Events

23 November 2011: Number Theory and Representation Theory (LMS Inaugural Meeting), UEA London

Research

Publications and preprints

• Additive versus abelian 2-representations of fiat 2-categories (joint with Volodymyr Mazorchuk), arXiv, submitted.
  

• Hochschild cohomology of $GL_2(\overline{\mathbb{F}}_p)$ (joint with Will Turner), arXiv, submitted.
  

• The Weyl extension algebra of $GL_2(\overline{\mathbb{F}}_p)$ (joint with Will Turner), arXiv, submitted.
  

• Cell 2-representations of finitary 2-categories (joint with Volodymyr Mazorchuk), arXiv, Compositio Math. 147 (2011), 1519-1545.
  

• Affine cellularity of affine Hecke algebras of rank two (joint with Jérémie Guilhot), arXiv, Math. Z. 271 (2012), no. 1-2, 373-397.
  

• Serre functors for Lie algebras and Lie superalgebras (joint with Volodymyr Mazorchuk), arxiv, to appear in Annales de l'Institut Fourier.
  

• The Yoneda extension algebra of $GL_2(\overline{\mathbb{F}}_p)$ (joint with Will Turner), arXiv, submitted.
  

• Hicas of length $\leq 4$ (joint with Will Turner), Documenta Math. 15, (2010), 177-205.
  

• On Auslander-Reiten translates in functorially finite subcategories and applications (joint with Karin Erdmann, Dag Madsen), Colloq. Math. 119 (2010), 51-77.
  

• On the representation dimension of Schur algebras (joint with Steffen Oppermann), Algebr. Represent. Theory 14 (2011), no. 2, 283-300.
  

• Idempotent subquotients of symmetric quasi-hereditary algebras (joint with Volodymyr Mazorchuk), Illinois J. Math. 53 (2009), no. 3, 737-756.
  

• Homotopy, Homology and $GL_2$ (joint with Will Turner), Proc. London Math. Soc. (3) 100 (2010), no.2, 585-606.
  

• Crystals and affine Hecke algebras of type $D$ (joint with Masaki Kashiwara), Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 7, 135-139.
  

• Rational Representations of $GL_2$ (joint with Will Turner), arXiv, Glasgow J. Math. 53 (2011), no.2, 257-275.
  

• On Representations of Affine Hecke Algebras of Type $B$, Algebr. Represent. Theory 11 (2008), no. 4, 369-405.
  

Teaching