Leader of the research group

Prof. Dr. Igor Burban

Contact
Biography
Publications
Prof. Dr. Igor Burban

Algebra

Professor

Phone:
+49 5251 60-2619
Fax (External):
+49 5251 60-4204
Office:
D2.213
Web:
Visitor:
Warburger Str. 100
33098 Paderborn
Prof. Dr. Igor Burban
Education and Academic Career
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

Awards und Fellowships
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

Miscellaneous
Since 2023

Deputy spokesperson of TRR 358 "Integral Structures in Geometry and Representation Theory"

Since 2009

Supervision of Researchers in Early Career Phases

Doctorates
Completed doctorates: 9, ongoing doctorates: 2

Selected examples:

Dr. Raschid Abedin, Bachelor, Master and PhD student (2016 – 2022): now Postdoc at ETH Zürich, Switzerland

Dr. Sebastian Opper, PhD student (2015 – 2019): now Postdoc at Charles University Prague, Czech Republic

Dr. Wassily Gnedin, Master and PhD student (2009 – 2015): now Postdoc at Paderborn University, Germany

Dr. Martin Kalck, PhD student (2009 – 2013): now Postdoc at the University of Freiburg with an offer for a junior professorship with tenure at the University of Graz, Austria

Dr. Andreas Hochenegger, Postdoc (2012 – 2016): now Lecturer at Politechnico di Milano, Italy

10/2021 - 09/2023

Vice Dean of the Faculty of Computer Science, Electrical Engineering and Mathematics, Paderborn University

2002

Funding Reviewer: DFG, Humboldt Foundation

Scientific Engagement
Organisation of Scientific Events
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

Editorial Boards and Editorship
Since 2021

Editor of "Jahresbericht der Deutschen Mathematiker-Vereinigung"

Since 2023

Deputy spokesperson of TRR 358 "Integral Structures in Geometry and Representation Theory"

Since 2021

Editor of "Jahresbericht der Deutschen Mathematiker-Vereinigung"

Editorial Boards and Editorship
Since 2018

Professor (W3)

Paderborn University, Germany

Education and Academic Career
Since 2009

Supervision of Researchers in Early Career Phases

Doctorates
Completed doctorates: 9, ongoing doctorates: 2

Selected examples:

Dr. Raschid Abedin, Bachelor, Master and PhD student (2016 – 2022): now Postdoc at ETH Zürich, Switzerland

Dr. Sebastian Opper, PhD student (2015 – 2019): now Postdoc at Charles University Prague, Czech Republic

Dr. Wassily Gnedin, Master and PhD student (2009 – 2015): now Postdoc at Paderborn University, Germany

Dr. Martin Kalck, PhD student (2009 – 2013): now Postdoc at the University of Freiburg with an offer for a junior professorship with tenure at the University of Graz, Austria

Dr. Andreas Hochenegger, Postdoc (2012 – 2016): now Lecturer at Politechnico di Milano, Italy

10/2021 - 09/2023

Vice Dean of the Faculty of Computer Science, Electrical Engineering and Mathematics, Paderborn University

2023

Member of the Scientific Committee of ICRA 21 Conference

Organisation of Scientific Events
2022

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

Organisation of Scientific Events
2019

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

Organisation of Scientific Events
2018

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

Organisation of Scientific Events
2012 - 2018

Professor (W2)

University of Cologne, Germany

Education and Academic Career
2015

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

Organisation of Scientific Events
2014

Albertus Magnus best teaching award, University of Cologne, Germany

Awards und Fellowships
2013

Albertus Magnus best teaching award, University of Cologne, Germany

Awards und Fellowships
2007 - 2012

Junior Research Group Leader

Emmy Noether Research Group, University of Bonn, Germany

Education and Academic Career
2011

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

Organisation of Scientific Events
2010

Habilitation

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

Education and Academic Career
2008

ICRA Award (International Conference on Representations of Algebras)

Awards und Fellowships
2007

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

Awards und Fellowships
2005 - 2007

Postdoc

University of Mainz, Germany

Education and Academic Career
2004 - 2005

Postdoc

Max-Planck Institute for Mathematics, Bonn, Germany

Education and Academic Career
2003 - 2004

Postdoc

University Paris 6, Paris, France

Education and Academic Career
24.05.2003

Doctorate

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

Education and Academic Career
2003

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

Organisation of Scientific Events
2002

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

Organisation of Scientific Events
2002

Funding Reviewer: DFG, Humboldt Foundation

1998 - 2000

Degree programme

M.Sc. Mathematics, University of Kaiserslautern, Germany

Education and Academic Career
1994 - 1998

Degree programme

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

Education and Academic Career

Publications

Latest Publications

Morita theory for non-commutative noetherian schemes
I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).
On elliptic solutions of the associative Yang-Baxter equation
I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).
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.
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.
Show all publications

Members of the group

PD Dr. Hans Franzen

Office: D1.225
Phone: +49 5251 60-2609
E-mail: hans.franzen@math.upb.de
Web: Homepage

Dr. Wassilij Gnedin

Postdoc in Project C3 of SFB/TRR 358

Office: D2.329
Phone: +49 5251 60-2001
E-mail: wassilij.gnedin@uni-paderborn.de
E-mail: gnedin@math.uni-paderborn.de

Daniel Perniok

Office: D2.323
Phone: +49 5251 60-2636
E-mail: daniel.perniok@math.upb.de

PhD Stepan Maximov

Office: D2.329
Phone: +49 5251 60-2002
E-mail: stepan.maximov@math.uni-paderborn.de