Research group Algebra
Welcome to the homepage of the research group "Algebra"
Research
Aktuelle Forschungsprojekte:
- Homologische Algebra, abgeleitete und triangulierte Kategorien
- Vektorbündel und kohärente Garben auf singulären Kurven
- Ringel-Hall-Algebren und quanten affinen Algebren
- Darstellungstheorie der assoziativen Algebren
- Fourier-Mukai-Transformationen
- Cohen-Macaulay-Moduln
- Yang-Baxter-Gleichungen
Teaching
Lehre im SS 2024:
- Homologische Algebra und Garbentheorie
- Oberseminar "Algebra und Algebraische Geometrie"
- Seminar "Poisson Geometry and Integrable Systems
Lehre im WS 2023/24:
- Einführung in die Darstellungstheorie
- Lineare Algebra I
- Oberseminar "Algebra und Algebraische Geometrie"
- Seminar "Poisson Geometry and Integrable Systems"
Information about teaching in previous semesters can be found on this website.
Publications
Recent Preprints
I. Burban, Yu. Drozd, (2017).
I. Burban, C. Alfes-Neumann, M. Raum, (2022).
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Published articles
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
I. Burban, L. Galinat, Journal of Physics A: Mathematical and Theoretical 50 (2017).
I. Burban, Yu. Drozd, V. Gavran, European Journal of Mathematics 3 (2017) 311–341.
I. Burban, Yu. Drozd, V. Gavran, International Mathematics Research Notices 2017 (2017) 895–920.
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