Edit Profile (opens in new tab) Skovsted Buch, Anders Compute Distance To: Compute Author ID: buch.anders-skovsted Published as: Buch, Anders Skovsted; Buch, Anders S.; Skovsted Buch, Anders; Buch, Anders more...less External Links: MGP Documents Indexed: 42 Publications since 1996 Co-Authors: 22 Co-Authors with 30 Joint Publications 368 Co-Co-Authors all top 5 Co-Authors 12 single-authored 10 Kresch, Andrew 10 Tamvakis, Harry 7 Mihalcea, Leonardo Constantin 4 Chaput, Pierre-Emmanuel 4 Perrin, Nicolas 4 Yong, Alexander 3 Rimányi, Richárd 2 Chung, Sjuvon 2 Fulton, William 2 Lauritzen, Niels 2 Mehta, Vikram Bhagvandas 2 Thomsen, Jesper F. 1 Borisov, Lev A. 1 Fatighenti, Enrico 1 Fehér, László M. 1 Li, Changzheng 1 Purbhoo, Kevin 1 Ravikumar, Vijay 1 Samuel, Matthew J. 1 Shimozono, Mark 1 Sottile, Frank 1 Wang, Chengxi all top 5 Serials 3 Duke Mathematical Journal 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Journal of the American Mathematical Society 2 Journal of Algebraic Combinatorics 2 Selecta Mathematica. New Series 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra & Number Theory 1 Algebraic Geometry all top 5 Fields 41 Algebraic geometry (14-XX) 25 Combinatorics (05-XX) 13 \(K\)-theory (19-XX) 4 Manifolds and cell complexes (57-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 680 times in 357 Documents Cited by ▼ Year ▼ A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians. Zbl 1090.14015Buch, Anders Skovsted 125 2002 Gromov-Witten invariants on Grassmannians. Zbl 1063.53090Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 45 2003 Quantum cohomology of Grassmannians. Zbl 1050.14053Buch, Anders Skovsted 37 2003 Stable Grothendieck polynomials and \(K\)-theoretic factor sequences. Zbl 1157.14036Buch, Anders Skovsted; Kresch, Andrew; Shimozono, Mark; Tamvakis, Harry; Yong, Alexander 36 2008 The saturation conjecture (after A. Knutson and T. Tao). With an appendix by William Fulton. Zbl 0979.20041Skovsted Buch, Anders 34 2000 Quantum Pieri rules for isotropic Grassmannians. Zbl 1193.14071Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 34 2009 \(K\)-theory of minuscule varieties. Zbl 1431.19001Skovsted Buch, Anders; Samuel, Matthew J. 29 2016 Grothendieck classes of quiver varieties. Zbl 1052.14056Buch, Anders Skovsted 28 2002 Chern class formulas for quiver varieties. Zbl 0942.14027Skovsted Buch, Anders; Fulton, William 26 1999 Quantum \(K\)-theory of Grassmannians. Zbl 1213.14103Buch, Anders S.; Mihalcea, Leonardo C. 21 2011 A Giambelli formula for isotropic Grassmannians. Zbl 1360.14125Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 18 2017 The Frobenius morphism on a toric variety. Zbl 0899.14026Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels; Mehta, Vikram 17 1997 Curve neighborhoods of Schubert varieties. Zbl 1453.14117Buch, Anders S.; Mihalcea, Leonardo C. 17 2015 A Giambelli formula for even orthogonal Grassmannians. Zbl 1342.14108Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 16 2015 Pieri rules for the \(K\)-theory of cominuscule Grassmannians. Zbl 1298.14059Buch, Anders Skovsted; Ravikumar, Vijay 16 2012 The puzzle conjecture for the cohomology of two-step flag manifolds. Zbl 1356.05154Buch, Anders Skovsted; Kresch, Andrew; Purbhoo, Kevin; Tamvakis, Harry 16 2016 Quantum Giambelli formulas for isotropic Grassmannians. Zbl 1262.14070Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 15 2012 Mutations of puzzles and equivariant cohomology of two-step flag varieties. Zbl 1354.14072Buch, Anders Skovsted 14 2015 Alternating signs of quiver coefficients. Zbl 1061.14050Buch, Anders Skovsted 11 2005 Schubert polynomials and quiver formulas. Zbl 1072.14067Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry; Yong, Alexander 11 2004 Positivity of quiver coefficients through Thom polynomials. Zbl 1076.14075Buch, Anders S.; Fehér, László M.; Rimányi, Richárd 10 2005 Finiteness of cominuscule quantum \(K\)-theory. (Finitude de la \(K\)-théorie quantique cominuscule.) Zbl 1282.14016Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 10 2013 A Chevalley formula for the equivariant quantum \(K\)-theory of cominuscule varieties. Zbl 1420.14125Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 9 2018 Littlewood-Richardson rules for Grassmannians. Zbl 1053.05121Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 9 2004 Specializations of Grothendieck polynomials. Zbl 1051.14062Buch, Anders S.; Rimányi, Richárd 9 2004 A formula for non-equioriented quiver orbits of type \(A\). Zbl 1126.14052Buch, Anders Skovsted; Rimányi, Richárd 8 2007 Quiver coefficients of Dynkin type. Zbl 1173.14038Buch, Anders Skovsted 8 2008 Stanley symmetric functions and quiver varieties. Zbl 0981.05099Buch, Anders Skovsted 7 2001 Quiver coefficients are Schubert structure constants. Zbl 1112.14055Buch, Anders Skovsted; Sottile, Frank; Yong, Alexander 7 2005 Grothendieck polynomials and quiver formulas. Zbl 1084.14048Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry; Yong, Alexander 7 2005 Quantum cohomology of partial flag manifolds. Zbl 1055.14055Buch, Anders Skovsted 6 2005 Euler characteristics in the quantum \(K\)-theory of flag varieties. Zbl 1445.14075Buch, Anders S.; Chung, Sjuvon; Li, Changzheng; Mihalcea, Leonardo C. 4 2020 On a conjectured formula for quiver varieties. Zbl 0982.05106Buch, Anders Skovsted 4 2001 Rational connectedness implies finiteness of quantum \(K\)-theory. Zbl 1364.14044Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 4 2016 A direct proof of the quantum version of Monk’s formula. Zbl 1012.14018Buch, Anders Skovsted 3 2003 Combinatorial \(K\)-theory. Zbl 1487.14106Buch, Anders Skovsted 3 2005 Frobenius morphisms modulo \(p^ 2\). Zbl 0846.14006Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels; Mehta, Vikram 2 1996 Projected Gromov-Witten varieties in cominuscule spaces. Zbl 1423.14312Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 1 2018 Eigenvalues of Hermitian matrices with positive sum of bounded rank. Zbl 1113.15008Buch, Anders Skovsted 1 2006 Euler characteristics of cominuscule quantum \(K\)-theory. Zbl 1390.14169Buch, Anders S.; Chung, Sjuvon 1 2018 Positivity determines the quantum cohomology of Grassmannians. Zbl 1473.14104Buch, Anders Skovsted; Wang, Chengxi 1 2021 Positivity determines the quantum cohomology of Grassmannians. Zbl 1473.14104Buch, Anders Skovsted; Wang, Chengxi 1 2021 Euler characteristics in the quantum \(K\)-theory of flag varieties. Zbl 1445.14075Buch, Anders S.; Chung, Sjuvon; Li, Changzheng; Mihalcea, Leonardo C. 4 2020 A Chevalley formula for the equivariant quantum \(K\)-theory of cominuscule varieties. Zbl 1420.14125Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 9 2018 Projected Gromov-Witten varieties in cominuscule spaces. Zbl 1423.14312Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 1 2018 Euler characteristics of cominuscule quantum \(K\)-theory. Zbl 1390.14169Buch, Anders S.; Chung, Sjuvon 1 2018 A Giambelli formula for isotropic Grassmannians. Zbl 1360.14125Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 18 2017 \(K\)-theory of minuscule varieties. Zbl 1431.19001Skovsted Buch, Anders; Samuel, Matthew J. 29 2016 The puzzle conjecture for the cohomology of two-step flag manifolds. Zbl 1356.05154Buch, Anders Skovsted; Kresch, Andrew; Purbhoo, Kevin; Tamvakis, Harry 16 2016 Rational connectedness implies finiteness of quantum \(K\)-theory. Zbl 1364.14044Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 4 2016 Curve neighborhoods of Schubert varieties. Zbl 1453.14117Buch, Anders S.; Mihalcea, Leonardo C. 17 2015 A Giambelli formula for even orthogonal Grassmannians. Zbl 1342.14108Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 16 2015 Mutations of puzzles and equivariant cohomology of two-step flag varieties. Zbl 1354.14072Buch, Anders Skovsted 14 2015 Finiteness of cominuscule quantum \(K\)-theory. (Finitude de la \(K\)-théorie quantique cominuscule.) Zbl 1282.14016Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas 10 2013 Pieri rules for the \(K\)-theory of cominuscule Grassmannians. Zbl 1298.14059Buch, Anders Skovsted; Ravikumar, Vijay 16 2012 Quantum Giambelli formulas for isotropic Grassmannians. Zbl 1262.14070Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 15 2012 Quantum \(K\)-theory of Grassmannians. Zbl 1213.14103Buch, Anders S.; Mihalcea, Leonardo C. 21 2011 Quantum Pieri rules for isotropic Grassmannians. Zbl 1193.14071Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 34 2009 Stable Grothendieck polynomials and \(K\)-theoretic factor sequences. Zbl 1157.14036Buch, Anders Skovsted; Kresch, Andrew; Shimozono, Mark; Tamvakis, Harry; Yong, Alexander 36 2008 Quiver coefficients of Dynkin type. Zbl 1173.14038Buch, Anders Skovsted 8 2008 A formula for non-equioriented quiver orbits of type \(A\). Zbl 1126.14052Buch, Anders Skovsted; Rimányi, Richárd 8 2007 Eigenvalues of Hermitian matrices with positive sum of bounded rank. Zbl 1113.15008Buch, Anders Skovsted 1 2006 Alternating signs of quiver coefficients. Zbl 1061.14050Buch, Anders Skovsted 11 2005 Positivity of quiver coefficients through Thom polynomials. Zbl 1076.14075Buch, Anders S.; Fehér, László M.; Rimányi, Richárd 10 2005 Quiver coefficients are Schubert structure constants. Zbl 1112.14055Buch, Anders Skovsted; Sottile, Frank; Yong, Alexander 7 2005 Grothendieck polynomials and quiver formulas. Zbl 1084.14048Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry; Yong, Alexander 7 2005 Quantum cohomology of partial flag manifolds. Zbl 1055.14055Buch, Anders Skovsted 6 2005 Combinatorial \(K\)-theory. Zbl 1487.14106Buch, Anders Skovsted 3 2005 Schubert polynomials and quiver formulas. Zbl 1072.14067Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry; Yong, Alexander 11 2004 Littlewood-Richardson rules for Grassmannians. Zbl 1053.05121Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 9 2004 Specializations of Grothendieck polynomials. Zbl 1051.14062Buch, Anders S.; Rimányi, Richárd 9 2004 Gromov-Witten invariants on Grassmannians. Zbl 1063.53090Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry 45 2003 Quantum cohomology of Grassmannians. Zbl 1050.14053Buch, Anders Skovsted 37 2003 A direct proof of the quantum version of Monk’s formula. Zbl 1012.14018Buch, Anders Skovsted 3 2003 A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians. Zbl 1090.14015Buch, Anders Skovsted 125 2002 Grothendieck classes of quiver varieties. Zbl 1052.14056Buch, Anders Skovsted 28 2002 Stanley symmetric functions and quiver varieties. Zbl 0981.05099Buch, Anders Skovsted 7 2001 On a conjectured formula for quiver varieties. Zbl 0982.05106Buch, Anders Skovsted 4 2001 The saturation conjecture (after A. Knutson and T. Tao). With an appendix by William Fulton. Zbl 0979.20041Skovsted Buch, Anders 34 2000 Chern class formulas for quiver varieties. Zbl 0942.14027Skovsted Buch, Anders; Fulton, William 26 1999 The Frobenius morphism on a toric variety. Zbl 0899.14026Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels; Mehta, Vikram 17 1997 Frobenius morphisms modulo \(p^ 2\). Zbl 0846.14006Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels; Mehta, Vikram 2 1996 all cited Publications top 5 cited Publications all top 5 Cited by 356 Authors 26 Skovsted Buch, Anders 21 Yong, Alexander 18 Pechenik, Oliver 13 Tamvakis, Harry 11 Patrias, Rebecca 10 Morse, Jennifer 10 Rimányi, Richárd 9 Marberg, Eric 9 Matsumura, Tomoo 9 Mihalcea, Leonardo Constantin 8 Li, Changzheng 8 Scrimshaw, Travis 7 Anderson, Dave Edward 7 Kresch, Andrew 7 Yeliussizov, Damir 6 Hudson, Thomas 6 Knutson, Allen 6 Korff, Christian 6 Miller, Ezra 6 Naruse, Hiroshi 5 Coskun, Izzet 5 Fehér, László M. 5 Guo, Peter Long 5 Monical, Cara 5 Motegi, Kohei 5 Pawlowski, Brendan Alexander 5 Perrin, Nicolas 5 Shimozono, Mark 4 Chaput, Pierre-Emmanuel 4 Cho, Soojin 4 Fulton, William 4 Ikeda, Takeshi 4 Karpenko, Nikita Aleksandrovich 4 Lam, Thomas F. 4 Naito, Satoshi 4 Robichaux, Colleen 4 Sagaki, Daisuke 4 Shifler, Ryan M. 4 Weigandt, Anna E. 3 Bärligea, Christoph Mark 3 Bercovici, Hari 3 Fan, Neil J. Y. 3 Hamaker, Zachary 3 Hawkes, Graham 3 Hopkins, Samuel Francis 3 Iwao, Shinsuke 3 King, Ronald C. 3 Kinser, Ryan 3 Lenart, Cristian 3 Moon, Dongho 3 Pan, Jianping 3 Poh, Wencin 3 Pylyavskyy, Pavlo 3 Rajchgot, Jenna Beth 3 Ravikumar, Vijay 3 Richmond, Edward 3 Schilling, Anne 3 Searles, Dominic 3 Sharpe, Eric R. 3 Sottile, Frank 3 Striker, Jessica 3 Zinn-Justin, Paul 2 Achinger, Piotr 2 Adve, Anshul 2 Alekseev, Anton Yur’evich 2 Alexandersson, Per 2 Allman, Justin M. 2 Benedetti, Carolina 2 Benedetti, Vladimiro 2 Bertiger, Anna S. 2 Blasiak, Jonah 2 Brion, Michel 2 Buciumas, Valentin 2 Chan, Melody 2 Cheong, Daewoong 2 Cotti, Giordano 2 Dilks, Kevin 2 Drube, Paul 2 Galashin, Pavel 2 Grinberg, Darij 2 Gu, Wei 2 Guo, Jirui 2 Guzzetti, Davide 2 Hodges, Reuven 2 Ilango, Rahul 2 Jockers, Hans 2 Jung, Eun-Kyoung 2 Keilthy, Adam 2 Kim, Sangjib 2 Kuznetsov, Aleksandr Gennad’evich 2 Lambert, Jordan 2 Lapointe, Luc 2 Leung, Naichung Conan 2 Li, Chi-Kwong 2 Li, Wing Suet 2 López Martín, Alberto 2 Mayr, Peter 2 Mehta, Vikram Bhagvandas 2 Milićević, Elizabeth T. 2 Morales, Alejandro Henry ...and 256 more Authors all top 5 Cited in 92 Serials 29 Advances in Mathematics 24 Journal of Combinatorial Theory. Series A 24 Séminaire Lotharingien de Combinatoire 18 Journal of Algebraic Combinatorics 16 The Electronic Journal of Combinatorics 15 Journal of Algebra 15 Algebraic Combinatorics 11 Duke Mathematical Journal 11 Mathematische Zeitschrift 11 Transactions of the American Mathematical Society 6 Compositio Mathematica 6 Mathematische Annalen 6 Transformation Groups 5 Nuclear Physics. B 5 Journal of Geometry and Physics 5 Proceedings of the American Mathematical Society 5 Journal of Algebraic Geometry 4 Communications in Mathematical Physics 4 Discrete Mathematics 4 Inventiones Mathematicae 4 Journal für die Reine und Angewandte Mathematik 4 Pacific Journal of Mathematics 4 European Journal of Combinatorics 4 Advances in Applied Mathematics 4 Selecta Mathematica. New Series 4 Annals of Combinatorics 4 Journal of High Energy Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Annales de l’Institut Fourier 3 Journal of Pure and Applied Algebra 3 Tôhoku Mathematical Journal. Second Series 3 The Australasian Journal of Combinatorics 3 Involve 3 Combinatorial Theory 2 Communications in Algebra 2 Acta Mathematica 2 Canadian Journal of Mathematics 2 Michigan Mathematical Journal 2 Journal of the American Mathematical Society 2 SIAM Journal on Discrete Mathematics 2 International Journal of Algebra and Computation 2 Bulletin of the American Mathematical Society. New Series 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of the European Mathematical Society (JEMS) 2 Central European Journal of Mathematics 2 Forum of Mathematics, Pi 2 Arnold Mathematical Journal 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Theoretical Computer Science 1 Order 1 Algorithmica 1 Numerical Methods for Partial Differential Equations 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Computational Complexity 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Journal of Lie Theory 1 Documenta Mathematica 1 Geometry & Topology 1 Algebras and Representation Theory 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Moscow Mathematical Journal 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory 1 Journal of \(K\)-Theory 1 Journal of Commutative Algebra 1 Science China. Mathematics 1 Random Matrices: Theory and Applications 1 Forum of Mathematics, Sigma 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Journal de l’École Polytechnique – Mathématiques 1 AIMS Mathematics all top 5 Cited in 32 Fields 269 Algebraic geometry (14-XX) 219 Combinatorics (05-XX) 30 \(K\)-theory (19-XX) 30 Group theory and generalizations (20-XX) 28 Associative rings and algebras (16-XX) 24 Nonassociative rings and algebras (17-XX) 24 Quantum theory (81-XX) 20 Commutative algebra (13-XX) 19 Manifolds and cell complexes (57-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 12 Algebraic topology (55-XX) 11 Differential geometry (53-XX) 10 Topological groups, Lie groups (22-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 6 Category theory; homological algebra (18-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year