Publications (45)
Descent-cycling in Schubert calculus
Allen Knutson
Frobenius splitting and Möbius inversion
Allen Knutson
Polygon spaces and Grassmannians
Jean-Claude Hausmann, Allen Knutson
Puzzles and (equivariant) cohomology of Grassmannians
Allen Knutson, Terence Tao
The cohomology ring of symplectic cuts
Jean-Claude Hausmann, Allen Knutson
Product and puzzle formulae for GL_n Belkale-Kumar coefficients
Allen Knutson, Kevin Purbhoo
A limit of toric symplectic forms that has no periodic Hamiltonians
Jean-Claude Hausmann, Allen Knutson
A Schubert calculus recurrence from the noncomplex W-action on G/B
Allen Knutson
The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture
Allen Knutson, Terence Tao
Singularities of Richardson varieties
Allen Knutson, Alexander Woo, Alexander Yong
Balanced normal cones and Fulton-MacPherson's intersection theory
Allen Knutson
A compactly supported formula for equivariant localization, and, simplicial complexes of Bialynicki-Birula decompositions
Allen Knutson
Tableau complexes
Allen Knutson, Ezra Miller, Alexander Yong
Positroid Varieties: Juggling and Geometry
Allen Knutson, Thomas Lam, David Speyer
The Brauer loop scheme and orbital varieties
Allen Knutson, Paul Zinn-Justin
Schubert calculus and shifting of interval positroid varieties
Allen Knutson
Puzzles, positroid varieties, and equivariant K-theory of Grassmannians
Allen Knutson
Equivariant K-theory and Equivariant Cohomology
Ioanid Rosu, Allen Knutson
Randomly juggling backwards
Allen Knutson
Schubert patches degenerate to subword complexes
Allen Knutson
Gröbner geometry of vertex decompositions and of flagged tableaux
Allen Knutson, Ezra Miller, Alexander Yong
Honeycombs and sums of Hermitian matrices
Allen Knutson, Terence Tao
Complete moduli spaces of branchvarieties
Valery Alexeev, Allen Knutson
Subword complexes in Coxeter groups
Allen Knutson, Ezra Miller
The multidegree of the multi-image variety
Laura Escobar, Allen Knutson
Projections of Richardson Varieties
Allen Knutson, Thomas Lam, David E Speyer
A K_T-deformation of the ring of symmetric functions
Allen Knutson, Mathias Lederer
Three combinatorial formulas for type A quiver polynomials and K-polynomials
Ryan Kinser, Allen Knutson, Jenna Rajchgot
A scheme related to the Brauer loop model
Allen Knutson, Paul Zinn-Justin
A positive proof of the Littlewood-Richardson rule using the octahedron recurrence
Allen Knutson, Terence Tao, Christopher T. Woodward
Positive formulae for K-types of SL_3(R)-irreps and a Blattner formula for smooth K-orbit closures
Allen Knutson
A formula for K-theory truncation Schubert calculus
Allen Knutson, Alexander Yong
Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles
Iva Halacheva, Allen Knutson, Paul Zinn-Justin
The cohomology ring of polygon spaces
Jean-Claude Hausmann, Allen Knutson
Automatically reduced degenerations of automatically normal varieties
Allen Knutson
Gröbner geometry of Schubert polynomials
Allen Knutson, Ezra Miller
Compatibly Frobenius split subschemes are rigid
Allen Knutson
The symplectic and algebraic geometry of Horn's problem
Allen Knutson
The honeycomb model of GL(n) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone
Allen Knutson, Terence Tao, Christopher Woodward
Orbifold cohomology of torus quotients
Rebecca Goldin, Tara S. Holm, Allen Knutson
Four positive formulae for type A quiver polynomials
Allen Knutson, Ezra Miller, Mark Shimozono
Kempf collapsing and quiver loci
Allen Knutson, Mark Shimozono
Frobenius splitting, point-counting, and degeneration
Allen Knutson
Positroid varieties I: juggling and geometry
Allen Knutson, Thomas Lam, David E Speyer
Some schemes related to the commuting variety
Allen Knutson