Research group Algebra

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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

Pub­lic­a­tions



Non-crossing partitions for exceptional hereditary curves

B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).


Algebraic Geometry of the Multilayer Model of the Fractional Quantum Hall Effect on a Torus

I. Burban, S. Klevtsov, Communications in Mathematical Physics 406 (2025).


Some aspects of the theory of nodal orders

I. Burban, Y. Drozd, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.


Exceptional hereditary curves and real curve orbifolds

I. Burban, Algebra and Discrete Mathematics 38 (2025) 166–203.


Norms of wave functions for FQHE models on a torus

I. Burban, S. Klevtsov, in: Contemporary Mathematics, American Mathematical Society, Providence, Rhode Island, 2025.


Classification of real nodal orders

I. Burban, Y. Drozd, ArXiv:2410.05792 (2024).


Du Val Singularities

I. Burban, in: Springer Proceedings in Mathematics & Statistics, Springer International Publishing, Cham, 2023.


Du Val Singularities

I. Burban, in: Springer Proceedings in Mathematics & Statistics, Springer International Publishing, Cham, 2023.


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Activ­it­ies

Team

Prof. Dr. Igor Burban

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Birgit Duddeck-Buijs

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PD Dr. Hans Franzen

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Dr. Wassilij Gnedin

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Dr Kyungmin Rho

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PhD Stepan Maximov

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Dr. Charlene Weiß

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Lukas-André Klawuhn

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