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According to Wikipedia , Allen Ivar Knutson is an American mathematician who is a professor of mathematics at Cornell University. Education Knutson completed his undergraduate studies at the California Institute of Technology and received a Ph.D. from the Massachusetts Institute of Technology in 1996 under the joint advisorship of Victor Guillemin and Lisa Jeffrey.
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1990 2000 2010 2020 0 50 100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 Published Works The honeycomb model of GL(n) tensor products I: proof of the saturation conjecture (1998) (424)The honeycomb model of _{}(ℂ) tensor products I: Proof of the saturation conjecture (1999) Gröbner geometry of Schubert polynomials (2001) The honeycomb model of _{}(ℂ) tensor products II: Puzzles determine facets of the Littlewood-Richardson cone (2001) Puzzles and (equivariant) cohomology of Grassmannians (2001) Honeycombs and sums of Hermitian matrices (2000) (185)Positroid varieties: juggling and geometry (2009) Subword complexes in Coxeter groups (2003) The cohomology ring of polygon spaces (1997) Polygon spaces and Grassmannians (1996) (116)Gröbner geometry of vertex decompositions and of flagged tableaux (2005) Projections of Richardson Varieties (2010) Four positive formulae for type A quiver polynomials (2003) A Positive Proof of the Littlewood-Richardson Rule using the Octahedron Recurrence (2003) The symplectic and algebraic geometry of Horn's problem (1999) Sheaves on toric varieties for physics (1997) Frobenius splitting, point-counting, and degeneration (2009) (42)A scheme related to the Brauer loop model (2005) A Schubert calculus recurrence from the noncomplex W-action on G/B (2003) (36)Some schemes related to the commuting variety (2003) Complete moduli spaces of branchvarieties (2006) A Formula for K-Theory Truncation Schubert Calculus (2004) Orbifold cohomology of torus quotients (2005) Schubert Patches Degenerate to Subword Complexes (2008) Singularities of Richardson varieties (2012) Schubert puzzles and integrability I: invariant trilinear forms (2017) (21)The Mirković–Vilonen basis and Duistermaat–Heckman measures (2019) A Littelmann-type formula for Duistermaat-Heckman measures (1999) Product and Puzzle Formulae for GLn Belkale-Kumar Coefficients (2010) The Brauer loop scheme and orbital varieties (2010) Puzzles, positroid varieties, and equivariant K-theory of Grassmannians (2010) (17)Problems from the Cottonwood room (2005) Descent-Cycling in Schubert Calculus (2000) Weight Varieties (2007) (14)Schubert calculus and shifting of interval positroid varieties (2014) (14)Frobenius splitting and M\"obius inversion (2009) (13)A compactly supported formula for equivariant localization, and, simplicial complexes of Bialynicki-Birula decompositions (2008) Balanced Normal Cones and Fulton-MacPherson's Intersection Theory (2005) KEMPF COLLAPSING AND QUIVER LOCI (2006) (10)The Multidegree of the Multi-Image Variety (2017) Cohomology rings of symplectic cuts (1999) THE SATURATION CONJECTURE (AFTER A. KNUTSON (2006) (9)Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula. (2019) (9)A limit of toric symplectic forms that has no periodic Hamiltonians (1998) SCHUBERT POLYNOMIALS AND SYMMETRIC FUNCTIONS NOTES FOR THE LISBON COMBINATORICS SUMMER SCHOOL (2012) (8)Three combinatorial formulas for type A quiver polynomials and K-polynomials (2015) Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles (2018) (6)Automatically reduced degenerations of automatically normal varieties (2007) (6)A K_T-deformation of the ring of symmetric functions (2015) (6)Apiary views of the Berenstein-Zelevinsky polytope, and Klyachko's saturation conjecture (1998) (6)Schubert calculus \ and quiver varieties (2019) (5)The honeycomb model of the Berenstein-Zelevinsky polytope I. Klyachko's saturation conjecture (1998) (5)DEGENERATIONS OF SCHUBERT VARIETIES: A SURVEY (2015) (5)Equivariant Sheaves (1998) Schubert structure operators and K_T(G/B) (2019) (5)SCHUBERT CALCULUS AND QUANTUM INFORMATION (2009) (4)Compatibly Frobenius split subschemes are rigid (2009) (3)Schubert puzzles and integrability II: multiplying motivic Segre classes (2021) (3)Schubert calculus and puzzles (2016) Generalized Robinson-Schensted Algorithms (2009) (2)Grassmann–Grassmann conormal varieties, integrability, and plane partitions (2016) MAC-CUBE, the Macintosh-based hypercube (1988) Randomly juggling backwards (2016) The Duistermaat-Heckman formula and Chern-Schwartz-MacPherson classes (2022) (0)A Bruhat Atlas for the Mehta–van der Kallen Stratification of T∗GLn/B (2021) SCHUBERT VARIETIES , SUBWORD COMPLEXES , FROBENIUS SPLITTING , AND BRUHAT ATLASES (2017) (0)Contemporary Mathematics Problems from the Cottonwood Room (2013) (0)Schubert structure operators and $K^\ast_T (G/B)$ (2021) Descent-cycling in Schubert Calculus 1. Background on Schubert Problems (0)Ju n 20 03 SOME SCHEMES RELATED TO THE COMMUTING VARIETY (2003) (0)The cohomology ring of symplectic cuts (1998) (0)NOTES #2: HILBERT AND KRULL DIMENSIONS (2017) (0)NOTES FOR MATH 7670, ALGEBRAIC GEOMETRY (2011) (0)A stratification of the space of allk-planes inC n (2012) (0)NOTES FOR THE “GEOMETRIC R-MATRICES” SUMMER SCHOOL (2017) (0)Positive formulae for K-types of SL_3(R)-irreps and a Blattner formula for smooth K-orbit closures (2014) (0)CHARACTER THEORY OF FINITE GROUPS SUMMARY FOR MATH 261, FALL 2001 (0)REPRESENTATIONS OF U(N) – CLASSIFICATION BY HIGHEST WEIGHTS NOTES FOR MATH 261, FALL 2001 (0)SHEAF COHOMOLOGY COURSE NOTES, SPRING 2010 (2010) (0)MATH 7390 SPRING 2022 – SYMPLECTIC RESOLUTIONS (2022) (0)SG ] 3 J ul 1 99 8 Cohomology rings of symplectic cuts (2009) (0)K-orbits on G/b Notes for a Topics Course, Fall 2012 (0)COHOMOLOGY OF TORUS QUOTIENTS (2008) (0)LIE THEORY AND TOPOLOGY (2011) (0)Interval positroid varieties and a deformation of the ring of symmetric functions (2014) (0)SCHUBERT CALCULUS AND PUZZLES NOTES FOR THE OSAKA SUMMER SCHOOL 2012 (2012) (0)EQUIVARIANT K-THEORY AND EQUIVARIANT COHOMOLOGY By Ioanid Rosu with an appendix by (0)Interlude : Why care whether it ’ s a ball ? (2004) (0)HW ANSWERS IN 3340, SPRING 2017 (2017) (0)REPRESENTATIONS OF U(N) – THE BOREL-WEIL THEOREM NOTES FOR MATH 261, FALL 2001 (2015) (0)Math 6670 : Algebraic Geometry Taught (2017) (0)Math 7310 Fall 2010: Introduction to Geometric Representation Theory (0)More Papers This paper list is powered by the following services:
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