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Additive Number Theory and Inequalities in Ehrhart Theory

International mathematics research notices, 2016-01, Vol.2016 (5), p.1497-1540

Stapledon, Alan

2016

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Local h-polynomials, invariants of subdivisions, and mixed Ehrhart theory

Advances in mathematics (New York. 1965), 2016-01, Vol.286, p.181-239

2016

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Schubert varieties are log Fano over the integers

Proceedings of the American Mathematical Society, 2014-02, Vol.142 (2), p.409-411

2014

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Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces

Research in the mathematical sciences, 2016-06, Vol.3 (1), Article 10

2016

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On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series

Mathematische Zeitschrift, 2010-01, Vol.264 (1), p.195-207

2010

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Counting lattice points in free sums of polytopes

Journal of combinatorial theory. Series A, 2017-10, Vol.151, p.51-60

Stapledon, Alan

2017

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Equivariant Ehrhart theory

Advances in mathematics (New York. 1965), 2011-03, Vol.226 (4), p.3622-3654

Stapledon, Alan

2011

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Formulas for monodromy

Research in the mathematical sciences, 2017-04, Vol.4 (1), p.1-42, Article 8

Stapledon, Alan

2017

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New Calabi–Yau orbifolds with mirror Hodge diamonds

Advances in mathematics (New York. 1965), 2012-07, Vol.230 (4-6), p.1557-1596

Stapledon, Alan

2012

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Resolutions of local face modules, functoriality, and vanishing of local h -vectors

Algebraic combinatorics, 2023-08, Vol.6 (4), p.1057-1072

2023

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Representations on the cohomology of hypersurfaces and mirror symmetry

Advances in mathematics (New York. 1965), 2011-04, Vol.226 (6), p.5268-5297

Stapledon, Alan

2011

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Tropical geometry and the motivic nearby fiber

Compositio mathematica, 2012-01, Vol.148 (1), p.269-294

2012

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Arc Spaces and Equivariant Cohomology

Transformation groups, 2013-12, Vol.18 (4), p.931-969

2013

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Triangulations of simplices with vanishing local h -polynomial

Algebraic combinatorics, 2020-12, Vol.3 (6), p.1417-1430

2020

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EHRHART THEORY FOR LAWRENCE POLYTOPES AND ORBIFOLD COHOMOLOGY OF HYPERTORIC VARIETIES

Proceedings of the American Mathematical Society, 2009-12, Vol.137 (12), p.4243-4253

STAPLEDON, ALAN

2009

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The geometry and combinatorics of Ehrhart δ-vectors

Stapledon, Alan Michael

2009

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Additive Number Theory and Inequalities in Ehrhart Theory

Local h-polynomials, invariants of subdivisions, and mixed Ehrhart theory

Schubert varieties are log Fano over the integers

Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces

On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series

Counting lattice points in free sums of polytopes

Equivariant Ehrhart theory

Formulas for monodromy

New Calabi–Yau orbifolds with mirror Hodge diamonds

Resolutions of local face modules, functoriality, and vanishing of local h -vectors

Representations on the cohomology of hypersurfaces and mirror symmetry

Tropical geometry and the motivic nearby fiber

Arc Spaces and Equivariant Cohomology

Triangulations of simplices with vanishing local h -polynomial

EHRHART THEORY FOR LAWRENCE POLYTOPES AND ORBIFOLD COHOMOLOGY OF HYPERTORIC VARIETIES

The geometry and combinatorics of Ehrhart δ-vectors

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