Patricia Hersh

Hersh, P., & Lenart, C. (2017). From the weak Bruhat order to crystal posets. MATHEMATISCHE ZEITSCHRIFT, 286(3-4), 1435–1464. https://doi.org/10.1007/s00209-016-1808-5

Hersh, P., & Reiner, V. (2017). Representation Stability for Cohomology of Configuration Spaces in R-d. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2017(5), 1433–1486. https://doi.org/10.1093/imrn/rnw060

Hersh, P., & Meszaros, K. (2017). SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball. JOURNAL OF COMBINATORIAL THEORY SERIES A, 152, 104–120. https://doi.org/10.1016/j.jcta.2017.06.001

Davidson, R., & Hersh, P. (2014). A lexicographic shellability characterization of geometric lattices. JOURNAL OF COMBINATORIAL THEORY SERIES A, 123(1), 8–13. https://doi.org/10.1016/j.jcta.2013.11.001

Hersh, P. (2014). Regular cell complexes in total positivity. INVENTIONES MATHEMATICAE, 197(1), 57–114. https://doi.org/10.1007/s00222-013-0480-1

Hersh, P., Shareshian, J., & Stanton, D. (2014). The q = -1 phenomenon via homology concentration. Journal of Combinatorics, 5(2), 167–194. https://doi.org/10.4310/joc.2014.v5.n2.a2

Hersh, P., & Schilling, A. (2013). Symmetric Chain Decomposition for Cyclic Quotients of Boolean Algebras and Relation to Cyclic Crystals. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013(2), 463–473. https://doi.org/10.1093/imrn/rnr254

Engström, A., Hersh, P., & Sturmfels, B. (2013). Toric cubes. Rendiconti Del Circolo Matematico Di Palermo, 62(1), 67–78. https://doi.org/10.1007/s12215-013-0115-9

Armstrong, D., & Hersh, P. (2011). Sorting orders, subword complexes, Bruhat order and total positivity. ADVANCES IN APPLIED MATHEMATICS, 46(1-4), 46–53. https://doi.org/10.1016/j.aam.2010.09.006

Hersh, P., & Lenart, C. (2010). Combinatorial constructions of weight bases: The Gelfand-Tsetlin basis. Electronic Journal of Combinatorics, 17(1).

Fienberg, S. E., Hersh, P., Rinaldo, A., & Zhou, Y. (2010). 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. 27–62). https://doi.org/10.1017/cbo9780511642401.003

Hersh, P., & Kleinberg, R. (2009). A multiplicative deformation of the Möbius function for the poset of partitions of a multiset. https://doi.org/10.1090/conm/479/09346

Hersh, P., & Hsiao, S. K. (2009). Random walks on quasisymmetric functions. Advances in Mathematics, 222(3), 782–808. https://doi.org/10.1016/j.aim.2009.05.014

Hersh, P. (2009). Shelling Coxeter-like complexes and sorting on trees. ADVANCES IN MATHEMATICS, 221(3), 812–829. https://doi.org/10.1016/j.aim.2009.01.007

Hersh, P., Shareshian, J., & Stanton, D. (2009). The q=-1 phenomenon for bounded (plane) partitions via homology concentration. Discrete Mathematics and Theoretical Computer Science, 471–484.

Hersh, P., & Shareshian, J. (2007). Chains of Modular Elements and Lattice Connectivity. Order, 23(4), 339–342. https://doi.org/10.1007/s11083-006-9053-x

Hersh, P., & Swartz, E. (2007). Coloring complexes and arrangements. Journal of Algebraic Combinatorics, 27(2), 205–214. https://doi.org/10.1007/s10801-007-0086-z

Berglund, A., Blasiak, J., & Hersh, P. (2007). Combinatorics of multigraded Poincaré series for monomial rings. Journal of Algebra, 308(1), 73–90. https://doi.org/10.1016/j.jalgebra.2006.08.020

Babson, E., & Hersh, P. (2005). Transactions of the American Mathematical Society, 357(02), 509–535. https://doi.org/10.1090/s0002-9947-04-03495-6

Hersh, P., & Welker, V. (2005). Gröbner basis degree bounds on Tor•^K[Λ](k, k)• 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. 101–138). https://doi.org/10.1090/conm/374/06902

Hersh, P. (2005). On optimizing discrete Morse functions. Advances in Applied Mathematics, 35(3), 294–322. https://doi.org/10.1016/j.aam.2005.04.001

Hanlon, P., & Hersh, P. (2004). A Hodge decomposition for the complex of injective words. Pacific Journal of Mathematics, 214(1), 109–125. https://doi.org/10.2140/pjm.2004.214.109

Hersh, P. (2004). Connectivity of h-complexes. Journal of Combinatorial Theory, Series A, 105(1), 111–126. https://doi.org/10.1016/j.jcta.2003.10.006

Hersh, P. (2003). A partitioning and related properties for the quotient complex Δ(Blm)/Sl≀Sm. Journal of Pure and Applied Algebra, 178(3), 255–272. https://doi.org/10.1016/s0022-4049(02)00192-5

Hersh, P. (2003). Chain decomposition and the flag f-vector. Journal of Combinatorial Theory, Series A, 103(1), 27–52. https://doi.org/10.1016/s0097-3165(03)00066-9

Hersh, P. (2003). Lexicographic Shellability for Balanced Complexes. Journal of Algebraic Combinatorics, 17(3), 225–254. https://doi.org/10.1023/a:1025044720847

Hanlon, P., & Hersh, P. (2003). Multiplicity of the trivial representation in rank-selected homology of the partition lattice. Journal of Algebra, 266(2), 521–538. https://doi.org/10.1016/s0021-8693(03)00372-7

Hersh, P., & Novik, I. (2002). A Short Simplicial h -Vector and the Upper Bound Theorem. Discrete & Computational Geometry, 28(3), 283–289. https://doi.org/10.1007/s00454-002-0746-7

Hersh, P. (2002). Two Generalizations of Posets of Shuffles. Journal of Combinatorial Theory, Series A, 97(1), 1–26. https://doi.org/10.1006/jcta.2001.3187

Hersh, P. (1999). Decomposition and Enumeration in Partially Ordered Sets (Ph.D. thesis). Massachusetts Institute of Technology.

Hersh, P. (1999). Deformation of chains via a local symmetric group action. The Electronic Journal of Combinatorics, R27.

Hersh, P. (1999). On exact n-step domination. Discrete Mathematics, 205(1-3), 235–239. https://doi.org/10.1016/s0012-365x(99)00024-2