Works (32)

Updated: July 5th, 2023 15:50

2017 journal article

From the weak Bruhat order to crystal posets

MATHEMATISCHE ZEITSCHRIFT, 286(3-4), 1435โ€“1464.

By: P. Hersh n & C. Lenart*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Crystal graph; Weak Bruhat order; Key map; Stembridge moves; Order complex
Source: Web Of Science
Added: August 6, 2018

2017 journal article

Representation Stability for Cohomology of Configuration Spaces in R-d

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017(5), 1433โ€“1486.

By: P. Hersh n & V. Reiner*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2017 journal article

SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball

JOURNAL OF COMBINATORIAL THEORY SERIES A, 152, 104โ€“120.

By: P. Hersh n & K. Meszaros*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Poset topology; Mobius function; Crosscut complex; Tamari lattice; Weak order
Source: Web Of Science
Added: August 6, 2018

2014 journal article

A lexicographic shellability characterization of geometric lattices

JOURNAL OF COMBINATORIAL THEORY SERIES A, 123(1), 8โ€“13.

By: R. Davidson n & P. Hersh n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Geometric lattice; Mobius function; Shellability; Order complex
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Regular cell complexes in total positivity

INVENTIONES MATHEMATICAE, 197(1), 57โ€“114.

By: P. Hersh n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2014 journal article

The q = -1 phenomenon via homology concentration

Journal of Combinatorics, 5(2), 167โ€“194.

By: P. Hersh n, J. Shareshian* & D. Stanton*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 28, 2019

2013 journal article

Symmetric Chain Decomposition for Cyclic Quotients of Boolean Algebras and Relation to Cyclic Crystals

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013(2), 463โ€“473.

By: P. Hersh n & A. Schillingโ€‰*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Toric cubes

Rendiconti Del Circolo Matematico Di Palermo, 62(1), 67โ€“78.

co-author countries: Finland ๐Ÿ‡ซ๐Ÿ‡ฎ United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Cube; CW complex; Monomial map; Toric variety; Somialgebraic set
Source: Crossref
Added: June 30, 2019

2011 journal article

Sorting orders, subword complexes, Bruhat order and total positivity

ADVANCES IN APPLIED MATHEMATICS, 46(1-4), 46โ€“53.

By: D. Armstrong* & P. Hersh n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Bruhat order; Homotopy type; Quillen Fiber Lemma; Weak order
Source: Web Of Science
Added: August 6, 2018

2010 journal article

Combinatorial constructions of weight bases: The Gelfand-Tsetlin basis

Electronic Journal of Combinatorics, 17(1).

By: P. Hersh & C. Lenart

Source: NC State University Libraries
Added: August 6, 2018

2010 chapter

Maximum likelihood estimation in latent class models for contingency table data

In P. Gibilisco, E. Riccomagno, M. P. Rogantin, & H. P. Wynn (Eds.), Algebraic and Geometric Methods in Statistics (pp. 27โ€“62).

By: S. Fienberg, P. Hersh*, A. Rinaldo & Y. Zhouโ€‰*

co-author countries: United Kingdom of Great Britain and Northern Ireland ๐Ÿ‡ฌ๐Ÿ‡ง Italy ๐Ÿ‡ฎ๐Ÿ‡น

Ed(s): P. Gibilisco, E. Riccomagno, M. Rogantin & H. Wynn

Source: Crossref
Added: June 30, 2019

2009 other

A multiplicative deformation of the Mรถbius function for the poset of partitions of a multiset

By: P. Hersh* & R. Kleinberg

Source: Crossref
Added: June 30, 2019

2009 journal article

Random walks on quasisymmetric functions

Advances in Mathematics, 222(3), 782โ€“808.

By: P. Hersh* & S. Hsiao*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Quasisymmetric function; Descent algebra; Random walk; Markov chain
Source: Crossref
Added: June 30, 2019

2009 journal article

Shelling Coxeter-like complexes and sorting on trees

ADVANCES IN MATHEMATICS, 221(3), 812โ€“829.

By: P. Hersh n

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Shellability; Weak order; Sorting; Coxeter complex; Chessboard complex
Source: Web Of Science
Added: August 6, 2018

2009 journal article

The q=-1 phenomenon for bounded (plane) partitions via homology concentration

Discrete Mathematics and Theoretical Computer Science, 471โ€“484.

By: P. Hersh, J. Shareshian & D. Stanton

Source: NC State University Libraries
Added: July 10, 2019

2007 journal article

Chains of Modular Elements and Lattice Connectivity

Order, 23(4), 339โ€“342.

By: P. Hersh* & J. Shareshian

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2007 journal article

Coloring complexes and arrangements

Journal of Algebraic Combinatorics, 27(2), 205โ€“214.

By: P. Hersh* & E. Swartz*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: convex ear decomposition; chromatic polynomial; coloring complex
Source: Crossref
Added: June 30, 2019

2007 journal article

Combinatorics of multigraded Poincarรฉ series for monomial rings

Journal of Algebra, 308(1), 73โ€“90.

By: A. Berglund*, J. Blasiak* & P. Hersh*

co-author countries: Sweden ๐Ÿ‡ธ๐Ÿ‡ช United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: Poincare series; monomial rings; poset homology; diagonal arrangements
Source: Crossref
Added: June 30, 2019

2005 journal article

Transactions of the American Mathematical Society, 357(02), 509โ€“535.

By: E. Babson* & P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2005 chapter

Grรถbner basis degree bounds on Torโ€ข^K[ฮ›](k, k)โ€ข and discrete Morse theory for posets

In A. Barvinok, M. Beck, C. Haase, B. Reznick, & V. Welker (Eds.), Integer Points in Polyhedra-geometry, number theory, algebra, optimization (pp. 101โ€“138).

By: P. Hersh & V. Welker

Ed(s): A. Barvinok, M. Beck, C. Haase, B. Reznick & V. Welker

Source: NC State University Libraries
Added: August 18, 2019

2005 journal article

On optimizing discrete Morse functions

Advances in Applied Mathematics, 35(3), 294โ€“322.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2004 journal article

A Hodge decomposition for the complex of injective words

Pacific Journal of Mathematics, 214(1), 109โ€“125.

By: P. Hanlon & P. Hersh*

Source: Crossref
Added: June 30, 2019

2004 journal article

Connectivity of h-complexes

Journal of Combinatorial Theory, Series A, 105(1), 111โ€“126.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: discrete morse function; h-vector; Charney-Davis quantity
Source: Crossref
Added: June 30, 2019

2003 journal article

A partitioning and related properties for the quotient complex ฮ”(Blm)/Slโ‰€Sm

Journal of Pure and Applied Algebra, 178(3), 255โ€“272.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2003 journal article

Chain decomposition and the flag f-vector

Journal of Combinatorial Theory, Series A, 103(1), 27โ€“52.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2003 journal article

Lexicographic Shellability for Balanced Complexes

Journal of Algebraic Combinatorics, 17(3), 225โ€“254.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
author keywords: shellability; Boolean cell complex; simplicial poset; partition lattice; wreath product
Source: Crossref
Added: July 10, 2019

2003 journal article

Multiplicity of the trivial representation inย rank-selected homology of the partition lattice

Journal of Algebra, 266(2), 521โ€“538.

By: P. Hanlon* & P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019

2002 journal article

A Short Simplicial h -Vector and the Upper Bound Theorem

Discrete & Computational Geometry, 28(3), 283โ€“289.

By: P. Hersh* & I. Novik

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: July 28, 2019

2002 journal article

Two Generalizations of Posets of Shuffles

Journal of Combinatorial Theory, Series A, 97(1), 1โ€“26.

By: P. Hersh*

Source: Crossref
Added: June 30, 2019

1999 thesis

Decomposition and Enumeration in Partially Ordered Sets

(Ph.D. thesis). Massachusetts Institute of Technology.

By: P. Hersh

Source: NC State University Libraries
Added: July 10, 2019

1999 journal article

Deformation of chains via a local symmetric group action

The Electronic Journal of Combinatorics, R27.

By: P. Hersh

Source: NC State University Libraries
Added: July 28, 2019

1999 journal article

On exact n-step domination

Discrete Mathematics, 205(1-3), 235โ€“239.

By: P. Hersh*

co-author countries: United States of America ๐Ÿ‡บ๐Ÿ‡ธ
Source: Crossref
Added: June 30, 2019