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Professor Dr. Igor Burban

Address Universität Paderborn
Institut für Mathematik
Fachgebiet Computeralgebra und Zahlentheorie
Warburger Straße 100
33098 Paderborn

Projects

As Applicant
- Completed projects
  - Triangulierte Kategorien und assoziative Algebren in der Geometrie von singulären Varietäten (Research Grants)
  - Zahme abgeleitete Kategorien und ihre Anwendungen in der Algebraischen Geometrie, Darstellungstheorie, Singularitätentheorie und der mathematischen Physik (Independent Junior Research Groups)
  - Classical Yang-Baxter equation and sheaves on degenerations of elliptic curves (Priority Programmes)
  - Derived-tame algebras and non-commutative nodal projective curves (Research Grants)
  - Trigonemetric solutions of the classical Yang-Baxter equations and bialgebra structures on loop Lie algebras (Research Grants)
As Project Head
- Current projects
  - Symplectic methods in infinite-dimensional systems (CRC/Transregios)
  - Affine Kac–Moody groups: analysis, algebra, and arithmetic (CRC/Transregios)
  - Hereditary categories, reflection groups, and non-commutative curves (CRC/Transregios)
  - Tame patterns in the representation theory of reductive Lie groups and arithmetic geometry (CRC/Transregios)
- Completed projects
  - Derived categories of singular curves (CRC/Transregios)

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