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Author ID: knutson.allen Recent zbMATH articles by "Knutson, Allen"
Published as: Knutson, Allen; Knutson, A.
Further Spellings: Knutson, Allen Ivar
Homepage: https://pi.math.cornell.edu/~allenk/
External Links: MGP · Wikidata · Google Scholar · MathOverflow · dblp
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Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 1,276 times in 896 Documents Cited by Year
The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097
Knutson, Allen; Tao, Terence
202
1999
Gröbner geometry of Schubert polynomials. Zbl 1089.14007
Knutson, Allen; Miller, Ezra
141
2005
The honeycomb model of \(\text{GL}_n({\mathbb C})\) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111
Knutson, Allen; Tao, Terence; Woodward, Christopher
119
2004
Positroid varieties: juggling and geometry. Zbl 1330.14086
Knutson, Allen; Lam, Thomas; Speyer, David E.
106
2013
Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063
Knutson, Allen; Tao, Terence
93
2003
Subword complexes in Coxeter groups. Zbl 1069.20026
Knutson, Allen; Miller, Ezra
78
2004
The cohomology ring of polygon spaces. Zbl 0903.14019
Hausmann, Jean-Claude; Knutson, Allen
64
1998
Gröbner geometry of vertex decompositions and of flagged tableaux. Zbl 1169.14033
Knutson, Allen; Miller, Ezra; Yong, Alexander
58
2009
Honeycombs and sums of Hermitian matrices. Zbl 1047.15006
Knutson, Allen; Tao, Terence
53
2001
Polygon spaces and Grassmannians. Zbl 0888.58007
Hausmann, Jean-Claude; Knutson, Allen
45
1997
Projections of Richardson varieties. Zbl 1345.14047
Knutson, Allen; Lam, Thomas; Speyer, David E.
40
2014
Four positive formulae for type \(A\) quiver polynomials. Zbl 1107.14046
Knutson, Allen; Miller, Ezra; Shimozono, Mark
29
2006
Equivariant \(K\)-theory and equivariant cohomology. Zbl 1019.19003
Rosu, Ioanid; Knutson, Allen
27
2003
The symplectic and algebraic geometry of Horn’s problem. Zbl 0981.15010
Knutson, Allen
21
2000
A positive proof of the Littlewood-Richardson rule using the octahedron recurrence. Zbl 1053.05119
Knutson, Allen; Tao, Terence; Woodward, Christopher
17
2004
Some schemes related to the commuting variety. Zbl 1074.14044
Knutson, Allen
15
2005
A formula for \(K\)-theory truncation Schubert calculus. Zbl 1072.14071
Knutson, Allen; Yong, Alexander
13
2004
A scheme related to the Brauer loop model. Zbl 1193.14068
Knutson, Allen; Zinn-Justin, Paul
13
2007
The Brauer loop scheme and orbital varieties. Zbl 1326.81094
Knutson, Allen; Zinn-Justin, Paul
13
2014
Schubert patches degenerate to subword complexes. Zbl 1200.14099
Knutson, Allen
10
2008
Singularities of Richardson varieties. Zbl 1298.14053
Knutson, Allen; Woo, Alexander; Yong, Alexander
10
2013
Sheaves on toric varieties for physics. Zbl 0943.14021
Knutson, Allen; Sharpe, Eric
9
1998
Descent-cycling in Schubert calculus. Zbl 1060.14078
Knutson, Allen
9
2001
Orbifold cohomology of torus quotients. Zbl 1159.14029
Goldin, Rebecca; Holm, Tara S.; Knutson, Allen
9
2007
Tableau complexes. Zbl 1145.05055
Knutson, Allen; Miller, Ezra; Yong, Alexander
9
2008
A Littelmann-type formula for Duistermaat-Heckman measures. Zbl 0971.58014
Knutson, Allen
8
1999
The Mirković-Vilonen basis and Duistermaat-Heckman measures. Zbl 1495.22011
Baumann, Pierre; Kamnitzer, Joel; Knutson, Allen
8
2021
Product and puzzle formulae for \(GL_n\) Belkale-Kumar coefficients. Zbl 1232.05239
Knutson, Allen; Purbhoo, Kevin
7
2011
Complete moduli spaces of branchvarieties. Zbl 1191.14001
Alexeev, Valery; Knutson, Allen
7
2010
Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula. Zbl 1489.14070
Knutson, Allen
5
2022
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
A compactly supported formula for equivariant localization and simplicial complexes of Białynicki-Birula decompositions. Zbl 1232.14029
Knutson, Allen
4
2010
The multidegree of the multi-image variety. Zbl 1390.14145
Escobar, Laura; Knutson, Allen
4
2017
Schubert calculus and puzzles. Zbl 1378.14055
Knutson, Allen
3
2016
Schubert structure operators. Zbl 1440.14243
Goldin, Rebecca; Knutson, Allen
3
2019
Balanced normal cones and Fulton-MacPherson’s intersection theory. Zbl 1110.14011
Knutson, Allen
3
2006
Interval positroid varieties and a deformation of the ring of symmetric functions. Zbl 1393.05274
Knutson, Allen; Lederer, Mathias
3
2014
Cohomology rings of symplectic cuts. Zbl 0986.57022
Hausmann, Jean-Claude; Knutson, Allen
2
1999
A limit of toric symplectic forms that has no periodic Hamiltonians. Zbl 0984.53031
Hausmann, J.-C.; Knutson, A.
2
2000
Grassmann-Grassmann conormal varieties, integrability, and plane partitions. (Variétés conormales Grassmann-Grassmann, intégrabilité et partitions planes.) Zbl 1471.14104
Knutson, Allen; Zinn-Justin, Paul
2
2019
Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles. Zbl 1435.14049
Halacheva, Iva; Knutson, Allen; Zinn-Justin, Paul
2
2019
Three combinatorial formulas for type \(A\) quiver polynomials and \(K\)-polynomials. Zbl 1480.16035
Kinser, Ryan; Knutson, Allen; Rajchgot, Jenna
2
2019
Schubert structure operators and \(K^\ast_T (G/B)\). Zbl 1487.14108
Goldin, Rebecca; Knutson, Allen
1
2021
Equivariant sheaves. Zbl 1055.14504
Knutson, Allen; Sharpe, Eric
1
1999
Randomly juggling backwards. Zbl 1396.05047
Knutson, Allen
1
2018
Schubert calculus and quiver varieties. Zbl 1532.14085
Knutson, Allen
1
2023
Schubert calculus and quiver varieties. Zbl 1532.14085
Knutson, Allen
1
2023
Schubert polynomials, pipe dreams, equivariant classes, and a co-transition formula. Zbl 1489.14070
Knutson, Allen
5
2022
The Mirković-Vilonen basis and Duistermaat-Heckman measures. Zbl 1495.22011
Baumann, Pierre; Kamnitzer, Joel; Knutson, Allen
8
2021
Schubert structure operators and \(K^\ast_T (G/B)\). Zbl 1487.14108
Goldin, Rebecca; Knutson, Allen
1
2021
Schubert structure operators. Zbl 1440.14243
Goldin, Rebecca; Knutson, Allen
3
2019
Grassmann-Grassmann conormal varieties, integrability, and plane partitions. (Variétés conormales Grassmann-Grassmann, intégrabilité et partitions planes.) Zbl 1471.14104
Knutson, Allen; Zinn-Justin, Paul
2
2019
Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles. Zbl 1435.14049
Halacheva, Iva; Knutson, Allen; Zinn-Justin, Paul
2
2019
Three combinatorial formulas for type \(A\) quiver polynomials and \(K\)-polynomials. Zbl 1480.16035
Kinser, Ryan; Knutson, Allen; Rajchgot, Jenna
2
2019
Randomly juggling backwards. Zbl 1396.05047
Knutson, Allen
1
2018
The multidegree of the multi-image variety. Zbl 1390.14145
Escobar, Laura; Knutson, Allen
4
2017
Schubert calculus and puzzles. Zbl 1378.14055
Knutson, Allen
3
2016
Projections of Richardson varieties. Zbl 1345.14047
Knutson, Allen; Lam, Thomas; Speyer, David E.
40
2014
The Brauer loop scheme and orbital varieties. Zbl 1326.81094
Knutson, Allen; Zinn-Justin, Paul
13
2014
Interval positroid varieties and a deformation of the ring of symmetric functions. Zbl 1393.05274
Knutson, Allen; Lederer, Mathias
3
2014
Positroid varieties: juggling and geometry. Zbl 1330.14086
Knutson, Allen; Lam, Thomas; Speyer, David E.
106
2013
Singularities of Richardson varieties. Zbl 1298.14053
Knutson, Allen; Woo, Alexander; Yong, Alexander
10
2013
Product and puzzle formulae for \(GL_n\) Belkale-Kumar coefficients. Zbl 1232.05239
Knutson, Allen; Purbhoo, Kevin
7
2011
Complete moduli spaces of branchvarieties. Zbl 1191.14001
Alexeev, Valery; Knutson, Allen
7
2010
A compactly supported formula for equivariant localization and simplicial complexes of Białynicki-Birula decompositions. Zbl 1232.14029
Knutson, Allen
4
2010
Gröbner geometry of vertex decompositions and of flagged tableaux. Zbl 1169.14033
Knutson, Allen; Miller, Ezra; Yong, Alexander
58
2009
Schubert patches degenerate to subword complexes. Zbl 1200.14099
Knutson, Allen
10
2008
Tableau complexes. Zbl 1145.05055
Knutson, Allen; Miller, Ezra; Yong, Alexander
9
2008
A scheme related to the Brauer loop model. Zbl 1193.14068
Knutson, Allen; Zinn-Justin, Paul
13
2007
Orbifold cohomology of torus quotients. Zbl 1159.14029
Goldin, Rebecca; Holm, Tara S.; Knutson, Allen
9
2007
Four positive formulae for type \(A\) quiver polynomials. Zbl 1107.14046
Knutson, Allen; Miller, Ezra; Shimozono, Mark
29
2006
Balanced normal cones and Fulton-MacPherson’s intersection theory. Zbl 1110.14011
Knutson, Allen
3
2006
Gröbner geometry of Schubert polynomials. Zbl 1089.14007
Knutson, Allen; Miller, Ezra
141
2005
Some schemes related to the commuting variety. Zbl 1074.14044
Knutson, Allen
15
2005
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
The honeycomb model of \(\text{GL}_n({\mathbb C})\) tensor products. II: Puzzles determine facets of the Littlewood-Richardson cone. Zbl 1043.05111
Knutson, Allen; Tao, Terence; Woodward, Christopher
119
2004
Subword complexes in Coxeter groups. Zbl 1069.20026
Knutson, Allen; Miller, Ezra
78
2004
A positive proof of the Littlewood-Richardson rule using the octahedron recurrence. Zbl 1053.05119
Knutson, Allen; Tao, Terence; Woodward, Christopher
17
2004
A formula for \(K\)-theory truncation Schubert calculus. Zbl 1072.14071
Knutson, Allen; Yong, Alexander
13
2004
Puzzles and (equivariant) cohomology of Grassmannians. Zbl 1064.14063
Knutson, Allen; Tao, Terence
93
2003
Equivariant \(K\)-theory and equivariant cohomology. Zbl 1019.19003
Rosu, Ioanid; Knutson, Allen
27
2003
Honeycombs and sums of Hermitian matrices. Zbl 1047.15006
Knutson, Allen; Tao, Terence
53
2001
Descent-cycling in Schubert calculus. Zbl 1060.14078
Knutson, Allen
9
2001
The symplectic and algebraic geometry of Horn’s problem. Zbl 0981.15010
Knutson, Allen
21
2000
A limit of toric symplectic forms that has no periodic Hamiltonians. Zbl 0984.53031
Hausmann, J.-C.; Knutson, A.
2
2000
The honeycomb model of \(\text{GL}_n(\mathbb C)\) tensor products. I: Proof of the saturation conjecture. Zbl 0944.05097
Knutson, Allen; Tao, Terence
202
1999
A Littelmann-type formula for Duistermaat-Heckman measures. Zbl 0971.58014
Knutson, Allen
8
1999
Cohomology rings of symplectic cuts. Zbl 0986.57022
Hausmann, Jean-Claude; Knutson, Allen
2
1999
Equivariant sheaves. Zbl 1055.14504
Knutson, Allen; Sharpe, Eric
1
1999
The cohomology ring of polygon spaces. Zbl 0903.14019
Hausmann, Jean-Claude; Knutson, Allen
64
1998
Sheaves on toric varieties for physics. Zbl 0943.14021
Knutson, Allen; Sharpe, Eric
9
1998
Polygon spaces and Grassmannians. Zbl 0888.58007
Hausmann, Jean-Claude; Knutson, Allen
45
1997
all top 5

Cited by 929 Authors

31 Yong, Alexander
22 Lam, Thomas F.
18 Knutson, Allen
16 Skovsted Buch, Anders
16 Zinn-Justin, Paul
15 Speyer, David E.
14 Pechenik, Oliver
13 Weigandt, Anna E.
12 Galashin, Pavel
12 Pak, Igor
12 Pawlowski, Brendan Alexander
12 Ressayre, Nicolas
12 Rimányi, Richárd
11 Belkale, Prakash
11 Pilaud, Vincent
11 Rajchgot, Jenna Beth
10 Ceballos, Cesar
10 Mészáros, Karola
9 Panova, Greta
9 Williams, Lauren K.
8 Davis, Donald M.
8 Dizier, Avery St.
8 Hamaker, Zachary
8 Kamiyama, Yasuhiko
8 Marberg, Eric
8 Purbhoo, Kevin
8 Shonkwiler, Clayton
8 Stump, Christian
8 Tymoczko, Julianna S.
7 Bergeron, Nantel
7 Billey, Sara C.
7 Di Francesco, Philippe
7 Fink, Alex
7 Hausmann, Jean-Claude
7 Matsumura, Tomoo
7 Mihalcea, Leonardo Constantin
7 Miller, Ezra
7 Morales, Alejandro Henry
7 Shimozono, Mark
6 Anderson, Dave Edward
6 Bercovici, Hari
6 Guo, Peter Long
6 Harada, Megumi
6 Kamnitzer, Joel
6 Kannan, Senthamarai
6 Kumar, Shrawan
6 Manon, Christopher
6 Needham, Tom
6 Richmond, Edward
6 Sherman-Bennett, Melissa U.
5 Cantarella, Jason H.
5 Christandl, Matthias
5 Farber, Michael S.
5 Goldin, Rebecca F.
5 Graham, William A.
5 Karp, Steven N.
5 Kiers, Joshua
5 Kreiman, Victor
5 Li, Changzheng
5 Li, Wing Suet
5 Muller, Greg
5 Narayanan, Hariharan
5 Naruse, Hiroshi
5 Robichaux, Colleen
5 Scrimshaw, Travis
5 Smirnov, Evgeny Yurievich
5 Tamvakis, Harry
5 Trnka, Jaroslav
5 Varchenko, Alexander Nikolaevich
5 Walter, Michael
5 Yu, Tianyi
4 Castillo, Federico
4 Cho, Soojin
4 Cid-Ruiz, Yairon
4 Coquereaux, Robert
4 Escobar, Laura
4 Fehér, László M.
4 Fei, Jiarui
4 Fraser, Chris
4 Gao, Shiliang
4 Henriques, André G.
4 Herrmann, Enrico
4 Holm, Tara S.
4 Ikeda, Takeshi
4 Ikenmeyer, Christian
4 Karpman, Rachel
4 Klein, Patricia
4 Kresch, Andrew
4 Labbé, Jean-Philippe
4 Lanini, Martina
4 Littelmann, Peter
4 Liu, Ricky Ini
4 Marcott, Cameron
4 Monical, Cara
4 Nayek, Arpita
4 Postnikov, Alexander E.
4 Pylyavskyy, Pavlo
4 Schütz, Dirk
4 Searles, Dominic
4 Serhiyenko, Khrystyna
...and 829 more Authors
all top 5

Cited in 192 Serials

74 Advances in Mathematics
36 Journal of Combinatorial Theory. Series A
36 Journal of Algebraic Combinatorics
34 Séminaire Lotharingien de Combinatoire
28 Journal of Algebra
27 Transactions of the American Mathematical Society
27 Algebraic Combinatorics
23 The Electronic Journal of Combinatorics
22 Transformation Groups
20 Linear Algebra and its Applications
17 Duke Mathematical Journal
17 Selecta Mathematica. New Series
15 Inventiones Mathematicae
14 Proceedings of the American Mathematical Society
14 Advances in Applied Mathematics
13 Communications in Mathematical Physics
13 Mathematische Zeitschrift
12 Annales de l’Institut Fourier
12 Journal of High Energy Physics
11 Communications in Algebra
10 Journal of the American Mathematical Society
9 Compositio Mathematica
9 Mathematische Annalen
9 Topology and its Applications
9 European Journal of Combinatorics
8 Journal of Pure and Applied Algebra
8 Annals of Combinatorics
6 Journal of Geometry and Physics
6 International Journal of Mathematics
6 Algebraic & Geometric Topology
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Physics A: Mathematical and Theoretical
6 Combinatorial Theory
5 Letters in Mathematical Physics
5 Geometriae Dedicata
5 Michigan Mathematical Journal
5 Proceedings of the London Mathematical Society. Third Series
5 SIAM Journal on Discrete Mathematics
5 Forum Mathematicum
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Experimental Mathematics
5 Journal of Algebraic Geometry
5 Journal of Statistical Mechanics: Theory and Experiment
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Forum of Mathematics, Sigma
4 Discrete Mathematics
4 Linear and Multilinear Algebra
4 Bulletin of the London Mathematical Society
4 Canadian Journal of Mathematics
4 Journal of the London Mathematical Society. Second Series
4 Journal für die Reine und Angewandte Mathematik
4 Probability Theory and Related Fields
4 Computational Complexity
4 Journal of Commutative Algebra
3 Illinois Journal of Mathematics
3 Memoirs of the American Mathematical Society
3 Pacific Journal of Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Lie Theory
3 Representation Theory
3 Oberwolfach Reports
3 Algebra & Number Theory
3 SIAM Journal on Applied Algebra and Geometry
3 Communications of the American Mathematical Society
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Russian Mathematical Surveys
2 Chaos, Solitons and Fractals
2 The Mathematical Intelligencer
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 The Annals of Probability
2 Journal of Functional Analysis
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Discrete & Computational Geometry
2 SIAM Journal on Matrix Analysis and Applications
2 Random Structures & Algorithms
2 Differential Geometry and its Applications
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Documenta Mathematica
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Annales Henri Poincaré
2 Foundations of Computational Mathematics
2 JP Journal of Geometry and Topology
2 Journal of Algebra and its Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Topology
2 International Electronic Journal of Geometry
2 Advances and Applications in Discrete Mathematics
2 Journal of Topology and Analysis
2 Science China. Mathematics
2 The Journal of Software for Algebra and Geometry
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
2 Probability and Mathematical Physics
...and 92 more Serials
all top 5

Cited in 54 Fields

493 Algebraic geometry (14-XX)
406 Combinatorics (05-XX)
122 Group theory and generalizations (20-XX)
110 Commutative algebra (13-XX)
96 Convex and discrete geometry (52-XX)
87 Linear and multilinear algebra; matrix theory (15-XX)
72 Differential geometry (53-XX)
71 Algebraic topology (55-XX)
68 Associative rings and algebras (16-XX)
65 Nonassociative rings and algebras (17-XX)
64 Manifolds and cell complexes (57-XX)
58 Topological groups, Lie groups (22-XX)
45 Quantum theory (81-XX)
33 \(K\)-theory (19-XX)
28 Statistical mechanics, structure of matter (82-XX)
24 Number theory (11-XX)
24 Probability theory and stochastic processes (60-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Several complex variables and analytic spaces (32-XX)
21 Computer science (68-XX)
15 Dynamical systems and ergodic theory (37-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
12 Operator theory (47-XX)
10 Numerical analysis (65-XX)
10 Mechanics of particles and systems (70-XX)
9 Functional analysis (46-XX)
8 Partial differential equations (35-XX)
8 Geometry (51-XX)
8 Operations research, mathematical programming (90-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Special functions (33-XX)
5 Category theory; homological algebra (18-XX)
5 Approximations and expansions (41-XX)
5 Abstract harmonic analysis (43-XX)
5 Systems theory; control (93-XX)
4 Real functions (26-XX)
4 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
3 Ordinary differential equations (34-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Functions of a complex variable (30-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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