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The Mathematical Legacy of Richard P. Stanley
About this Title
Patricia Hersh, North Carolina State University, Raleigh, NC, Thomas Lam, University of Michigan, Ann Arbor, MI, Pavlo Pylyavskyy, University of Minnesota, Minneapolis, MN and Victor Reiner, University of Minnesota, Minneapolis, MN, Editors
Publication: AMS Non-Series Monographs
Publication Year:
2016; Volume 100
ISBNs: 978-1-4704-2724-5 (print); 978-1-4704-3477-9 (online)
DOI: https://doi.org/10.1090/mbk/100
ReadershipTable of Contents
Front/Back Matter
Articles
- Richard P. Stanley – Publications
- Christos A. Athanasiadis – A survey of subdivisions and local $h$-vectors
- Matthias Beck – Stanley’s major contributions to Ehrhart theory
- Louis J. Billera – “Even more intriguing, if rather less plausible...” Face numbers of convex polytopes
- Sara C. Billey and Peter R. W. McNamara – The contributions of Stanley to the fabric of symmetric and quasisymmetric functions
- Anders Björner – “Let $\Delta $ be a Cohen-Macaulay complex $\ldots $”
- Francesco Brenti – Stanley’s work on unimodality
- Persi Diaconis – Five stories for Richard
- Adriano Garsia, Jim Haglund, Guoce Xin and Mike Zabrocki – Some new applications of the Stanley-Macdonald Pieri rules
- Ira M. Gessel – A historical survey of $P$-partitions
- I. P. Goulden and D. M. Jackson – Transitive factorizations of permutations and geometry
- Takayuki Hibi – Stanley’s influence on monomial ideals
- Melvin Hochster – Cohen-Macaulay varieties, geometric complexes, and combinatorics
- C. Krattenthaler – Plane partitions in the work of Richard Stanley and his school
- Cristian Lenart – Combinatorial representation theory of Lie algebras. Richard Stanley’s work and the way it was continued
- James Propp – Lessons I learned from Richard Stanley
- Anne Schilling – Richard Stanley through a crystal lens and from a random angle
- John Shareshian and Michelle L. Wachs – From poset topology to $q$-Eulerian polynomials to Stanley’s chromatic symmetric functions
- Piotr Śniady – Stanley character polynomials
- Sheila Sundaram – Some problems arising from partition poset homology