Mathematical Legacy of Richard P. Stanley

Patricia Hersh, North Carolina State University, Raleigh, NC, USA.Thomas Lam, University of Michigan, Ann Arbor, MI, USA.Pavlo Pylyavskyy, University of Michigan, Ann Arbor, MI, USA.Victor Reiner, University of Minnesota, Minneapolis, MN, USA.

• R. P. Stanley, PublicationsC. A. Athanasiadis, A survey of subdivisions and local $h$-vectorsM. Beck, Stanley's major contributions to Ehrhart theoryL. J. Billera, ``Even more intriguing, if rather less plausible...'' Face numbers of convex polytopesS. C. Billey and P. R. W. McNamara, The contributions of Stanley to the fabric of symmetric and quasisymmetric functionsA. Bjorner, ``Let $\Delta$ be a Cohen-Macaulay complex $\ldots$''F. Brenti, Stanley's work on unimodalityP. Diaconis, Five stories for RichardA. Garsia, J. Haglund, G. Xin, and M. Zabrocki, Some new applications of the Stanley-Macdonald Pieri rulesI. M. Gessel, A historical survey of $P$-partitionsI. P. Goulden and D. M. Jackson, Transitive factorizations of permutations and geometryT. Hibi, Stanley's influence on monomial idealsM. Hochster, Cohen-Macaulay varieties, geometric complexes, and combinatoricsC. Krattenthaler, Plane partitions in the work of Richard Stanley and his schoolC. Lenart, Combinatorial representation theory of Lie algebras. Richard Stanley's work and the way it was continuedJ. Propp, Lessons I learned from Richard StanleyA, Schilling, Richard Stanley through a crystal lens and from a random angleJ. Shareshian and M. L. Wachs, From poset topology to $q$-Eulerian polynomials to Stanley's chromatic symmetric functionsP. Sniady, Stanley character polynomialsS. Sundaram, Some problems arising from partition poset homology.