What is she best known for?
The fields of study she is best known for:
- Combinatorics
- Algebra
- Discrete mathematics
Her primary areas of study are Combinatorics, Discrete mathematics, Symmetric group, Lexicographical order and Poset topology.
Her study involves Weyl group, Bruhat order, Coxeter complex, Artin group and Coxeter element, a branch of Combinatorics.
Her study on Partially ordered set, Bijection, injection and surjection and Time complexity is often connected to Geometry of binary search trees as part of broader study in Discrete mathematics.
Her Symmetric group study incorporates themes from Unimodality, Cohomology, Hessenberg variety, Conjecture and Chromatic scale.
Her Lexicographical order research integrates issues from Dominance order, Partition lattice, Tamari lattice, Lattice and Mathematical society.
The various areas that she examines in her Poset topology study include Subspace topology, Geometric combinatorics and Graph.
Her most cited work include:
- Shellable nonpure complexes and posets. II (486 citations)
- On lexicographically shellable posets (250 citations)
- Bruhat Order of Coxeter Groups and Shellability (200 citations)
What are the main themes of her work throughout her whole career to date?
Her main research concerns Combinatorics, Discrete mathematics, Homology, Symmetric group and Symmetric function.
Her Partially ordered set, Permutation, Derangement, Major index and Coxeter group study are her primary interests in Combinatorics.
Her research in Discrete mathematics intersects with topics in Statistics and Inversion.
Her Homology research is multidisciplinary, incorporating perspectives in Bounded function, Partition, Graph and Conjecture.
Her work is dedicated to discovering how Symmetric group, Cohomology are connected with Factorization and other disciplines.
Her Symmetric function research incorporates themes from Unimodality, Chromatic scale, Class and Stanley symmetric function.
She most often published in these fields:
- Combinatorics (94.81%)
- Discrete mathematics (38.96%)
- Homology (25.97%)
What were the highlights of her more recent work (between 2015-2021)?
- Combinatorics (94.81%)
- Symmetric function (24.68%)
- Genocchi number (6.49%)
In recent papers she was focusing on the following fields of study:
Her scientific interests lie mostly in Combinatorics, Symmetric function, Genocchi number, Free Lie algebra and Derangement.
Her Combinatorics study frequently draws connections between related disciplines such as Cohomology.
Her Cohomology study combines topics in areas such as Factorization, Partially ordered set, Unimodality and Homology.
Her study in Symmetric function is interdisciplinary in nature, drawing from both Chromatic scale, Interpretation, Class and Basis.
Her Derangement research includes themes of Hyperplane, Combinatorial interpretation and Lattice.
Her research in Multilinear map tackles topics such as Irreducible representation which are related to areas like Discrete mathematics.
Between 2015 and 2021, her most popular works were:
- Chromatic quasisymmetric functions (109 citations)
- On the (co)homology of the poset of weighted partitions (11 citations)
- Gamma-positivity of variations of Eulerian polynomials (11 citations)
In her most recent research, the most cited papers focused on:
- Combinatorics
- Algebra
- Discrete mathematics
Michelle L. Wachs spends much of her time researching Combinatorics, Cohomology, Symmetric function, Partially ordered set and Free Lie algebra.
Michelle L. Wachs frequently studies issues relating to Interpretation and Combinatorics.
Michelle L. Wachs combines subjects such as Class, Binomial coefficient, Polytope and Identity with her study of Interpretation.
Her work deals with themes such as Factorization, Multilinear map and Homology, which intersect with Partially ordered set.
Michelle L. Wachs has included themes like Discrete orthogonal polynomials and Classical orthogonal polynomials in her Difference polynomials study.
Her studies in Symmetric group integrate themes in fields like Basis, Unimodality, Hessenberg variety, Conjecture and Chromatic scale.
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