Andrew Hubery's CV

Education

School

• Sep 83 - July 88 Clipston Primary School, Market Harborough
• Sep 88 - July 91 Kettering Boys' School, Kettering
• Sep 91 - July 95 The Robert Smyth School, Market Harborough

University

• Oct 95 - June 98 Clare College, University of Cambridge Mathematics B.A. (Hons)
• Oct 98 - June 99 Clare College, University of Cambridge Certificate of Advanced Study in Mathematics (Part III) Distinction
• March 02 Clare College, University of Cambridge M.A.
• Oct 99 - Aug 02 University of Leeds Ph.D.

Prizes and Scholarships

• Oct 96 - June 97 Clare College, University of Cambridge Scholarship
• Oct 97 - June 98 Clare College, University of Cambridge Foundation Scholarship
• July 98 Clare College, University of Cambridge Horne Prize

Academic Positions

• Sep 02 - Oct 02 Gastwissenschaftler, Universität Bielefeld (TMR Grant)
• Nov 02 - Mar 03 Gastwissenschaftler, Universität Bielefeld (ESF Grant)
• Apr 03 - June 03 Gastwissenschaftler, Universität Bielefeld (ESF Grant)
• July 03 - Sep 03 Wissenschaftlicher Angestellter, Universität Bielefeld
• Oct 03 - Dec 07 Wissenschaftlicher Assistent, Universität Paderborn
• Oct 04 - Sep 05 Wissenschaftlicher Angestellter, Universität Bielefeld (DFG Stipendium) (Dienstliche Beurlaubung)

Research Visits

• May 00 - June 00 Universität Bielefeld (SFB 343 Grant)
• Feb 02 BUGH Wuppertal (ESF Grant)
• June 03 - July 03 University of Antwerp (ESF Grant)

Research Students

• Stefan Wolf Thesis: The Hall Algebra and the Composition Monoid, Completed May 2009
• Julia Wolf, Started September 2009

Research interests

• Representation theory of quivers
• Ringel-Hall algebras and quantum groups
• Varieties and schemes of modules
• Cluster algebras and tilting theory

Ph.D. Thesis

• Quiver Representations respecting a quiver automorphism and a theorem of Kac pdf

Publications

1. Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac, J. London Math. Soc. 69 (2004) 79-96 pdf
2. The composition algebra and composition monoid of the Kronecker quiver, J. London Math. Soc. 72 (2005) 137-150 pdf
3. Symmetric functions and the centre of the Ringel-Hall algebras of a cyclic quiver, Math. Z. 251 (2005) 705-719 pdf
4. Yang, Dong, On defining ideals or subrings of Hall algebras. With an appendix by Andrew Hubery, Algebr. Represent. Theory 10 (2007) 619--629 pdf
5. Hall polynomials for affine quivers, Represent. Theory 14 (2010) 355-378 pdf
6. The cluster complex of an hereditary algebra, accepted by Algebras and Representation Theory pdf

Proceedings Articles

1. Representations of a quiver with automorphism: generalising a theorem of Kac, Fields Institute Communications 45 (2005) 187-200
2. From triangulated categories to Lie algebras: A theorem of Peng and Xiao, Trends in Representation Theory of Algebras and Related Topics (Querétaro, 2004), editors J. De la Peña and R. Bautista, Contemp. Math. 406, Amer. Math. Soc. (2006) 51-66 math.RT/0502403
3. Ringel-Hall algebras of cyclic quivers, Lectures during the Workshop of ICRA XIII, São Paulo, Brazil arXiv:0904.0180

Preprints

• Acyclic cluster algebras via Ringel-Hall algebras pdf
• Three presentations of quantum affine gl_n pdf

Conference Presentations

• 2000 Sep Summer School on Geometry of quiver representations and preprojective algebras, Isle of Thorns, U.K.
• 2001 Aug Summer School on Homological conjectures for finite-dimensional algebras, Nordfjordeid, Norway
• 2002 May Workshop on Rings, University of Warwick, U.K.
• 2002 Aug Representations of a quiver with automorphism: generalising a theorem of Kac, Plenary Lecture, ICRA X, Fields Institute, Toronto, Canada
• 2003 June Oberwolfach Seminar on Geometry and combinatorics of representations of quivers
• 2003 July Representations of a quiver with automorphism, International Conference on Algebras, Modules and Rings, Lisbon, Portugal
• 2004 Aug The centre of the Hall algebra of a cyclic quiver, Plenary Lecture, ICRA XI, Patzcuaro, Mexico
• 2005 Feb Quantum affine gl_n via Ringel-Hall algebras, Oberwolfach Workshop on Representation theory of finite dimensional algebras
• 2005 May Ringel-Hall algebras of affine quivers, Homology, Geometry and Combinatorics of Representations, Sino-German Science Center, Beijing
• 2005 Sep The composition monoid of the Kronecker quiver, ESF Geometric Representation and Invariant Theory, Spa, Belgium
• 2006 Feb Symmetric functions, Ringel-Hall algebras and affine quantum groups, Géométrie et Analyse des Symétries, Metz, France
• 2006 May A Ringel-Hall algebra approach to cluster algebras, Workshop on Cluster Algebras and Cluster-Tilted Algebras, Bielefeld, Germany
• 2006 Nov Existence of Hall polynomials for affine quivers, Recent developments in the theory of Hall algebras, Luminy, France
• 2007 June Hall polynomials and some applications, Joint International Meeting UNI-DMV, Perugia, Italy
• 2007 Oct Derived Hall algebras, Tenth NWDR Workshop, Düsseldorf, Germany
• 2007 Nov Derived Hall algebras, Derived categories, CRM, Barcelona, Spain
• 2008 Aug Ringel-Hall algebras of cyclic quivers, Workshop for ICRA XIII, São Paulo, Brazil
• 2010 Sep The cluster complex of an hereditary algebra, 50th BLOC Meeting, University of Leicester

Additional Lectures

• 2002 Jan Quiver representations respecting quiver automorphisms, University of Leeds
• 2002 Feb Quiver representations respecting a quiver automorphism, BUGH Wuppertal
• 2002 May Quiver representations respecting a quiver automoprhism, University of Bristol
• 2002 Oct Quivers with an automorphism, their representations and symmetrisable Kac-Moody Lie algebras, Universität Bielefeld
• 2003 May Comparison of Kronekcer modules and vector bundles over the projective line, Universität Bielefeld
• 2003 May Canonical algebras and weighted projective lines, Universität Bielefeld
• 2003 July Representations of a quiver with automorphism, University of Antwerp
• 2003 Oct The composition monoid of the Kronecker algebra, Universität Paderborn
• 2003 Dec The composition monoid of the Kronecker quiver, Universität Bielefeld
• 2004 June The centre of the Hall algebra of a cyclic quiver, Universität Bielefeld
• 2004 July The center of the Hall algebra of a cyclic quiver, Universität Paderborn
• 2004 Nov Quantum affine algebras and extensions of modules, Universität Bielefeld
• 2005 July Stratifying systems and quantum Schur algebras, Universität Paderborn
• 2005 Oct Survey on cluster algebras, Universität Bielefeld
• 2006 Feb Acyclic cluster algebras via Ringel-Hall algebras, Institut de Mathématiques de Jussieu-Chevaleret, Paris
• 2006 July Some results concerning cluster algebras and cluster categories, Universität Paderborn
• 2006 Oct Hall polynomials for tame hereditary algebras, Universität Bonn
• 2007 Jan Hall polynomials for tame hereditary algebras, BU Wuppertal
• 2008 Mar Symmetric functions and cyclic quivers, University of Leeds
• 2009 May The simplicial complex of tilting modules, Universität Paderborn
• 2009 Nov The cluster complex for hereditary artin algebras, University of Leeds
• 2010 Feb Cluster algebras and the geometry of tilting modules, University of Newcastle
• 2010 July Tangent spaces, Massey products, and applications to representation theory, Universität Bielefeld

Workshops Organised

• Spring School on Hall algebras and their applications, Wuppertal 19 - 23 March 2007, co-organised with Markus Reineke

Seminars Organised

• 2001 Nov Degenerations of modules, University of Leeds
• 2002 Nov Generic extensions of modules, Universität Bielefeld
• 2003 Feb Triangulated categories and Kac-Moody Lie algebras, Universität Paderborn
• 2005 Oct From triangulated categories to cluster algebras, Universität Paderborn

Teaching

• Jan 99 - June 99 Supervisor, Linear algebra, University of Cambridge
• Oct 00 - June 02 Pure tutor, University of Leeds
• Jan 01 - June 01 Assistant, Modelling and investigations, University of Leeds
• Oct 01 - Dec 01 Demonstrator, Basic use of computers for mathematics, University of Leeds
• Oct 03 - Feb 04 Lineare Algebra I, Universität Paderborn
• Apr 04 - July 04 Mathematik für Maschinenbauer, Universität Paderborn
• Oct 05 - Feb 06 Lineare Algebra II, Universität Paderborn
• Apr 06 - July 06 Lineare Algebra II, Universität Paderborn
• Oct 06 - Feb 07 Introduction to Ringel-Hall algebras, Universität Paderborn
• Oct 06 - Feb 07 Mathematik für Informatiker, Universität Paderborn
• Apr 07 - July 07 Darstellungen von Köchern, Universität Paderborn
• Oct 07 - Dec 07 Lineare Algebra, Universität Paderborn
• Jan 08 - Pure Tutor, University of Leeds
• Jan 08 - June 08 Galois Theory, University of Leeds
• Oct 08 - June 09 Pure Project  Supervisor, University of Leeds
  
• Jan 09 - June 09 Galois Theory, University of Leeds
• Jan 09 - June 09 Modelling and investigations, University of Leeds