dr. Christian Serpé)
[ - | | wöchentlich | Di | M B 5 (M 5) | Prof. Dr. Martin Stein] - Tutorial Cohomology Operations and Spectral Sequences [100141]
[28.04.2025 | | wöchentlich | Mo | apl. Prof. Michael Joachim]
[10.07.2025 | | wöchentlich | Mo | apl. Prof. Michael Joachim] - Vorlesung: Topology III [108143]Details
- Blockseminar: Ski Seminar [108147]
(in cooperation with Dr. Christian Serpé)
[- | Blockveranstaltung + Sa und So | apl. Prof. Michael Joachim] - Oberseminar: Research Seminar Topology [108142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
[ - | | wöchentlich | Mo | M A 109 (SR 1B) | Prof. Dr. Johannes Ebert]
[ - | M B 3 (M 3) | Prof. Dr. Johannes Ebert]
[27.01.2025 | M B 6 (M 6) | Prof. Dr. Johannes Ebert] - Kolloquium: Colloquium on History and Didactics of Mathematics [108653]
(in cooperation with Prof. Dr. Martin Stein, Wolfgang Hack, Vera Körkel, Dr. Christian Serpé, Prof. Dr. Gilbert Greefrath)
[ - | | wöchentlich | Di | M B 5 (M 5) | Dr. Christian Serpé] - Tutorial Topology III [108144]
[09.10.2024 | | wöchentlich | Mi | SRZ 203 | apl. Prof. Michael Joachim]
[ - | | wöchentlich | Do | apl. Prof. Michael Joachim] - Vorlesung: Topology II (Homology) [106146]
- Seminar: Seminar on K-Theory [106242]
- Oberseminar: Research Seminar Topology [106142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss) - Kolloquium: Colloquium on History and Didactics of Mathematics [106607]
(in cooperation with Prof. Dr. Martin Stein, Wolfgang Hack, Vera Körkel, Prof. Dr. Gilbert Greefrath, Dr. Christian Serpé) - Tutorial Topology II (Homology) [106147]
- Vorlesung: Topology I [104618]
- Blockseminar: Seminar on Alexandrov Geometry [104622]
(in cooperation with apl. Prof. Wend Werner) - Oberseminar: Research Seminar Topology [104620]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss) - Kolloquium: Colloquium on History and Didactics of Mathematics [104182]
(in cooperation with Prof. Dr. Matthias Löwe, Prof. Dr. Martin Hils, Prof. Dr. Martin Stein, Wolfgang Hack, Prof. Dr. Gilbert Greefrath) - Tutorial Topology I [104619]
- Oberseminar: Research Seminar Topology [102144]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss) - Kolloquium: Colloquium on History and Didactics of Mathematics [103237]
(in cooperation with Prof. Dr. Matthias Löwe, Prof. Dr. Martin Stein, Prof. Dr. Martin Hils, Wolfgang Hack, Prof. Dr. Gilbert Greefrath) - Blockseminar: Graphs and Manifolds [100265]
(in cooperation with apl. Prof. Wend Werner) - Seminar: Seminar On Algorithmic Number Theory [100700]
- Oberseminar: Research Seminar Topology [100174]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss) - Kolloquium: Colloquium on History and Didactics of Mathematics [100683]
(in cooperation with Prof. Dr. Matthias Löwe, Prof. Dr. Martin Hils, Prof. Dr. Martin Stein, Wolfgang Hack, Prof. Dr. Gilbert Greefrath)
- Vorlesung: Cohomology Operations and Spectral Sequences [100140]
Publications
- Herick, M., Joachim, M. and Vahrenhold, J., . Adaptive Approximation of Persistent Homology: Journal of Applied and Computational Topology, 8(8), pp. 2327–2366. doi: 10.1007/s41468-024-00192-7.
- Joachim, M. and Stolz, S., . An enrichment of {$KK$}-theory over the category of symmetric spectra: Münster Journal of Mathematics, 2, pp. 143–182.
- Joachim, M. and Wraith, DJ., . Exotic spheres and curvature: Bulletin of the American Mathematical Society, 45(4), pp. 595–616. doi: 10.1090/S0273-0979-08-01213-5.
- Joachim, M. and Johnson, MW., . Realizing Kasparov's {$KK$}-theory groups as the homotopy classes of maps of a Quillen model category. in: Contemp. Math.An alpine anthology of homotopy theory. Providence, RI: American Mathematical Society. pp. 163–197.
- Joachim, M., . Higher coherences for equivariant {$K$}-theory. in: London Math. Soc. Lecture Note Ser.Structured ring spectra. Cambridge: Cambridge University Press. pp. 87–114. doi: 10.1017/CBO9780511529955.006.
- Joachim, M., . Toral classes and the Gromov-Lawson-Rosenberg conjecture for elementary abelian 2-groups: Archiv der Mathematik, 83(5), pp. 461–466. doi: 10.1007/s00013-004-1080-5.
- Joachim, M., . Unbounded Fredholm operators and {$K$}-theory. in: High-dimensional manifold topology. Singapore: World Scientific Publishing. pp. 177–199. doi: 10.1142/9789812704443_0009.
- Bunke, U., Joachim, M. and Stolz, S., . Classifying spaces and spectra representing the {$K$}-theory of a graded {$C^*$}-algebra. in: High-dimensional manifold topology. Singapore: World Scientific Publishing. pp. 80–102. doi: 10.1142/9789812704443_0003.
- Joachim, M., . {$K$}-homology of {$C^\ast$}-categories and symmetric spectra representing {$K$}-homology: Mathematische Annalen, 327(4), pp. 641–670. doi: 10.1007/s00208-003-0426-9.
- Joachim, M., . A symmetric ring spectrum representing {$K{\rm O}$}}-theory: Topology, 40(2), pp. 299–308. doi: 10.1016/S0040-9383(99)00063-4.
- Joachim, M. and Schick, T., . Positive and negative results concerning the Gromov-Lawson-Rosenberg conjecture. in: Contemp. Math.Geometry and topology: Aarhus (1998). Providence, RI: American Mathematical Society. pp. 213–226.