Teaching
- Lecture: Topologie II [104141]
- [ – | Mon, – | | M B 6 (M 6)]
- [ – | Thu, – | | M B 6 (M 6)]
- Seminar: Seminar: Topological Data Analysis [104146]
(in cooperation with Prof. Dr. Jan Vahrenhold and Maria Herick)- [ – | Tue, – | ]
- Advanced seminar: Oberseminar Topologie [104140]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus and Prof. Dr. Johannes Ebert)- [ – | Mon, – | ]
- Practice: Übung zur Vorlesung Topologie II [104142]
- [Thu, – | ]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [104660]
(in cooperation with Prof. Dr. Martin Stein, Vera Körkel, Prof. Dr. Gilbert Greefrath and Dr. Christian Serpé)- [ – | Tue, – | | M B 5 (M 5)]
- Lecture: Topologie I [102141]
- [ – | Tue, – | | M B 3 (M 3)]
- [ – | Fri, – | | M B 3 (M 3)]
- Short intensive seminar: Zaferna Blockseminar [102143]
(in cooperation with Dr. Christian Serpé)- [ – | Single Course]
- [ – ]
- Advanced seminar: Oberseminar Topologie [102140]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus and Prof. Dr. Johannes Ebert)- [ – | Mon, – | | M B 4 (M 4)]
- Practice: Übungen zur Vorlesung "Topologie I" [102142]
- [Thu, – | | M A 114 (SR 1D)]
- [Wed, – | ]
- [Thu, – | | M A 114 (SR 1D)]
- [Thu, – | | M A 114 (SR 1D)]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [102613]
(in cooperation with Prof. Dr. Martin Stein, Vera Körkel, Prof. Dr. Gilbert Greefrath and Dr. Christian Serpé)- [ – | Tue, – | | M B 5 (M 5)]
- Lecture: Cohomology Operations and Spectral Sequences [100140]
- Seminar: Seminar on Complex Cobordism Theory [100146]
- Advanced seminar: Oberseminar Topologie [100142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss) - Practice: Übung zur Vorlesung Cohomology Operations and Spectral Sequences [100141]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [100601]
(in cooperation with Prof. Dr. Martin Stein, Vera Körkel, Prof. Dr. Gilbert Greefrath and Dr. Christian Serpé) - Lecture: Topologie III [108143]
- Short intensive seminar: Zaferna Blockseminar: Nichstandard Analysis [108147]
(in cooperation with Dr. Christian Serpé) - Advanced seminar: Oberseminar Topologie [108142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss) - Practice: Übung zur Vorlesung Topologie III [108144]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [108653]
(in cooperation with Prof. Dr. Martin Stein, Vera Körkel, Dr. Christian Serpé and Prof. Dr. Gilbert Greefrath) - Lecture: Topologie II (Homologie) [106146]
- Seminar: Seminar on K-Theory [106242]
- Advanced seminar: Oberseminar Topologie [106142]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss) - Practice: Übung zur Vorlesung Topologie II (Homologie) [106147]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [106607]
(in cooperation with Prof. Dr. Martin Stein, Vera Körkel, Prof. Dr. Gilbert Greefrath and Dr. Christian Serpé) - Lecture: Topologie I [104618]
- Short intensive seminar: Ski-Seminar: Seminar zur Alexandrov-Geometrie [104622]
(in cooperation with apl. Prof.Wend Werner) - Advanced seminar: Oberseminar Topologie [104620]
(in cooperation with Prof. Dr. Arthur Bartels, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss) - Practice: Übungen zur Vorlesung "Topologie I" [104619]
- Colloquium: Kolloquium über Geschichte und Didaktik der Mathematik [104182]
(in cooperation with Prof. Dr. Matthias Löwe, Prof. Dr. Martin Hils, Prof. Dr. Martin Stein and Prof. Dr. Gilbert Greefrath)
- Lecture: Topologie II [104141]
Articles
- 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. 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. 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.