"Frobenius twists" in the representation theory of the symmetric group

$B_2$-crystals: axioms, structure, models

$d$-Koszul algebras, 2-$d$ determined algebras and 2-$d$-Koszul algebras

$EE_8$-lattices and dihedral groups

$G$-complete reducibility and semisimple modules

$G$-stable pieces and Lusztig's dimension estimates

$G$-stable pieces and partial flag varieties

$H^*$-algebras and quantization of para-Hermitian spaces

$m$-cluster categories and $m$-replicated algebras

$q$-Inverting pairs of linear transformations and the $q$-tetrahedron algebra

$R$--groups and elliptic representations for similitude groups

$W$-graph versions of tensoring with the $§_n$ defining representation

$\mathcal{C}$-filtered modules and proper costratifying systems

(GL(2n,C),SP(2n,C)) is a Gelfand Pair

(GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F

(Ir)Reducibility of some commuting varieties associated with involutions

(O(V+F), O(V)) is a Gelfand pair for any quadratic space V over a local field F

1-dimensional representations and parabolic induction for W-algebras

1-quasi-hereditary algebras

1-quasi-hereditary algebras: Examples and invariant submodules of projectives