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Mathematics

D-Index
32
Citations
4751
World Ranking
3173
National Ranking
1270

Overview

Michelle L. Wachs is affiliated with the University of Miami in the United States. Their research primarily focuses on mathematics, with specific contributions in algebra and number theory, discrete mathematics and combinatorics, geometry and topology, mathematical physics, and artificial intelligence.

The scientist has published extensively in various venues, with frequent publications appearing in:

  • arXiv (Cornell University)
  • Combinatorial Theory
  • Advances in Mathematics
  • The Electronic Journal of Combinatorics
  • Journal of Combinatorics

Key recent papers authored or coauthored by Michelle L. Wachs include:

  • "The homogenized Linial arrangement and Genocchi numbers," 2022, Combinatorial Theory
  • "On a generalization of Lie(k): A CataLAnKe theorem," 2021, Advances in Mathematics
  • "A New Presentation for Specht Modules with Distinct Parts," 2024, The Electronic Journal of Combinatorics
  • "On an n-ary generalization of the Lie representation and tree Specht modules," 2024, arXiv (Cornell University)
  • "On enumerators of Smirnov words by descents and cyclic descents," 2020, Journal of Combinatorics

Frequent collaborators include Tamar Friedmann, Phil Hanlon, Alexander Lazar, Richard P. Stanley, and Philip J. Hanlon. The collaborations with Tamar Friedmann are particularly prominent, with multiple coauthored papers.

The scientist's main fields of study comprise:

  • Mathematics

Within the subfields, Michelle L. Wachs has worked on:

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Geometry and Topology
  • Mathematical Physics
  • Artificial Intelligence

Their research covers main topics such as:

  • Advanced Topics in Algebra
  • Algebraic structures and combinatorial models
  • Advanced Algebra and Geometry
  • Advanced Combinatorial Mathematics
  • Advanced Mathematical Identities
  • Bayesian Methods and Mixture Models
  • Finite Group Theory Research

Best Publications

  • Shellable nonpure complexes and posets. II

    Anders Björner;Michelle L. Wachs

  • On lexicographically shellable posets

    Anders Björner;Michelle Wachs

  • Bruhat Order of Coxeter Groups and Shellability

    Anders Björner;Michelle Wachs

  • Poset Topology: Tools and Applications

    Michelle L. Wachs

  • p,q -Stirling numbers and set partition statistics

    Michelle Wachs;Dennis White

  • Chromatic quasisymmetric functions

    John Shareshian;Michelle L. Wachs

  • Permutation statistics and linear extensions of posets

    Anders Bjorner;Michelle L. Wachs

  • On lie k-algebras

    Unknown

  • Generalized quotients in Coxeter groups

    Anders Björner;Anders Björner;Michelle L. Wachs

  • Flagged Schur Functions, Schubert Polynomials, and Symmetrizing Operators

    Michelle L Wachs

  • A New Algorithm for Minimum Cost Binary Trees

    Adriano M. Garsia;Michelle L. Wachs

  • q -Hook length formulas for forests

    A. Björner;M. L. Wachs

  • Chromatic quasisymmetric functions and Hessenberg varieties

    John Shareshian;Michelle L. Wachs

  • On geometric semilattices

    Michelle L. Wachs;James W. Walker

  • q-EULERIAN POLYNOMIALS: EXCEDANCE NUMBER AND MAJOR INDEX

    John Shareshian;Michelle L. Wachs

  • Eulerian quasisymmetric functions

    John Shareshian;Michelle L. Wachs

  • TOPOLOGY OF MATCHING, CHESSBOARD, AND GENERAL BOUNDED DEGREE GRAPH COMPLEXES

    Michelle L. Wachs

  • On $q$-derangement numbers

    Michelle L. Wachs

  • On sequentially Cohen-Macaulay complexes and posets

    Anders Björner;Michelle Wachs;Volkmar Welker

  • Poset fiber theorems

    Anders Björner;Michelle L. Wachs;Volkmar Welker

  • An involution for signed Eulerian numbers

    Michelle L. Wachs

Frequent Co-Authors

Anders Björner
Anders Björner Royal Institute of Technology
Bruce E. Sagan
Bruce E. Sagan Michigan State University
Victor Reiner
Victor Reiner University of Minnesota
Jeffrey B. Remmel
Jeffrey B. Remmel University of California, San Diego
Adriano M. Garsia
Adriano M. Garsia University of California, San Diego

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