Ira Gessel
#56,319
Most Influential Person Now
American mathematician
Ira Gessel's AcademicInfluence.com Rankings
Ira Gesselmathematics Degrees
Mathematics
#3124
World Rank
#4671
Historical Rank
Combinatorics
#38
World Rank
#42
Historical Rank
Measure Theory
#1304
World Rank
#1647
Historical Rank
Download Badge
Mathematics
Why Is Ira Gessel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ira Martin Gessel is an American mathematician, known for his work in combinatorics. He is a long-time faculty member at Brandeis University and resides in Arlington, Massachusetts. Education and career Gessel studied at Harvard University graduating magna cum laude in 1973. There, he became a Putnam Fellow in 1972, alongside Arthur Rubin and David Vogan.
Ira Gessel'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
- Binomial Determinants, Paths, and Hook Length Formulae (1985) (726)
- Multipartite P-partitions and inner products of skew Schur functions (1983) (549)
- Symmetric functions and P-recursiveness (1990) (378)
- Problems and Solutions (2015) (339)
- Counting Permutations with Given Cycle Structure and Descent Set (1993) (315)
- Determinants, Paths, and Plane Partitions (1989) (241)
- Permutation statistics and partitions (1979) (170)
- Applications of q-lagrange inversion to basic hypergeometric series (1983) (144)
- Stirling Polynomials (1978) (140)
- Random walk in a Weyl chamber (1992) (138)
- Strange Evaluations of Hypergeometric Series (1982) (138)
- A noncommutative generalization and $q$-analog of the Lagrange inversion formula (1980) (135)
- Generating functions and enumeration of sequences. (1977) (130)
- Applications of the classical umbral calculus (2001) (122)
- Cylindric Partitions (1995) (106)
- The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions (1995) (105)
- A coloring problem (1991) (104)
- On Miki's identity for Bernoulli numbers (2005) (99)
- A combinatorial proof of the multivariable lagrange inversion formula (1987) (96)
- A Factorization for Formal Laurent Series and Lattice Path Enumeration (1980) (83)
- Super Ballot Numbers (1992) (78)
- A probabilistic method for lattice path enumeration (1986) (73)
- A Refinement of Cayley's Formula for Trees (2005) (71)
- Algebraic enumeration (1996) (70)
- Finding Identities with the WZ Method (1995) (68)
- The Polynomial Part of a Restricted Partition Function Related to the Frobenius Problem (2001) (67)
- Lagrange inversion (2016) (60)
- Generating functions and generalized Dedekind sums (1996) (59)
- On the descent numbers and major indices for the hyperoctahedral group (2007) (55)
- Depth-First Search as a Combinatorial Correspondence (1979) (54)
- The Generating Function of Ternary Trees and Continued Fractions (2005) (48)
- Generalized Rook Polynomials and Orthogonal Polynomials (1989) (48)
- Enumerative applications of a decomposition for graphs and digraphs (1995) (43)
- Some congruences for Apéry numbers (1982) (42)
- Divisibility properties of the $q$-tangent numbers (1978) (37)
- The Specification of 2-trees (2002) (36)
- Classic Papers in Combinatorics (1987) (36)
- A q-analog of the exponential formula (2006) (33)
- Lattice Walks in Zd and Permutations with No Long Ascending Subsequences (1997) (32)
- Counting paths in Young's lattice (1993) (30)
- A SHORT PROOF OF THE ZEILBERGER-BRESSOUD q-DYSON THEOREM (2004) (30)
- ENUMERATION OF TILINGS OF DIAMONDS AND HEXAGONS WITH DEFECTS (1998) (30)
- Counting acyclic digraphs by sources and sinks (1996) (28)
- Counting Latin rectangles (1987) (27)
- Short Proofs of Saalschütz's and Dixon's Theorems (1985) (27)
- Enumeration of trees by inversions (1995) (26)
- A historical survey of P-partitions (2015) (25)
- Another family of q-Lagrange inversion formulas (1986) (25)
- Signed Mahonians (2004) (24)
- Nonorientable surfaces in homology cobordisms (2013) (24)
- Jacobi-Stirling polynomials and P-partitions (2012) (23)
- Some Congruences for Generalized Euler Numbers (1983) (23)
- A Combinatorial Interpretation of the Numbers 6 (2n)! =n! (n + 2)! (2004) (23)
- Tournaments and Vandermond's determinant (1979) (22)
- An inversion theorem for labeled trees and some limits of areas under lattice paths (2008) (21)
- Shuffle-compatible permutation statistics (2017) (20)
- ENUMERATIVE APPLICATIONS OF SYMMETRIC FUNCTIONS (1987) (19)
- Counting Permutations by Alternating Descents (2014) (18)
- On the number of convex polyominoes (2000) (18)
- Tilings of Diamonds and Hexagons with Defects (1999) (17)
- A bijection between words and multisets of necklaces (2012) (17)
- Lattice Paths and Faber Polynomials (1997) (16)
- Counting unlabeled k-trees (2013) (16)
- Hypergraphs and a functional equation of Bouwkamp and de Bruijn (2004) (16)
- Generalized Chung-Feller Theorems for Lattice Paths (2009) (16)
- Cyclic quasi-symmetric functions (2018) (15)
- Counting three-line Latin rectangles (1986) (15)
- Counting forests by descents and leaves (1995) (15)
- Lagrange Inversion for Species (1995) (15)
- ON THE ORDER OF STIRLING NUMBERS AND ALTERNATING BINOMIAL COEFFICIENT SUMS (2001) (15)
- A Triple Lacunary Generating Function for Hermite Polynomials (2004) (14)
- Acyclic orientations and chromatic generating functions (2001) (11)
- A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities (2007) (11)
- Compositions and Fibonacci Identities (2013) (10)
- Enumeration of Bipartite Graphs and Bipartite Blocks (2013) (10)
- Counting Pairs of Lattice Paths by Intersections (1994) (8)
- The limit as p -> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i)) (2010) (8)
- Symmetrically constrained compositions (2009) (8)
- A major index for matchings and set partitions (2007) (8)
- Counting tanglegrams with species (2015) (7)
- Enumeration of point-determining graphs (2007) (6)
- Review: Ian P. Goulden and David M. Jackson, Combinatorial enumeration (1985) (6)
- Some generalized Durfee square identities (1984) (6)
- Plethystic formulas for permutation enumeration (2020) (5)
- Labeled plane binary trees and Schur-positivity (2017) (5)
- Unified Elementary Approach to the Dyson, Morris, Aomoto, and Forrester Constant Terms (2007) (5)
- Specifying 2-trees (2000) (5)
- Problems and Solutions (2013) (5)
- A note on Stirling permutations (2020) (4)
- On the Schur Function Expansion of a Symmetric Quasi-symmetric Function (2018) (4)
- Multilinear generating functions for Charlier polynomials (2009) (4)
- The Joint Distribution of Descent and Major Index over Restricted Sets of Permutations (2007) (4)
- A historical survey of -partitions (2016) (3)
- Elementary Problems: E3059-E3063 (1984) (3)
- The Smith College Diploma Problem (2001) (3)
- Symmetric inclusion-exclusion (2005) (2)
- Moments of orthogonal polynomials and exponential generating functions (2021) (2)
- A short proof of the Deutsch-Sagan congruence for connected non crossing graphs (2014) (2)
- A simple proof of Andrews’s 5F4 evaluation (2013) (2)
- Even and Odd Pairs of Lattice Paths with Multiple Intersections (1996) (2)
- Elementary Problems: E3189-E3194 (1987) (2)
- Elementary Problems: E2683-E2688 (1977) (2)
- Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity (2017) (2)
- An application of the Goulden–Jackson cluster theorem (2020) (2)
- Reciprocals of exponential polynomials and permutation enumeration (2018) (2)
- Hadamard products, lattice paths, and skew tableaux (2011) (2)
- Note on enumeration of partitions contained in a given shape (2010) (2)
- Three Proofs and a Generalization of the Goulden-Litsyn-Shevelev Conjecture on a Sequence Arising in Algebraic Geometry (2007) (2)
- An Empirical Method for Solving (rigorously!) Algebraic Functional Equations Of the Form F(P(x,t), P(x,1),x,t)=0 (2014) (2)
- Problems and Solutions (2015) (2)
- Elementary Problems: E3159-E3164 (1986) (1)
- A note on 2-distant noncrossing partitions and weighted Motzkin paths (2010) (1)
- Talmudic Lattice Path Counting (1994) (1)
- Counting Prime Graphs and Point-Determining Graphs Using Combinatorial Theory of Species (2007) (1)
- Problems and Solutions (2014) (1)
- Problems and Solutions (2008) (1)
- Advanced Problems: 6606-6608 (1989) (1)
- Permutation Parameters with the Same Distribution: 10634 (2000) (1)
- Problems and Solutions (2016) (1)
- Problems and Solutions (2016) (1)
- A Bijective Approach to the Permutational Power of a Priority Queue (2007) (1)
- Problems: 10424-10430 (1995) (1)
- On Point-Determining Graphs (2007) (1)
- Problems And Solutions (2016) (1)
- H. W. Gould: dedication (1999) (1)
- THREE PROOFS OF THE GOULDEN-LITSYN-SHEVELEV CONJECTURE ON A SEQUENCE ARISING IN ALGEBRAIC GEOMETRY (2006) (1)
- Counting acyclic and strong digraphs by descents (2019) (1)
- Problems and Solutions (2016) (0)
- Elementary Problems: E3105-E3110 (1985) (0)
- On a polynomial congruence for Eulerian polynomials (2021) (0)
- Problems and Solutions (2003) (0)
- On a Conjecture of Ira Gessel Marko Petkovšek (2008) (0)
- A Proof of the Zeilberger-Bressoud $q$-Dyson Theorem (2004) (0)
- Problems and Solutions (2015) (0)
- Equivalence Classes and Cyclic Arrangements: 10525 (1998) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2003) (0)
- The Flag Descent Algebra and the Colored Eulerian Descent Algebra (2012) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2013) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2007) (0)
- Problems: 10522-10528 (1996) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2004) (0)
- Problems and Solutions (2006) (0)
- C O ] 2 0 A ug 2 02 0 Plethystic formulas for permutation enumeration (2020) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2007) (0)
- Some Congruences for Ap6ry Numbers (1982) (0)
- Counting Connected Digraphs with Gradings (2013) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2009) (0)
- Binomial convolutions for rational power series (2023) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2015) (0)
- Mosquito combinatorics (occupancy spectrum) (2012) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2014) (0)
- Counting permutations by peaks, descents, and cycle type (2020) (0)
- Problems and Solutions (2003) (0)
- Descents, Peaks, and P -partitions Doctor of Philosophy (2006) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2004) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2004) (0)
- A simple proof of Andrews’s 5F4 evaluation (2013) (0)
- Introduction (1992) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2005) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2015) (0)
- Advanced Problems: 6518-6520 (1986) (0)
- LATTICE PATHS AND (1996) (0)
- Elementary Problems: E3201-E3206 (1987) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2004) (0)
- Note Short Proofs of Saalschiitz ’ s and Dixon ’ s Theorems (2003) (0)
- Problems and Solutions (2013) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2016) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2014) (0)
- Problems and Solutions (2000) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2003) (0)
- Problems and Solutions (2009) (0)
- Graphical Enumeration: a Species-theoretic Approach Graphical Enumeration: a Species-theoretic Approach (0)
- Problems and Solutions (2015) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2004) (0)
- Problems and Solutions (2015) (0)
- Problems: 10322-10329 (1993) (0)
- Problems and Solutions (2015) (0)
- A Determinant of Derivatives: 10464 (1998) (0)
- Problems and Solutions (2008) (0)
- Book Review: Enumerative combinatorics, Volume 2 (2001) (0)
- Can One Recover a ( Spherical ) Triangle from Its Medial Triangle ? (2008) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2015) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2016) (0)
- Problems and Solutions (2013) (0)
- Problems and Solutions Source : The American Mathematical Monthly (2014) (0)
- Problems and Solutions (2006) (0)
- Problems and Solutions (2009) (0)
- Problems and Solutions (2004) (0)
- On the Almkvist-Meurman theorem for Bernoulli polynomials (2022) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2004) (0)
- Problems and Solutions (2016) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2002) (0)
- Problems and Solutions (2008) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2007) (0)
- Problems and Solutions (2016) (0)
- Cyclic quasi-symmetric functions (2021) (0)
- Problems and Solutions (2004) (0)
- G-species, Quotients, and Graph Enumeration (2012) (0)
- Problems and Solutions (2016) (0)
- Problems and Solutions (2010) (0)
- Problems and Solutions (2004) (0)
- Problems and Solutions (2000) (0)
- A note on continued fractions (2010) (0)
This paper list is powered by the following services:
Other Resources About Ira Gessel
What Schools Are Affiliated With Ira Gessel?
Ira Gessel is affiliated with the following schools:
