MSC: Primary 05; 06; 13; 52;
Print ISBN: 978-1-4704-2724-5
Product Code: MBK/100
List Price: $59.00
AMS Member Price: $47.20
MAA Member Price: $53.10
Electronic ISBN: 978-1-4704-3477-9
Product Code: MBK/100.E
List Price: $59.00
AMS Member Price: $47.20
MAA Member Price: $53.10
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The Mathematical Legacy of Richard P. Stanley
Share this pageEdited by Patricia Hersh; Thomas Lam; Pavlo Pylyavskyy; Victor Reiner
Richard Stanley's work in combinatorics revolutionized and reshaped
the subject. His lectures, papers, and books inspired a generation of
researchers. In this volume, these researchers explain how Stanley's
vision and insights influenced and guided their own perspectives on
the subject. As a valuable bonus, this book contains a collection of
Stanley's short comments on each of his papers.
This book may serve as an introduction to several different threads
of ongoing research in combinatorics as well as giving historical
perspective.
Readership
Graduate students and researchers interested in combinatorics.
Table of Contents
The Mathematical Legacy of Richard P. Stanley
- Cover Cover11
- Title page iii4
- Frontispiece 16
- Contents vii8
- Preface ix10
- Richard Stanley’s short curriculum vitae xi12
- Publications 116
- A survey of subdivisions and local ℎ-vectors 3954
- Stanley’s major contributions to Ehrhart theory 5368
- “Even more intriguing, if rather less plausible...” Face numbers of convex polytopes 6580
- The contributions of Stanley to the fabric of symmetric and quasisymmetric functions 8398
- “Let Δ be a Cohen-Macaulay complex …” 105120
- Stanley’s work on unimodality 119134
- Five stories for Richard 131146
- Some new applications of the Stanley-Macdonald Pieri rules 141156
- A historical survey of 𝑃-partitions 169184
- Transitive factorizations of permutations and geometry 189204
- Stanley’s influence on monomial ideals 203218
- Cohen-Macaulay varieties, geometric complexes, and combinatorics 219234
- Plane partitions in the work of Richard Stanley and his school 231246
- Combinatorial representation theory of Lie algebras. Richard Stanley’s work and the way it was continued 263278
- Lessons I learned from Richard Stanley 279294
- Richard Stanley through a crystal lens and from a random angle 287302
- From poset topology to 𝑞-Eulerian polynomials to Stanley’s chromatic symmetric functions 301316
- Stanley character polynomials 323338
- Some problems arising from partition poset homology 335350
- Back Cover Back Cover1369