Fusion and specialization for type ADE shuffle algebras

Rational, trigonometric, elliptic algebras and moduli spaces of sheaves on surfaces

Hecke categories, idempotents, and commuting stacks

Generators of the preprojective CoHA of a quiver

The cohomology of the Quot scheme on a smooth curve as a Yangian representation

Quantum loop groups and K-theoretic stable envelopes

Reduced quiver quantum toroidal algebras

Quantum loop groups for arbitrary quivers

Quantum loop groups for symmetric Cartan matrices

An integral form of quantum toroidal gl_1 

The Trace of the affine Hecke category


arXiv:2201.07144

Computing the R-matrix of the quantum toroidal algebra

arXiv:2112.09094


Shuffle algebras for quivers as quantum groups


arXiv:2111.00249

Shuffle algebras for quivers and R-matrices

Shuffle algebras for quivers and wheel conditions



arXiv:2108.08779

Quantum loop groups and shuffle algebras via Lyndon words



arXiv:2102.11269

The universal sheaf as an operator



arXiv:2007.10496

The R-matrix of the quantum toroidal algebra


arXiv:2005.14182

Deformed W-algebras in type A for rectangular nilpotent 


arXiv:2004.02737

Motivic decompositions for the Hilbert scheme of points of a K3 surface 


arXiv:1912.09320

The Chow of S^[n] and the universal subscheme


arXiv:1912.03287

Toward AGT for parabolic sheaves


arXiv:1911.02963

A tale of two shuffle algebras

The PBW basis of U_{q,q'}(gl_n^^)

Lehn's formula in Chow and Conjectures  of Beauville and Voisin

Affine Laumon spaces and a conjecture of Kuznetsov

Hecke correspondences for smooth moduli spaces of sheaves

AGT relations for sheaves on surfaces

W-algebras associated to surfaces

Shuffle algebras associated to surfaces

The q-AGT-W relations via shuffle algebras

Flag Hilbert schemes, colored projectors and Khovanov-Rozansky homology

Infinitesimal change of stable basis

Exts and the AGT relations

Quantum algebras and cyclic quiver varieties

The m/n Pieri rule

Operators on symmetric polynomials

Refined knot invariants and Hilbert schemes

Quantum toroidal and shuffle algebras

Moduli of flags of sheaves and their K-theory

The shuffle algebra revisited

Affine Laumon spaces and integrable systems

Holder properties of perturbed skew products and Fubini regained

Invisible parts of attractors

Yangians and cohomology rings of Laumon spaces

Laumon spaces and the Calogero-Sutherland integrable system