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Algebraic combinatorics
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51	Recent advances in symmetric functions and tableaux combinatorics Sara Billey University of Washington http://www.math.washington.edu/∼billey Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2012-03-01 18:45:55 Polynomials Algebraic combinatorics Homogeneous polynomials Symmetric functions Invariant theory Quasisymmetric function Ring of symmetric functions Complete homogeneous symmetric polynomial Symmetric matrix Algebra Abstract algebra Mathematics
52	¨ GROBNER GEOMETRY OF VERTEX DECOMPOSITIONS AND OF FLAGGED TABLEAUX ALLEN KNUTSON, EZRA MILLER, AND ALEXANDER YONG A BSTRACT. We relate a classic algebro-geometric degeneration technique, dating Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2005-05-13 15:18:00 Geometric group theory Algebraic combinatorics Group theory Matrix theory Building Matrix Littelmann path model Algebra Abstract algebra Mathematics
53	Curriculum Vitae EZRA MILLER Oﬃce Address: Duke University Mathematics Department Oﬃce Phone: (–2846 Add to Reading List Source URL: math.duke.edu Language: English - Date: 2015-02-25 22:38:56 Algebraic combinatorics Algebraic geometry Commutative algebra Polynomials Combinatorial commutative algebra Combinatorics N! conjecture Kazhdan–Lusztig polynomial Graduate Texts in Mathematics Abstract algebra Mathematics Algebra
54	An Introduction to the Combinatorics and Geometry of Schubert Varieties Sara Billey University of Washington http://www.math.washington.edu/∼billey Nebraska Conference for Undergraduate Women in Mathematics Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2012-01-28 01:21:17 Linear algebra Algebraic geometry Projective geometry Differential geometry Abstract algebra Grassmannian Generalized flag variety Vector space Schubert variety Algebra Geometry Mathematics
55	Consequences of the Lakshmibai-Sandhya Theorem Sara Billey University of Washington http://www.math.washington.edu/∼billey Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2011-09-21 19:17:10 Algebraic combinatorics Representation theory of Lie algebras Combinatorics Algebraic geometry Bruhat order Kazhdan–Lusztig polynomial Permutation pattern Schubert variety Permutation Algebra Abstract algebra Mathematics
56	RECIPROCAL DOMAINS AND COHEN–MACAULAY d-COMPLEXES IN Rd EZRA MILLER AND VICTOR REINER Dedicated to Richard P. Stanley on the occasion of his 60th birthday Abstract. We extend a reciprocity theorem of Stanley about enum Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2004-04-13 13:31:40 Mathematics Algebraic combinatorics Combinatorial commutative algebra Cohen–Macaulay ring Graduate Texts in Mathematics Bernd Sturmfels Stanley–Reisner ring Commutative algebra Algebra Algebraic geometry
57	FOUR POSITIVE FORMULAE FOR TYPE A QUIVER POLYNOMIALS ALLEN KNUTSON, EZRA MILLER, AND MARK SHIMOZONO Abstract. We give four positive formulae for the (equioriented type A) quiver polynomials of Buch and Fulton [BF99]. All Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2006-03-25 02:32:55 Symmetric functions Algebraic geometry Algebraic combinatorics Representation theory Young tableau Schubert variety Schubert polynomial Schur polynomial Homogeneous polynomial Abstract algebra Algebra Mathematics
58	Patterns in permutations and diagrams with applications to Stanley symmetric functions and Schubert calculus Sara Billey University of Washington http://www.math.washington.edu/∼billey Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2013-02-11 11:15:29 Polynomials Algebraic combinatorics Symmetric functions Quasisymmetric function Ring theory Ring of symmetric functions Quasisymmetric Complete homogeneous symmetric polynomial Symmetric matrix Abstract algebra Algebra Mathematics
59	Reciprocal domains and Cohen–Macaulay d-complexes in Rd Ezra Miller∗ and Victor Reiner∗ School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA , Submitted: S Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2004-12-09 18:26:55 Commutative algebra Algebraic geometry Algebraic combinatorics Algebraic topology Topological spaces Cohen–Macaulay ring Stanley–Reisner ring Combinatorial commutative algebra Simplicial complex Abstract algebra Mathematics Algebra
60	THE CONTRIBUTIONS OF STANLEY TO THE FABRIC OF SYMMETRIC AND QUASISYMMETRIC FUNCTIONS SARA C. BILLEY AND PETER R. W. MCNAMARA Dedicated to Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2015-05-13 15:29:12 Symmetric functions Polynomials Algebraic combinatorics Invariant theory Representation theory Quasisymmetric function Schubert polynomial Ring of symmetric functions Stanley symmetric function Abstract algebra Algebra Mathematics