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Rutgers University

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Rutgers University: Piscataway, NJ, US

Professor (Mathematics)
Employment
Source: Self-asserted source
Anders Buch

Works (43)

A journey from the octonionic $\Bbb P^2$ to a fake $\Bbb P^2$

Proc. Amer. Math. Soc.
2022 | Journal article
DOI: 10.1090/proc/15840
Part of ISSN: 0002-9939
Contributors: Borisov, Lev; Buch, Anders; Fatighenti, Enrico
Source: Self-asserted source
Anders Buch

Positivity determines the quantum cohomology of Grassmannians

Algebra Number Theory
2021 | Journal article
DOI: 10.2140/ant.2021.15.1505
Part of ISSN: 1937-0652
Contributors: Buch, Anders Skovsted; Wang, Chengxi
Source: Self-asserted source
Anders Buch

Euler characteristics in the quantum $K$-theory of flag varieties

Selecta Math. (N.S.)
2020 | Journal article
DOI: 10.1007/s00029-020-00557-7
Part of ISSN: 1022-1824
Contributors: Buch, Anders S.; Chung, Sjuvon; Li, Changzheng and Mihalcea, Leonardo C.
Source: Self-asserted source
Anders Buch

A Chevalley formula for the equivariant quantum $K$-theory of cominuscule varieties

Algebr. Geom.
2018 | Journal article
DOI: 10.14231/ag-2018-015
Part of ISSN: 2313-1691
Contributors: Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas
Source: Self-asserted source
Anders Buch

Euler characteristics of cominuscule quantum $K$-theory

J. Lond. Math. Soc. (2)
2018 | Journal article
DOI: 10.1112/jlms.12101
Part of ISSN: 0024-6107
Contributors: Buch, Anders S.; Chung, Sjuvon
Source: Self-asserted source
Anders Buch

Projected Gromov-Witten varieties in cominuscule spaces

Proc. Amer. Math. Soc.
2018 | Journal article
DOI: 10.1090/proc/13839
Part of ISSN: 0002-9939
Contributors: Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas
Source: Self-asserted source
Anders Buch

A Giambelli formula for isotropic Grassmannians

Selecta Math. (N.S.)
2017 | Journal article
DOI: 10.1007/s00029-016-0250-1
Part of ISSN: 1022-1824
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

$K$-theory of minuscule varieties

J. Reine Angew. Math.
2016 | Journal article
DOI: 10.1515/crelle-2014-0051
Part of ISSN: 0075-4102
Contributors: Buch, Anders Skovsted; Samuel, Matthew J.
Source: Self-asserted source
Anders Buch

Rational connectedness implies finiteness of quantum $K$-theory

Asian J. Math.
2016 | Journal article
DOI: 10.4310/AJM.2016.v20.n1.a5
Part of ISSN: 1093-6106
Contributors: Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas
Source: Self-asserted source
Anders Buch

The puzzle conjecture for the cohomology of two-step flag manifolds

J. Algebraic Combin.
2016 | Journal article
DOI: 10.1007/s10801-016-0697-3
Part of ISSN: 0925-9899
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Purbhoo, Kevin; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

A Giambelli formula for even orthogonal Grassmannians

J. Reine Angew. Math.
2015 | Journal article
DOI: 10.1515/crelle-2013-0071
Part of ISSN: 0075-4102
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

Curve neighborhoods of Schubert varieties

J. Differential Geom.
2015 | Journal article
Part of ISSN: 0022-040X
Contributors: Buch, Anders S.; Mihalcea, Leonardo C.
Source: Self-asserted source
Anders Buch

Mutations of puzzles and equivariant cohomology of two-step flag varieties

Ann. of Math. (2)
2015 | Journal article
DOI: 10.4007/annals.2015.182.1.4
Part of ISSN: 0003-486X
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Finiteness of cominuscule quantum $K$-theory

Ann. Sci. Éc. Norm. Supér. (4)
2013 | Journal article
DOI: 10.24033/asens.2194
Part of ISSN: 0012-9593
Contributors: Buch, Anders S.; Chaput, Pierre-Emmanuel; Mihalcea, Leonardo C.; Perrin, Nicolas
Source: Self-asserted source
Anders Buch

Pieri rules for the $K$-theory of cominuscule Grassmannians

J. Reine Angew. Math.
2012 | Journal article
DOI: 10.1515/crelle.2011.135
Part of ISSN: 0075-4102
Contributors: Buch, Anders Skovsted; Ravikumar, Vijay
Source: Self-asserted source
Anders Buch

Quantum Giambelli formulas for isotropic Grassmannians

Math. Ann.
2012 | Journal article
DOI: 10.1007/s00208-011-0752-2
Part of ISSN: 0025-5831
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

Quantum $K$-theory of Grassmannians

Duke Math. J.
2011 | Journal article
DOI: 10.1215/00127094-2010-218
Part of ISSN: 0012-7094
Contributors: Buch, Anders S.; Mihalcea, Leonardo C.
Source: Self-asserted source
Anders Buch

Quantum Pieri rules for isotropic Grassmannians

Invent. Math.
2009 | Journal article
DOI: 10.1007/s00222-009-0201-y
Part of ISSN: 0020-9910
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

Quiver coefficients of Dynkin type

Michigan Math. J.
2008 | Book chapter
DOI: 10.1307/mmj/1220879399
Part of ISSN: 0026-2285
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Stable Grothendieck polynomials and $K$-theoretic factor sequences

Math. Ann.
2008 | Journal article
DOI: 10.1007/s00208-007-0155-6
Part of ISSN: 0025-5831
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Shimozono, Mark; Tamvakis, Harry; Yong, Alexander
Source: Self-asserted source
Anders Buch

A formula for non-equioriented quiver orbits of type $A$

J. Algebraic Geom.
2007 | Journal article
DOI: 10.1090/S1056-3911-07-00441-9
Part of ISSN: 1056-3911
Contributors: Buch, Anders Skovsted; Rimányi, Richárd
Source: Self-asserted source
Anders Buch

Eigenvalues of Hermitian matrices with positive sum of bounded rank

Linear Algebra Appl.
2006 | Journal article
DOI: 10.1016/j.laa.2006.02.024
Part of ISSN: 0024-3795
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Alternating signs of quiver coefficients

J. Amer. Math. Soc.
2005 | Journal article
DOI: 10.1090/S0894-0347-04-00473-4
Part of ISSN: 0894-0347
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Combinatorial $K$-theory

Topics in cohomological studies of algebraic varieties
2005 | Book chapter
DOI: 10.1007/3-7643-7342-3\_3
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Grothendieck polynomials and quiver formulas

Amer. J. Math.
2005 | Journal article
Part of ISSN: 0002-9327
Contributors: Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry and Yong, Alexander
Source: Self-asserted source
Anders Buch

Positivity of quiver coefficients through Thom polynomials

Adv. Math.
2005 | Journal article
DOI: 10.1016/j.aim.2004.10.019
Part of ISSN: 0001-8708
Contributors: Buch, Anders S.; Fehér, László M.; Rimányi, Richárd
Source: Self-asserted source
Anders Buch

Quantum cohomology of partial flag manifolds

Trans. Amer. Math. Soc.
2005 | Journal article
DOI: 10.1090/S0002-9947-04-03655-4
Part of ISSN: 0002-9947
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Quiver coefficients are Schubert structure constants

Math. Res. Lett.
2005 | Journal article
DOI: 10.4310/MRL.2005.v12.n4.a10
Part of ISSN: 1073-2780
Contributors: Buch, Anders Skovsted; Sottile, Frank; Yong, Alexander
Source: Self-asserted source
Anders Buch

Littlewood-Richardson rules for Grassmannians

Adv. Math.
2004 | Journal article
DOI: 10.1016/S0001-8708(03)00165-8
Part of ISSN: 0001-8708
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

Schubert polynomials and quiver formulas

Duke Math. J.
2004 | Journal article
DOI: 10.1215/S0012-7094-04-12214-6
Part of ISSN: 0012-7094
Contributors: Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry and Yong, Alexander
Source: Self-asserted source
Anders Buch

Specializations of Grothendieck polynomials

C. R. Math. Acad. Sci. Paris
2004 | Journal article
DOI: 10.1016/j.crma.2004.04.015
Part of ISSN: 1631-073X
Contributors: Buch, Anders S.; Rimányi, Richárd
Source: Self-asserted source
Anders Buch

A direct proof of the quantum version of Monk's formula

Proc. Amer. Math. Soc.
2003 | Journal article
DOI: 10.1090/S0002-9939-03-06765-0
Part of ISSN: 0002-9939
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Gromov-Witten invariants on Grassmannians

J. Amer. Math. Soc.
2003 | Journal article
DOI: 10.1090/S0894-0347-03-00429-6
Part of ISSN: 0894-0347
Contributors: Buch, Anders Skovsted; Kresch, Andrew; Tamvakis, Harry
Source: Self-asserted source
Anders Buch

Quantum cohomology of Grassmannians

Compositio Math.
2003 | Journal article
DOI: 10.1023/A:1023908007545
Part of ISSN: 0010-437X
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

A Littlewood-Richardson rule for the $K$-theory of Grassmannians

Acta Math.
2002 | Journal article
DOI: 10.1007/BF02392644
Part of ISSN: 0001-5962
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Grothendieck classes of quiver varieties

Duke Math. J.
2002 | Journal article
DOI: 10.1215/S0012-7094-02-11513-0
Part of ISSN: 0012-7094
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

On a conjectured formula for quiver varieties

J. Algebraic Combin.
2001 | Journal article
DOI: 10.1023/A:1011245531325
Part of ISSN: 0925-9899
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Stanley symmetric functions and quiver varieties

J. Algebra
2001 | Journal article
DOI: 10.1006/jabr.2000.8478
Part of ISSN: 0021-8693
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

The saturation conjecture (after A. Knutson and T. Tao)

Enseign. Math. (2)
2000 | Journal article
Part of ISSN: 0013-8584
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

Chern class formulas for quiver varieties

Invent. Math.
1999 | Journal article
DOI: 10.1007/s002220050297
Part of ISSN: 0020-9910
Contributors: Buch, Anders Skovsted; Fulton, William
Source: Self-asserted source
Anders Buch

Combinatorics of degeneracy loci

1999 | Book
ISBN: 978-0599-44730-1
Contributors: Buch, Anders Skovsted
Source: Self-asserted source
Anders Buch

The Frobenius morphism on a toric variety

Tohoku Math. J. (2)
1997 | Journal article
DOI: 10.2748/tmj/1178225109
Part of ISSN: 0040-8735
Contributors: Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels and Mehta, Vikram
Source: Self-asserted source
Anders Buch

Frobenius morphisms modulo $p^2$

C. R. Acad. Sci. Paris Sér. I Math.
1996 | Journal article
Part of ISSN: 0764-4442
Contributors: Buch, Anders; Thomsen, Jesper F.; Lauritzen, Niels and Mehta, Vikram
Source: Self-asserted source
Anders Buch
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