Curriculum Vitae - Andrew Hubery

Personal Details

Name: Andrew William Hubery
Date of Birth: 28 July 1977
Nationality: British
Address: Universität Paderborn
Fakultät für Elektrotechnik, Informatik und Mathematik
Institut für Mathematik
Warburger Straße 100
33098 Paderborn
Tel: 05251-602602
Fax: 05251-603734
E-mail: hubery "at" math.upb.de

Education

School

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

University

Oct 95 - June 98 B.A. in Mathematics (First class in all three years)
Clare College, University of Cambridge
Oct 98 - June 99 Certificate of Advanced Study in Mathematics (Part III) with distinction
Clare College, University of Cambridge
March 02 M.A. Clare College, University of Cambridge
Oct 99 - Aug 02 Ph.D. in Mathematics, University of Leeds
Thesis title: Quiver Representations respecting a quiver automorphism and a theorem of Kac pdf.
Thesis supervisor: Prof. W. Crawley-Boevey

Prizes and Scholarships

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

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 - Wissenschaftlicher Assistent, Universität Paderborn
Oct 04 - Sep 05 Wissenschaftl. Angestellter, Uni. Bielefeld (DFG Stipendium)
(Dienstliche Beurlaubung)

Research Stays

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 Interests

Representations of quivers
Varieties and schemes of modules
Ringel-Hall algebras and quantum groups
Kac-Moody Lie algebras

Publications and Preprints

  1. A. Hubery, `Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac´, J. London Math. Soc. 69 (2004) 79-96 pdf.
  2. A. Hubery, `The composition algebra and composition monoid of the Kronecker quiver´, J. London Math. Soc. 72 (2005) 137-150 pdf.
  3. A. Hubery, `Symmetric functions and the centre of the Ringel-Hall algebra of a cyclic quiver´, Math. Z.251 (2005) 705-719 pdf.
  4. A. Hubery, `The quantised enveloping algebra of the affine general linear group', preprint.

Proceedings Articles

  1. A. Hubery, `Representations of a quiver with automorphism: generalising a theorem of Kac´, Fields Institute Communications 45 (2005).
  2. A. Hubery, `From triangulated categories to Lie algebras: A theorem of Peng and Xiao´, to appear math.RT/0502403

Conference Presentations

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

Additional Lectures

Jan 2002 Quiver representations respecting quiver automorphisms, University of Leeds
Feb 2002 Quiver representations respecting a quiver automorphism, BUGH Wuppertal
May 2002 Quiver representations resepcting a quiver automorphism, University of Bristol
Oct 2002 Quivers with an automorphism, their representations and symmetrisable Kac-Moody Lie algebras, Universität Bielefeld
May 2003 Comparison of Kronecker modules and vector bundles over the projective line, Universität Bielefeld
May 2003 Canonical algebras and weighted projective lines, Universität Bielefeld
July 2003 Representations of a quiver with automorphism, University of Antwerp
Oct 2003 The composition monoid of the Kronecker algebra, Universität Paderborn
Dec 2003 The composition monoid of the Kronecker quiver, Universität Bielefeld
June 2004 The centre of the Hall algebra of a cyclic quiver, Universität Bielefeld
July 2004 The centre of the Hall algebra of a cyclic quiver, Universität Paderborn
Nov 2004 Quantum affine algebras and extensions of modules, Universität Bielefeld
July 2005
Stratifying Systems and Quantum Schur Algebras, Universität Paderborn
Oct 2005
Survey on Cluster Algebras, Universität Bielefeld
Feb 2006
Acylic cluster algebras via Ringel-Hall algebras, Institut de Mathématiques de Jussieu-Chevaleret, Paris
July 2006
Some results concerning cluster algebras and cluster categories, Universität Paderborn
Oct 2006
Hall polynomials for tame hereditary algebras, Universität Bonn
Jan 2007
Hall polynomials for tame hereditary algenras, BU Wuppertal

Teaching

Jan 99 - June 99 Supervisor, Linear Algebra, Clare College, 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
April 04 - July 04 Mathematik für Maschinenbauer, Universität Paderborn
Oct 05 - Feb 06
Lineare Algebra I, Universität Paderborn
April 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
April 07 - July 07
Darstellungen von Köchern, Universität Paderborn
Oct 07 - Dec 07
Lineare Algebra, Universität Paderborn

Seminars Organised

Nov 2001
Degenerations of Modules, University of Leeds
Nov 2002
Generic Extensions of Modules, Universität Bielefeld
Feb 2003 Triangulated Categories and Kac-Moody Lie Algebras, Universität Paderborn
Oct 2005
From Triangulated Categories to Cluster Algebras, Universität Paderborn
Last updated 19.10.2006