Prof. Dr. Igor Burban

Algebra

Phone:
+49 5251 60-2619
ORCID:
0000-0002-5422-0637
Web:
Homepage
Office Address:
Warburger Str. 100
33098 Paderborn
Room:
D2.213

About Igor Burban

Curriculum Vitae

Since 2018: Professor (W3)

Paderborn University, Germany

2012 - 2018: Professor (W2)

University of Cologne, Germany

2007 - 2012: Junior Research Group Leader

Emmy Noether Research Group, University of Bonn, Germany

2010: Habilitation

Coherent sheaves on degenerations of elliptic curves, Fourier-Mukai transforms and Yang-Baxter equations, University of Bonn, Germany

2005 - 2007: Postdoc

University of Mainz, Germany

2004 - 2005: Postdoc

Max-Planck Institute for Mathematics, Bonn, Germany

2003 - 2004: Postdoc

University Paris 6, Paris, France

24.05.2003: Doctorate

Dr. rer. nat., Mathematics, University of Kaiserslautern, Germany. Supervisors: Yuriy Drozd and Gert-Martin Greuel

1998 - 2000: Degree programme

M.Sc. Mathematics, University of Kaiserslautern, Germany

1994 - 1998: Degree programme

B.Sc. Mathematics, Taras Shevtchenko Kyiv State University, Ukraine

2014: Albertus Magnus best teaching award, University of Cologne, Germany

2013: Albertus Magnus best teaching award, University of Cologne, Germany

2008: ICRA Award (International Conference on Representations of Algebras)

2007: Emmy Noether Grant, German Research Foundation (DFG), Germany

Research

Selected Projects

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Publications

Selected Publications

Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
DOI
Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.
DOI
Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems
I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.
DOI
Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation
I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.
DOI
Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.
DOI
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Teaching


Current Courses

  • Seminar "Poisson geometry and integrable systems"
  • Oberseminar "Algebra und Algebraische Geometrie"
  • Einführung in die Darstellungstheorie (Übung)
  • Einführung in die Darstellungstheorie
  • AG Burban

Scientific Engagement

2023  |  Member of the Scientific Committee of ICRA 21 Conference


2022  |  Principal Organiser of the conference "Representation Theory and Triangulated Categories", Paderborn


2019  |  Co-organiser of the "2019 International Conference on Singularity Theory", Sanya, China


2018  |  Co-organiser of the international conference "Geometry and representation theory of algebraic groups", Bad Honnef, Germany


2015  |  Co-organiser of the summer school "Characters of representations and modular forms", Bonn, Germany


2011  |  Co-organiser of the summer school "Cohen-Macaulay modules over surface singularities and McKay correspondence", Oberwolfach, Germany


2003  |  Co-organiser of the international conference "Geometrie algebrique en liberte (GAEL-XI)", Luminy, France


2002  |  Co-organiser of the international conference "Geometrie algebrique en liberte (GAEL-X)", Luminy, France


Since 2021  |  Editor of "Jahresbericht der Deutschen Mathematiker-Vereinigung"