Michelle L. Wachs | Academic Influence

Michelle L. Wachs's AcademicInfluence.com Rankings

Michelle L. Wachs

Mathematics

#4506

World Rank

#6387

Historical Rank

#1544

USA Rank

Measure Theory

#3304

World Rank

#3905

Historical Rank

#954

USA Rank

mathematics Degrees

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Mathematics

Michelle L. Wachs's Degrees

PhD Mathematics University of California, Berkeley

Why Is Michelle L. Wachs Influential?

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According to Wikipedia, Michelle Lynn Wachs is an American mathematician who specializes in algebraic combinatorics and works as a professor of mathematics at the University of Miami. Contributions Wachs and her advisor Adriano Garsia are the namesakes of the Garsia–Wachs algorithm for optimal binary search trees, which they published in 1977. She is also known for her research on shellings for simplicial complexes, partially ordered sets, and Coxeter groups, and on random permutation statistics and set partition statistics.

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Michelle L. Wachs's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Shellable nonpure complexes and posets. II (1996) (436)
SHELLABLE NONPURE COMPLEXES AND POSETS. I (1996) (421)
On lexicographically shellable posets (1983) (279)
Poset Topology: Tools and Applications (2006) (255)
Bruhat Order of Coxeter Groups and Shellability (1982) (195)
p, q-Stirling numbers and set partition statistics (1990) (186)
Chromatic quasisymmetric functions (2014) (162)
On lie k-algebras (1995) (143)
Permutation statistics and linear extensions of posets (1991) (129)
Generalized quotients in Coxeter groups (1988) (115)
Flagged Schur Functions, Schubert Polynomials, and Symmetrizing Operators (1985) (107)
A New Algorithm for Minimum Cost Binary Trees (1977) (95)
Eulerian quasisymmetric functions (2008) (87)
q-Hook length formulas for forests (1989) (70)
Chromatic quasisymmetric functions and Hessenberg varieties (2011) (70)
Q-Eulerian polynomials: Excedance number and major index (2006) (65)
Poset fiber theorems (2004) (65)
On geometric semilattices (1985) (64)
Topology of matching, chessboard, and general bounded degree graph complexes (2003) (63)
On $q$-derangement numbers (1989) (58)
Torsion in the matching complex and chessboard complex (2004) (56)
Rook Theory, Generalized Stirling Numbers and (p, q)-Analogues (2004) (54)
On sequentially Cohen-Macaulay complexes and posets (2007) (52)
An involution for signed Eulerian numbers (1992) (48)
A Basis for the Homology of thed-Divisible Partition Lattice (1996) (47)
On the (co)homology of the partition lattice and the free Lie algebra (1998) (42)
Combinatorial Laplacian of the Matching Complex (2002) (40)
The homology representations of the k-equal partition lattice (1997) (38)
Whitney Homology of Semipure Shellable Posets (1999) (36)
Descent Classes of Permutations with a Given Number of Fixed Points (1993) (35)
Obstructions to Shellability (1997) (34)
Rees products and lexicographic shellability (2012) (28)
Poset Homology of Rees Products, and q-Eulerian Polynomials (2008) (26)
Cohomology of Dowling Lattices and Lie (Super)Algebras (2000) (26)
sigma - Restricted Growth Functions and p, q-Stirling Numbers (1994) (26)
Eulerian quasisymmetric functions and cyclic sieving (2009) (23)
Gamma-positivity of variations of Eulerian polynomials (2017) (20)
Matching Complexes, Bounded Degree Graph Complexes, and Weight Spaces of GLn-Complexes (2001) (19)
Combinatorial aspects of skew representations of the symmetric group (1989) (19)
On the (co)homology of the poset of weighted partitions (2013) (17)
Geometrically Constructed Bases for Homology of Partition Lattices of Types A, B and D (2004) (14)
A shellable poset that is not lexicographically shellable (1985) (14)
On an Efficient Dynamic Programming Technique of F. F. Yao (1989) (12)
Binary Search on a Tape (1987) (11)
The homogenized Linial arrangement and Genocchi numbers (2019) (10)
Mahonian statistics on labeled forests (1992) (10)
Top homology of hypergraph matching complexes, p-cycle complexes and Quillen complexes of symmetric groups (2008) (10)
From Poset Topology to $q$-Eulerian Polynomials to Stanley's Chromatic Symmetric Functions (2015) (7)
On the Homogenized Linial Arrangement: Intersection Lattice and Genocchi Numbers. (2018) (6)
Unimodality of Eulerian quasisymmetric functions (2011) (6)
On the Property M Conjecture for the Heisenberg Lie Algebra (2002) (6)
The major index polynomial for conjugacy classes of permutations (1991) (5)
On a generalization of Lie(k): A CataLAnKe theorem (2017) (3)
Quotients of Coxeter Complexes and Buildings with Linear Diagram (1986) (3)
On enumerators of Smirnov words by descents and cyclic descents (2019) (2)
Eulerian quasisymmetric functions and poset topology (2008) (2)
A THESIS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Nathan Paul Reading IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY (2)
Action of the symmetric group on the free LAnKe: A CataLAnKe theorem (2018) (2)
Towers of powers and bruhat order (1992) (1)
ON ^-DERANGEMENT NUMBERS (2010) (1)
Weighted partitions (2020) (0)
Ju n 20 18 GAMMA-POSITIVITY OF VARIATIONS OF EULERIAN POLYNOMIALS (2017) (0)
C O / 0 70 27 88 v 1 26 F eb 2 00 7 ON SEQUENTIALLY COHEN-MACAULAY COMPLEXES AND POSETS (2007) (0)
A SHELLABLE P OSET T HAT IS NOT LEXICOGRAPHICALL Y S HELLABLE (1985) (0)
HOMOLOGY OF MATCHING AND CHESSBOARD COMPLEXES (2001) (0)
A ug 2 01 0 EULERIAN QUASISYMMETRIC FUNCTIONS (0)
MATCHING COMPLEXES , BOUNDED DEGREEGRAPH COMPLEXES AND WEIGHT SPACES (1999) (0)
Minimum cost partitions of a rectangle (1981) (0)
Transactions of the American Mathematical Society on Lexicographically Shellable Posets (2009) (0)
C O ] 2 6 Fe b 20 07 ON SEQUENTIALLY COHEN-MACAULAY COMPLEXES AND POSETS (2007) (0)
C O ] 6 J ul 2 01 2 CHROMATIC QUASISYMMETRIC FUNCTIONS AND HESSENBERG VARIETIES (2012) (0)
TOPOLOGY OF MATCHING , CHESSBOARD , AND (2002) (0)

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