Julian Külshammer

Research group: Algebra / Algebraic Lie Theory and Representation Theory

         

Contact:

Tel.: (+49) (0) 431 880 2551
Office: Room 323 How to get there?
Email:

Postal address:

Mathematisches Seminar
Christian-Albrechts-Universität Kiel
Ludewig-Meyn-Str. 4
D - 24 098 Kiel

Secretariat:

Frau G. Christiansen
Tel.: (+49) (0) 431 880 2781
Email:


Research Interests

  • Representation theory of associative algebras and quivers
  • Biserial algebras
  • Auslander-Reiten theory
  • Cluster algebras
  • (Finite-dimensional) quantum groups at roots of 1

  • Teaching

    Foundations of Geometry - Summer term 2012 - Exercise class

    Consultation hour: tba

    Mathematics for Geoscientists - Winter term 2011/12 - Exercise class

    Consultation hour: Monday 2-4 p.m.

    Algebra II - Summer term 2011 - Exercise class

    Consultation hour: Wednesday 2-4 p.m.

    Algebra I - Winter term 2010/11 - Exercise class

    Consultation hour: Wednesday 4-6 p.m.

    Algebra II - Summer term 2010 - Exercise class

    Consultation hour: Tuesday 10-11 a.m.

    Curriculum vitae

    Here you can find my CV.

    Publications

    Biserial algebras via subalgebras and the path algebra of D4. Journal of Algebra 331, pp. 58-67, 2011.
    Representation type of Frobenius-Lusztig kernels. preprint, 2011, to appear in: The Quarterly Journal of Mathematics..
    Auslander-Reiten theory of Frobenius-Lusztig kernels. preprint, 2012.
    Auslander-Reiten theory of small half quantum groups. preprint, 2012, accepted by: Proceedings of the American Mathematical Society.

    Diploma thesis

    Here you can find my diploma thesis "Biserielle Algebren"; (German) from September 2009. My advisor in Bonn was Prof. Dr. Jan Schröer.

    PhD thesis

    I am now writing my PhD thesis at the Christian-Albrechts-Universität zu Kiel. The working title is "Auslander-Reiten theory of small quantum groups". My advisor is Prof. Dr. Rolf Farnsteiner.

    Talks

    Outside Kiel

    27.08.2009 An alternative characterization of biserial algebras, University of Paderborn
    15.08.2010 Auslander-Reiten theory for small quantum groups, ICRA XIV, Tokyo, Japan
    18.02.2011 Biserial algebras via D4-subalgebras, University of Bielefeld
    04.03.2011 Invariant support varieties and AR-theory of quantum groups, Schwerpunkttagung 2011, Münster, Germany
    18.06.2011 Skew group algebras and the Auslander-Reiten theory of half-quantum groups, Doktorandentagung Darstellungstheorie, Bonn, Germany
    26.08.2011 Irreducible G(r)-modules in prime characteristic, Summer School on Polynomial Representations of the General Linear Group, Bad Driburg, Germany
    07.11.2011 The quiver of the Frobenius-Lusztig kernel for SL2, University of Bochum
    12.11.2011 Representation type of Frobenius-Lusztig kernels, Representation Theory Days 2011, Hannover
    13.12.2011 Auslander-Reiten theory of Frobenius-Lusztig kernels, University of Stuttgart

    At Kiel

    08.01.2010: Quiver representations, Auslander-Reiten theory, and the knitting algorithm.
    15.01.2010: Biserial algebras and the finitistic dimension conjecture.
    01.06.2010: Small quantum groups are totally wild.
    09.11.2010: Periodic quantum components are homogeneous tubes.
    31.05.2011: Skew group algebras and the Auslander-Reiten theory of half-quantum groups

    Conferences, Workshops and Summer schools

    31.07.-16.08.2003 Multinationale Akademie Metten 2003 (Deutsche SchülerAkademie)
    01.03.-06.03.2009 Workshop on Representations and Cohomology
    26.07.-01.08.2009 Summer School on Geometry of Representations
    25.09.2009            Workshop NWDR 14
    27.09.-03.10.2009 Conference Perspectives in representation theory
    06.04.-10.04.2010 Darstellungstheorie Schwerpunkttagung 2010
    02.07.2010            15th NWDR Workshop
    06.08.-15.08.2010 ICRA XIV
    30.08.-03.09.2010 Conference Quantum Groups
    10.01.-14.01.2011 Winterschool: Topics in Representation Theory
    01.03.-04.03.2011 Darstellungstheorie Schwerpunkttagung 2011
    16.06.-18.06.2011 Doktorandentagung Darstellungstheorie
    24.06.2011            Festkolloquium aus Anlass des 100. Geburtstages von Ernst Witt
    22.08.-26.08.2011 Summer School on Polynomial Representations of the General Linear Group
    11.11.-12.11.2011 Representation Theory Days 2011

    Links

  • arXiv preprints
  • mathoverflow profile


  • Julian Külshammer
    Last modified, 05.03.2012
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    Mathematisches Seminar
    Christian-Albrechts-Universität zu Kiel
    Ludewig-Meyn-Str. 4
    D - 24 098 Kiel