The Poisson center and polynomial, maximal Poisson commutative subalgebras, especially for nilpotent Lie algebras of dimension at most seven

The Poisson geometry of the conjugation quotient map for simple algebraic groups and deformed Poisson W-algebras

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras $A^{(1)}_r$

The polynomial representation of the double affine Hecke algebra of type $(C^\vee_n, C_n)$ for specialized parameters

The Principal Element of a Frobenius Lie Algebra

The problem of harmonic analysis on the infinite-dimensional unitary group

The problems of classifying pairs of forms and local algebras with zero cube radical are wild

The product in the Hochschild cohomology ring of preprojective algebras of Dynkin quivers

The q-Gelfand-Tsetlin graph, Gibbs measures and q-Toeplitz matrices

The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups

The Quiver of Projectives in Hereditary Categories with Serre Duality

The Rahman polynomials and the Lie algebra sl_3(C)

The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras

The ramifications of the centres: quantised function algebras at roots of unity

The rank of a quiver representation

The rational Schur algebra

The Real Chevalley Involution

The real loci of Calogero-Moser spaces, representations of rational Cherednik algebras and the Shapiro conjecture

The reducible Specht modules for the Hecke algebra $\mathcal{H}_{\mathbb{C},-1}(\mathfrak{S}_n)$

The relative Hochschild-Serre spectral sequence and the Belkale-Kumar product