We are currently having a study group on symplectic reflection algebras, which meets Wednesdays 4-5pm in S3.05.

In the academic year 2016-2017, we had a study group on differential geometry. In the autumn of 2015, we had a study group on Hall algebras. In the academic year 2014-2015, we had a study group on algebraic groups. In the academic year 2013-2014, we had two study groups: one in homological algebra and one in geometry in representation theory.

- Matthias Krebs (04/2010-07/2013), Auslander-Reiten theory in functorially finite subcategories.
- Keith Brown (10/2012-10/2016) Properly stratified quotients of quiver Hecke algebras.
- Ruari Walker (10/2012-02/2016), On Morita equivalences between KLR algebras and VV algebras.
- Robin Cussol (10/2013-01/2017), On the $A_\infty$-structure and quiver for the Weyl extension algebra of $GL_2(\overline{\mathbb{F}_p})$.
- Gabriele Bocca (10/2015-), joint with Joe Grant,
- James MacPherson (10/2016-).

- Lewis Topley (2013-2014), EPSRC Doctoral Prize Fellowship.
- Robert Laugwitz (2015-2016), EPSRC Doctoral Prize Fellowship.

- Trihedral Soergel bimodules (joint with Marco MacKaay, Volodymyr Mazorchuk, Daniel Tubbenhauer), preprint, arXiv.
- Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations (joint with Marco MacKaay, Volodymyr Mazorchuk, Xiaoting Zhang), preprint, arXiv.
- Cell 2-representations and categorification at prime roots of unity (joint with Robert Laugwitz), preprint, arXiv.
- Pyramids and 2-representations (joint with Volodymyr Mazorchuk, Xiaoting Zhang), preprint, arXiv.
- Characterisation and applications of k-split bimodules (joint with Volodymyr Mazorchuk, Xiaoting Zhang), arXiv, to appear in Mathematica Scandinavica.
- Simple transitive 2-representations via (co)algebra 1-morphisms (joint with Marco MacKaay, Volodymyr Mazorchuk, Daniel Tubbenhauer), arXiv, to appear in Indiana University Mathematics Journal.
- Affine quiver Schur algebras and p-adic GL_n (joint with Catharina Stroppel), preprint, arXiv.
- Isotypic faithful 2-representations of $\mathcal{J}$-simple fiat 2-categories (joint with Volodymyr Mazorchuk), arXiv, Math. Z. 282 (2016), no. 1, 411-434.
- Transitive 2-representations of finitary 2-categories (joint with Volodymyr Mazorchuk), arXiv, Trans. Amer. Math. Soc. 368 (2016), no. 11, 7623-7644 .
- Dimensions of Ext-groups of Weyl modules for GL_2 (joint with Stephan Baier, Sergey Lamzin), arXiv.
- Morita theory for finitary 2-categories (joint with Volodymyr Mazorchuk), arXiv, Quantum Topol. 7 (2016), no.1, 1-28.
- Affine cellularity of Khovanov-Lauda-Rouquier algebras in type A (joint with Alexander Kleshchev, Joseph Loubert), arXiv, J. London Math. Soc. (2013) 88 (2), 338-358.
- Endomorphisms of cell 2-representations (joint with Volodymyr Mazorchuk), arXiv, IMRN (2016), no. 24, 7471-7498.
- Additive versus abelian 2-representations of fiat 2-categories (joint with Volodymyr Mazorchuk), arXiv, Moscow Math. J. 14 (2014), no. 3, 595-615.
- Hochschild cohomology of polynomial representations of GL_2 (joint with Will Turner), arXiv, to appear in Documenta Mathematica.
- The Weyl extension algebra of $GL_2(\overline{\mathbb{F}}_p)$ (joint with Will Turner), arXiv, Adv. Math. 246 (2013), 144-197, corrigendum.
- 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, Ann. Inst. Fourier (Grenoble) 62 (2012), no. 1, 47-75.
- Koszul dual 2-functors and extension algebras of simple modules for GL_2 (joint with Will Turner), arXiv, Selecta Math. (N.S.) 21 (2015), no.2, 605-648.
- 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.

School of Mathematics ,
University of East Anglia
Vanessa Miemietz School of Mathematics University of East Anglia Norwich NR4 7TJ v.miemietz at uea.ac.uk +44 (0)1603 592918 |