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Allen Knutson

  1. Gröbner geometry of Schubert polynomials
    2005/05/01 by Allen Knutson, Ezra Miller · 30 citations
    Mathematics · #Advanced Combinatorial Mathematics #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
  2. The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture
    1998/07/28 by Allen Knutson, Terence Tao, Knutson, Allen +1 · 10 citations
    Mathematics · #05E15 #15A42 #22E46 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.CO #math.RA #math.RT #msc:05E15 #msc:15A42 #msc:22E46
  3. Positroid Varieties: Juggling and Geometry
    2011/11/15 by Allen Knutson, Thomas Lam, Knutson, Allen +3 · 5 citations
    Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models
  4. Subword complexes in Coxeter groups
    2003/09/16 by Allen Knutson, Ezra Miller, Knutson, Allen +1 · 3 citations
    Mathematics · #05E99 #13F55 #20F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Group Theory (math.GR) #math.AC #math.CO #math.GR #msc:05E99 #msc:13F55 #msc:20F55
  5. The symplectic and algebraic geometry of Horn's problem
    1999/11/12 by Allen Knutson, Knutson, Allen · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Symplectic Geometry (math.SG) #math.AG #math.RA #math.RT #math.SG
  6. Four positive formulae for type A quiver polynomials
    2003/08/14 by Allen Knutson, Knutson, Allen, Ezra Miller +3 · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.AC #math.AG #math.CO #msc:05E05 #msc:05E15 #msc:14C17 #msc:14M12
  7. A Schubert calculus recurrence from the noncomplex W-action on G/B
    2003/06/20 by Allen Knutson, Knutson, Allen · 1 citation
    Mathematics · #14M15 14N15 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #math.CO #msc:14M15 #msc:14N15
  8. Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes
    2024/11/17 by Allen Knutson, Knutson, Allen, Paul Zinn-Justin +1 · 2 citations
    Mathematics · #Rings, Modules, and Algebras #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications