Richard Ehrenborg

Richard Ehrenborg's AcademicInfluence.com Rankings

Richard Ehrenborg

Mathematics

#7076

World Rank

#9694

Historical Rank

Combinatorics

#86

World Rank

#93

Historical Rank

Measure Theory

#3666

World Rank

#4326

Historical Rank

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Mathematics

Richard Ehrenborg's Degrees

PhD Mathematics Uppsala University
Masters Mathematics Uppsala University
Bachelors Mathematics Uppsala University

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Why Is Richard Ehrenborg Influential?

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According to Wikipedia, Richard Ehrenborg is a Swedish mathematician working in algebraic combinatorics. He is known for developing the quasisymmetric function of a poset. He currently holds the Ralph E. and Norma L. Edwards Research Professorship at the University of Kentucky and is the first recipient of the Royster Research Professor at University of Kentucky.

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Richard Ehrenborg'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

On Posets and Hopf Algebras (1996) (196)
The Hankel Determinant of Exponential Polynomials (2000) (145)
Apolarity and Canonical Forms for Homogeneous Polynomials (1993) (138)
Coproducts and the cd-Index (1998) (102)
Juggling and applications to q-analogues (1996) (79)
The topology of the independence complex (2006) (79)
Thec-2d-Index of Oriented Matroids (1997) (60)
Monotonicity of the cd-index for polytopes (2000) (55)
Enumerative Properties of Ferrers Graphs (2004) (52)
Affine and Toric Hyperplane Arrangements (2008) (47)
The Excedance Set of a Permutation (2000) (44)
Combinatorial Proof of the Log-Concavity of the Numbers of Permutations with k Runs (1999) (43)
Determinants involving q-Stirling numbers (2003) (39)
The toric h-vectors of partially ordered sets (2000) (37)
The cd-Index of Zonotopes and Arrangements (1998) (34)
A Spectral Approach to Consecutive Pattern-Avoiding Permutations (2010) (34)
The r-cubical Lattice and a Generalization of the cd-index (1996) (33)
Decomposition theorem for the cd-index of Gorenstein* posets (2006) (32)
On Apolarity and Generic Canonical Forms (1999) (27)
Inequalities for cd-Indices of Joins and Products of Polytopes (2003) (26)
Sheffer posets and r-signed permutations (1995) (24)
Mixed Volumes and Slices of the Cube (1998) (23)
Non-constructible Complexes and the Bridge Index (2001) (22)
On Valuations, the Characteristic Polynomial, and Complex Subspace Arrangements (1998) (21)
A Probabilistic Approach to the Descent Statistic (2002) (21)
Canonical Forms of Two by Two by Two Matrices (1999) (20)
Yet Another Triangle for the Genocchi Numbers (2000) (20)
Lifting inequalities for polytopes (2005) (20)
The Möbius function of partitions with restricted block sizes (2007) (20)
Homology of Newtonian Coalgebras (2002) (20)
Playing Nim on a Simplicial Complex (1996) (19)
The Tchebyshev Transforms of the First and Second Kind (2004) (18)
A geometric formulation of the law of Aboav–Weaire in two and three dimensions (2011) (18)
SWEDISH MEDICAL ASSOCIATION (1959) (18)
Maximizing the descent statistic (1998) (17)
Flags and Shellings of Eulerian Cubical Posets (2000) (17)
A Bijective Proof of Infinite Variated Good′s Inversion (1994) (16)
The Frobenius Complex (2012) (16)
Generalizations of Baxter's Theorem and Cubical Homology (1995) (13)
On Flag Vectors, the Dowling Lattice, and Braid Arrangements (1999) (12)
Parking Cars of Different Sizes (2016) (12)
The average reliability of a graph (2014) (12)
The topology of restricted partition posets (2013) (12)
k-Eulerian Posets (2001) (11)
Euler flag enumeration of Whitney stratified spaces (2012) (11)
Schröder Parenthesizations and Chordates (1994) (11)
Simion’s Type B Associahedron is a Pulling Triangulation of the Legendre Polytope (2016) (11)
Ehrhart-Macdonald reciprocity extended (2005) (11)
Cutting Polytopes and Flag f-Vectors (2000) (10)
Exponential Dowling structures (2010) (10)
Descent pattern avoidance (2012) (10)
Excedances of affine permutations (2011) (10)
Explicit expressions for the extremal excedance set statistics (2010) (10)
The Dowling Transform of Subspace Arrangements (2000) (9)
A spectral approach to pattern-avoiding permutations (2006) (8)
Manifold arrangements (2012) (8)
Parking cars after a trailer (2017) (8)
The f-Vector of the Descent Polytope (2008) (7)
Cyclotomic factors of the descent set polynomial (2007) (7)
Classification of the factorial functions of Eulerian binomial and Sheffer posets (2005) (7)
The Asymptotics of Almost Alternating Permutations (2002) (6)
Level Eulerian Posets (2010) (6)
Inequalities for Zonotopes (2007) (6)
The descent set polynomial revisited (2014) (6)
q-Stirling Identities Revisited (2018) (5)
Decoding the Hamming Code (2006) (5)
The Gaussian Coefficient Revisited (2016) (5)
Coxeter arrangements in three dimensions (2015) (4)
On the Non-existence of an R-labeling (2010) (4)
The number of spanning trees of the Bruhat graph (2021) (4)
The Blind Bartender's Problem (1995) (4)
Number of cycles in the graph of 312-avoiding permutations (2013) (4)
The complex of non-crossing diagonals of a polygon (2008) (4)
The van der Waerden complex (2016) (4)
A generalization of combinatorial identities for stable discrete series constants (2019) (3)
A poset view of the major index (2014) (3)
Sharing pizza in n dimensions (2021) (3)
Asymptotics of the Euler number of bipartite graphs (2007) (3)
Some combinatorial identities appearing in the calculation of the cohomology of Siegel modular varieties (2018) (3)
Counting faces in the extended Shi arrangement (2019) (2)
$q$-Stirling numbers revisited (2017) (2)
The excedance algebra (2013) (2)
The Perles-Shephard identity for non-convex polytopes (2007) (2)
The antipode of the noncrossing partition lattice (2019) (2)
The signed descent set polynomial revisited (2016) (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)
Pairs with Equal Squares: 10654 (2000) (2)
Pizza and 2-structures (2021) (2)
A Bijective Answer to a Question of Zvonkin (2000) (2)
A sign-reversing involution for an extension of Torelli's Pfaffian identity (2014) (2)
A Restricted Growth Word Approach to Partitions with Odd/Even Size Blocks (2017) (2)
Cyclically Consecutive Permutation Avoidance (2013) (1)
Classification Of Uniform Flag Triangulations Of The Boundary Of The Full Root Polytope Of Type A (2019) (1)
A Geometric Approach to Acyclic Orientations (2009) (1)
Leaves of Ordered Trees: 10753 (2001) (1)
Affine and toric arrangements (2008) (1)
Filters in the partition lattice (2016) (1)
On the difference of odd/even cubatures (2019) (1)
Bruhat and balanced graphs (2013) (1)
Box polynomials and the excedance matrix (2017) (1)
The Cubical Matching Complex (2014) (1)
The r-signed Birkhoff transform (2021) (1)
On the powers of the descent set statistic (2017) (1)
A Conceptual Proof of Cramer's Rule (2004) (1)
Balanced and Bruhat Graphs (2020) (1)
On the generating function for consecutively weighted permutations (2014) (1)
C O ] 1 5 M ar 2 00 5 Characterization of the factorial functions of Eulerian binomial and Sheffer posets (2005) (1)
A Bijective Answer to a Question of Simion (2019) (1)
68.18 Heron’s formula from a Pythagoras-type theorem (1984) (0)
Magic Squares and Nontransitive Dice: 11099 (2006) (0)
The Frobenius Coin Problem—A Cylindrical Approach (2020) (0)
The Boustrophedon Transform for Descent Polytopes (2019) (0)
Fano, Galois, Hamming and a Card Trick (2021) (0)
Excedances of Affine Permutations Eric Clark and (2009) (0)
The Cubical Matching Complex (2013) (0)
Optimization Perspectives on Shellsort (2023) (0)
C O ] 2 0 Ju n 20 17 q-Stirling identities revisited (2018) (0)
Realizing Simion’s type B associahedron as a pulling triangulation of the Legendre polytope (2017) (0)
A Counting Proof for When 2 Is a Quadratic Residue (2020) (0)
Products of Polytopes and Inequalities (1999) (0)
Refined face count in uniform triangulations of the Legendre polytope (2019) (0)
The Hankel Determinant of Exponential Polynomials . . . . . . . . . . . . a N a N+1 a 2n 1 C C C C A (2000) (0)
The Frobenius Complex (2012) (0)
Prisms and Pyramids of Shelling Components (2018) (0)
Characterization of Eulerian binomial and Sheffer posets (2006) (0)
Combinatorial aspects of excedances and the frobenius complex (2011) (0)
Coxeter arrangements in three dimensions (2016) (0)
Bounds on the Number of Compatible k-Simplices Matching the Orientation of the (k − 1)-Skeleton of a Simplex (2021) (0)
Lifting the toric g-vector inequalities ∗ (2003) (0)
The Wästlund Partition in Higher Dimensions (2020) (0)
The expectation of the Vandermonde product squared for uniform random variables (2020) (0)
Hamiltonian Cycles on Archimedean Solids Are Twisting Free (2014) (0)
Prisms and Pyramids of Shelling Components (2018) (0)
Level Eulerian Posets (2012) (0)
Goes Back to Boole: 11234 (2008) (0)
The Boustrophedon Transform for Descent Polytopes (2019) (0)
Simion’s Type B Associahedron is a Pulling Triangulation of the Legendre Polytope (2018) (0)
Classification of uniform flag triangulations of the Legendre polytope (2019) (0)
The M\"obius function of partitions with restricted block size (2010) (0)
The topology of restricted partition posets (2012) (0)
Bounding Monochromatic Triangles Using Squares (2021) (0)
Filters in the partition lattice (2017) (0)
The Frobenius Coin Problem—A Cylindrical Approach (2019) (0)

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Why Is Richard Ehrenborg Influential?

Richard Ehrenborg's Published Works

Published Works

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What Schools Are Affiliated With Richard Ehrenborg?

Richard Ehrenborg's AcademicInfluence.com Rankings