I. P. Goulden

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All published works

Action	Title	Year	Authors
+ PDF Chat	Natural exact covering systems and the reversion of the Möbius series	2018	I. P. Goulden Andrew Granville L. Bruce Richmond Jeffrey Shallit
+ PDF Chat	Asymptotics for a Class of Meandric Systems, via the Hasse Diagram of NC(n)	2018	I. P. Goulden Alexandru Nica Doron Puder
+ PDF Chat	Characterizing the number of coloured <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>m</mml:mi></mml:math>-ary partitions modulo <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml2" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>m</mml:mi></mml:math>, with and without gaps	2018	I. P. Goulden Pavel Shuldiner
+	Disjoint covering systems and the reversion of the Möbius series.	2017	I. P. Goulden L. Bruce Richmond Jeffrey Shallit
+ PDF Chat	On the Convergence of Monotone Hurwitz Generating Functions	2017	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Natural exact covering systems and the reversion of the Möbius series	2017	I. P. Goulden Andrew Granville L. Bruce Richmond Jeffrey Shallit
+	Characterizing the number of coloured $m$-ary partitions modulo $m$, with and without gaps	2017	I. P. Goulden Pavel Shuldiner
+ PDF Chat	Transitive factorizations of permutations and geometry	2016	I. P. Goulden D. M. Jackson
+	Contents of partitions and the combinatorics of permutation factorizations in genus $0$	2016	S. R. Carrell I. P. Goulden
+ PDF Chat	Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers	2016	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	On the convergence of monotone Hurwitz generating functions	2016	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Contents of partitions and the combinatorics of permutation factorizations in genus 0	2016	S. R. Carrell I. P. Goulden
+ PDF Chat	An edge-weighted hook formula for labelled trees	2014	Valentin Féray I. P. Goulden Alain Lascoux
+ PDF Chat	Monotone Hurwitz Numbers and the HCIZ Integral	2014	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Polynomiality of monotone Hurwitz numbers in higher genera	2013	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+ PDF Chat	A multivariate hook formula for labelled trees	2013	Valentin Féray I. P. Goulden
+	An edge-weighted hook formula for labelled trees	2013	Valentin Féray I. P. Goulden Alain Lascoux
+ PDF Chat	Lower order terms for the moments of symplectic and orthogonal families of L -functions	2012	I. P. Goulden Duc Khiem Huynh Rishikesh Michael Rubinstein
+ PDF Chat	Monotone Hurwitz Numbers in Genus Zero	2012	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Lower order terms for the moments of symplectic and orthogonal families of $L$-functions	2012	I. P. Goulden Duc Khiem Huynh Rishikesh Michael Rubinstein
+	A multivariate hook formula for labelled trees	2012	Valentin Féray I. P. Goulden
+	Polynomiality of monotone Hurwitz numbers in higher genera	2012	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Lower order terms for the moments of symplectic and orthogonal families of $L$-functions	2012	I. P. Goulden Duc Khiem Huynh Rishikesh Michael Rubinstein
+ PDF Chat	The Moduli Space of Curves, Double Hurwitz Numbers, and Faber’s Intersection Number Conjecture	2011	I. P. Goulden D. M. Jackson Ravi Vakil
+ PDF Chat	Enumerative Properties of NC (B) (p,q)	2011	I. P. Goulden Alexandru Nica Ion Oancea
+	Monotone Hurwitz numbers and the HCIZ integral II	2011	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+	Monotone Hurwitz numbers and the HCIZ integral	2011	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak
+ PDF Chat	Symmetric functions, codes of partitions and the KP hierarchy	2009	S. R. Carrell I. P. Goulden
+ PDF Chat	Annular embeddings of permutations for arbitrary genus	2009	I. P. Goulden William Slofstra
+ PDF Chat	Transitive powers of Young–Jucys–Murphy elements are central	2009	I. P. Goulden D. M. Jackson
+ PDF Chat	A short proof of the λg -conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves	2009	I. P. Goulden D. M. Jackson Ravi Vakil
+	Symmetric functions, codes of partitions and the KP hierarchy	2009	S. R. Carrell I. P. Goulden
+	The KP hierarchy, branched covers, and triangulations	2008	I. P. Goulden D. M. Jackson
+ PDF Chat	Transitive Factorizations in the Hyperoctahedral Group	2008	Gilberto Bini I. P. Goulden D. M. Jackson
+	The KP hierarchy, branched covers, and triangulations	2008	I. P. Goulden D. M. Jackson
+	Annular embeddings of permutations for arbitrary genus	2008	I. P. Goulden William Slofstra
+ PDF Chat	An explicit form for Kerov's character polynomials	2007	I. P. Goulden Amarpreet Rattan
+	Transitive powers of Young-Jucys-Murphy elements are central	2007	I. P. Goulden D. M. Jackson
+	Enumerative Properties of NC^B(p,q)	2007	I. P. Goulden Alexandru Nica Ion Oancea
+ PDF Chat	A Simple Recurrence for Covers of the Sphere With Branch Points of Arbitrary Ramification	2006	I. P. Goulden Luís Serrano
+ PDF Chat	Words Avoiding a Reflexive Acyclic Relation	2006	John Dollhopf I. P. Goulden Curtis Greene
+	A short proof of the lambda_g-conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves	2006	I. P. Goulden D. M. Jackson Ravi Vakil
+	The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture	2006	I. P. Goulden D. M. Jackson Ravi Vakil
+	Enumerating branched orientable surface coverings over a non-orientable surface	2005	I. P. Goulden Jin Ho Kwak Jaeun Lee
+	On a Sequence Arising in Algebraic Geometry	2005	I. P. Goulden Simon Litsyn Vladimir Shevelev
+	Towards the geometry of double Hurwitz numbers	2005	I. P. Goulden D. M. Jackson Ravi Vakil
+	A direct bijection for the Harer–Zagier formula	2005	I. P. Goulden Alexandru Nica
+	A simple recurrence for covers of the sphere with branch points of arbitrary ramification	2005	I. P. Goulden Luís Serrano
+	An explicit form for Kerov's character polynomials	2005	I. P. Goulden Amarpreet Rattan
+	Distributions of regular branched surface coverings	2003	I. P. Goulden Jin Ho Kwak Jaeun Lee
+	Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope	2003	I. P. Goulden Luís Serrano
+	Determinants of Random Matrices and Jack Polynomials of Rectangular Shape	2003	George E. Andrews I. P. Goulden D. M. Jackson
+	Towards the geometry of double Hurwitz numbers	2003	I. P. Goulden David A. Jackson Ravi Vakil
+ PDF Chat	Dyck paths and a bijection for multisets of hook numbers	2002	I. P. Goulden Alexander Yong
+	Tree-like Properties of Cycle Factorizations	2002	I. P. Goulden Alexander Yong
+ PDF Chat	The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals	2001	I. P. Goulden D. M. Jackson Ravi Vakil
+ PDF Chat	Inequivalent Transitive Factorizations into Transpositions	2001	I. P. Goulden D. M. Jackson Frédéric Latour
+ PDF Chat	A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves	2001	I. P. Goulden John Harer D. M. Jackson
+	Dyck paths and a bijection for multisets of hook numbers	2001	I. P. Goulden Alexander Yong
+	Tree-like properties of cycle factorizations	2001	I. P. Goulden Alexander Yong
+	Transitive Factorizations in the Symmetric Group, and Combinatorial Aspects of Singularity Theory	2000	I. P. Goulden D. M. Jackson
+	The Number of Ramified Coverings of the Sphere by the Torus and Surfaces of Higher Genera	2000	I. P. Goulden D. M. Jackson Alek Vainshtein
+	The Number of Ramified Coverings of the Sphere by the Double Torus, and a General Form for Higher Genera	1999	I. P. Goulden D. M. Jackson
+	A Proof of a Conjecture for the Number of Ramified Coverings of the Sphere by the Torus	1999	I. P. Goulden D. M. Jackson
+	A proof of a conjecture for the number of ramified coverings of the sphere by the torus	1999	I. P. Goulden D. M. Jackson
+	Transitive factorisations in the symmetric group, and combinatorial aspects of singularity theory	1999	I. P. Goulden D. M. Jackson
+	A geometric parametrization for the virtual Euler characteristic for the moduli spaces of real and complex algebriac curves	1999	I. P. Goulden John Harer D. M. Jackson
+	The number of ramified coverings of the sphere by the double torus, and a general form for higher genera	1999	I. P. Goulden D. M. Jackson
+	The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals	1999	I. P. Goulden David A. Jackson Ravi Vakil
+	Multivariable Lagrange Inversion, Gessel-Viennot Cancellation, and the Matrix Tree Theorem	1997	I. P. Goulden Amey Kulkarni
+ PDF Chat	Maps in Locally Orientable Surfaces and Integrals Over Real Symmetric Surfaces	1997	I. P. Goulden D. M. Jackson
+ PDF Chat	Transitive factorisations into transpositions and holomorphic mappings on the sphere	1997	I. P. Goulden D. M. Jackson
+	Connexion coefficients for the symmetric group, free products in operator algebras, and random matrices	1996	I. P. Goulden D Jackson
+	Raney Paths and a Combinatorial Relationship between Rooted Nonseparable Planar Maps and Two-Stack-Sortable Permutations	1996	I. P. Goulden Julian West
+ PDF Chat	Maps in Locally Orientable Surfaces, the Double Coset Algebra, and Zonal Polynomials	1996	I. P. Goulden D. M. Jackson
+	Further Determinants with the Averaging Property of Andrews–Burge	1996	I. P. Goulden
+	Further determinants with the averaging property of Andrews-Burge	1996	I. P. Goulden D. M. Jackson
+ PDF Chat	Connection coefficients, matchings, maps and combinatorial conjectures for Jack symmetric functions	1996	I. P. Goulden David A. Jackson
+	Planar decompositions of tableaux and Schur function determinants	1995	Angèle M. Hamel I. P. Goulden
+ PDF Chat	Combinatorial constructions for integrals over normally distributed random matrices	1995	I. P. Goulden D. M. Jackson
+ PDF Chat	Lattice Paths and a Sergeev-Pragacz Formula for Skew Supersymmetric Functions	1995	Angèle M. Hamel I. P. Goulden
+	Shift operators and factorial symmetric functions	1995	I. P. Goulden Angèle M. Hamel
+	A New Tableau Representation for Supersymmetric Schur Functions	1994	I. P. Goulden Casey S. Greene
+	Symmetrical Functions and Macdonald′s Result for Top Connexion Coefficients in the Symmetrical Group	1994	I. P. Goulden D. M. Jackson
+ PDF Chat	A differential operator for symmetric functions and the combinatorics of multiplying transpositions	1994	I. P. Goulden
+	New tableau representation of supersymmetric Schur functions	1994	I. P. Goulden Curtis Greene
+	The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group	1992	I. P. Goulden D. M. Jackson
+	Immanants of combinatorial matrices	1992	I. P. Goulden D. M. Jackson
+	A linear operator for symmetric functions and tableaux in a strip with given trace	1992	I. P. Goulden
+ PDF Chat	Immanants, Schur functions, and the MacMahon master theorem	1992	I. P. Goulden D. M. Jackson
+	The Number of Involutions with r Fixed Points and a Long Increasing Subsequence	1991	I. P. Goulden
+ PDF Chat	Exact Values for Degree Sums Over Strips of Young Diagrams	1990	I. P. Goulden
+ PDF Chat	Generalizations of Cauchy's Summation Theorem for Schur Functions	1988	George E. Andrews I. P. Goulden D. M. Jackson
+	Quadratic Forms of Skew Schur Functions	1988	I. P. Goulden
+ PDF Chat	Generalizations of Cauchy’s summation theorem for Schur functions	1988	George E. Andrews I. P. Goulden D. M. Jackson
+	Labelled graphs with vertices of degree at least three	1987	I. P. Goulden D. M. Jackson
+ PDF Chat	The generalized plasma in one dimension: Evaluation of a partition function	1987	David M. Bressoud I. P. Goulden
+	Shanks' convergence acceleration transform, Padé approximants and partitions	1986	George E. Andrews I. P. Goulden D. M. Jackson
+	Path generating functions and continued fractions	1986	I. P. Goulden D. M. Jackson
+	Distributions, continued fractions, and the Ehrenfest Urn model	1986	I. P. Goulden D. M. Jackson
+ PDF Chat	Directed Graphs and the Jacobi-Trudi Identity	1985	I. P. Goulden
+	A bijective proof of the q-Saalschütz theorem	1985	I. P. Goulden
+	Ballot sequences and a determinant of good's	1985	I. P. Goulden D. M. Jackson
+ PDF Chat	A bijective proof of Stanley’s shuffling theorem	1985	I. P. Goulden
+ PDF Chat	Constant term identities extending the 𝑞-Dyson theorem	1985	David M. Bressoud I. P. Goulden
+	A Logarithmic Connection for Circular Permutation Enumeration	1984	I. P. Goulden D. M. Jackson
+	The Hammond Series of a Symmetric Function and Its Application to <i>P</i>-Recursiveness	1983	I. P. Goulden D. M. Jackson James Reilly
+ PDF Chat	The number of solutions to an equation arising from a problem on latin squares	1983	I. P. Goulden Scott A. Vanstone
+ PDF Chat	The Application of Lagrangian Methods to the Enumeration of Labelled Trees with Respect to Edge Partition	1982	I. P. Goulden D. M. Jackson
+	Algebraic methods for permutations with prescribed patterns	1981	D. M. Jackson I. P. Goulden
+	The Enumeration of Directed Closed Euler Trails and Directed Hamiltonian Circuits by Lagrangian Methods	1981	I. P. Goulden D. M. Jackson
+ PDF Chat	The Generalisation of Tutte's Result for Chromatic Trees, by Lagrangian Methods	1981	D. M. Jackson I. P. Goulden
+ PDF Chat	A Correspondence between Plane Planted Chromatic Trees and Generalised Derangements	1981	I. P. Goulden D. M. Jackson
+	A combinatorial application of matrix Riccati equations and their q-analogue	1981	C. B. Collins I. P. Goulden D. M. Jackson Oscar Nierstrasz
+	A Formal Calculus for the Enumerative System of Sequences—III. Further Developments	1980	D. M. Jackson I. P. Goulden
+	An Inversion Theorem for Cluster Decompositions of Sequences with Distinguished Subsequences	1979	I. P. Goulden D. M. Jackson
+	A Formal Calculus for the Enumerative System of Sequences-I. Combinatorial Theorems	1979	D. M. Jackson I. P. Goulden
+ PDF Chat	Sequence Enumeration and the de Bruijn-Van Aardenne Ehrenfest-Smith-Tutte Theorem	1979	D. M. Jackson I. P. Goulden

Common Coauthors

Coauthor	Papers Together
D. M. Jackson	50
Jonathan Novak	9
Mathieu Guay-Paquet	9
Ravi Vakil	8
George E. Andrews	4
Valentin Féray	4
Alexandru Nica	4
S. R. Carrell	4
Alexander Yong	4
Jeffrey Shallit	3
David A. Jackson	3
Michael Rubinstein	3
Luís Serrano	3
Duc Khiem Huynh	3
L. Bruce Richmond	3
Angèle M. Hamel	3
Alain Lascoux	2
Andrew Granville	2
David M. Bressoud	2
John Harer	2
Rishikesh	2
Pavel Shuldiner	2
Amarpreet Rattan	2
Ion Oancea	2
Jaeun Lee	2
Curtis Greene	2
Jin Ho Kwak	2
William Slofstra	2
James Reilly	1
D Jackson	1
Scott A. Vanstone	1
Rishikesh	1
Julian West	1
C. B. Collins	1
Alek Vainshtein	1
D. M. Jackson	1
Frédéric Latour	1
Vladimir Shevelev	1
Casey S. Greene	1
John Dollhopf	1
Doron Puder	1
Amey Kulkarni	1
Simon Litsyn	1
Gilberto Bini	1
Oscar Nierstrasz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Combinatorial Enumeration	2024	Robin Pemantle Mark C. Wilson Stephen Melczer	36
+ PDF Chat	Ueber Riemann'sche Fl�chen mit gegebenen Verzweigungspunkten	1891	A. Hurwitz	28
+ PDF Chat	Intersection theory on the moduli space of curves and the matrix airy function	1992	Maxim Kontsevich	20
+ PDF Chat	Hurwitz numbers and intersections on moduli spaces of curves	2001	Torsten Ekedahl S. K. Lando Michael Shapiro Alek Vainshtein	19
+	The Number of Ramified Coverings of the Sphere by the Torus and Surfaces of Higher Genera	2000	I. P. Goulden D. M. Jackson Alek Vainshtein	19
+ PDF Chat	Transitive factorisations into transpositions and holomorphic mappings on the sphere	1997	I. P. Goulden D. M. Jackson	18
+ PDF Chat	Toda equations for Hurwitz numbers	2000	Andreĭ Okounkov	15
+	An algebro-geometric proof of Witten’s conjecture	2007	Maxim Kazarian S. K. Lando	15
+	Towards the geometry of double Hurwitz numbers	2005	I. P. Goulden D. M. Jackson Ravi Vakil	14
+ PDF Chat	The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals	2001	I. P. Goulden D. M. Jackson Ravi Vakil	13
+ PDF Chat	Two-dimensional gravity and intersection theory on moduli space	1990	Edward Witten	12
+	The Number of Ramified Coverings of the Sphere by the Double Torus, and a General Form for Higher Genera	1999	I. P. Goulden D. M. Jackson	12
+ PDF Chat	The Euler characteristic of the moduli space of curves	1986	John Harer Don Zagier	11
+ PDF Chat	A differential operator for symmetric functions and the combinatorics of multiplying transpositions	1994	I. P. Goulden	10
+ PDF Chat	On an integral representation for the genus series for $2$-cell embeddings	1994	D. M. Jackson	9
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	8
+	Topological classification of trigonometric polynomials and combinatorics of graphs with an equal number of vertices and edges	1996	Vladimir I. Arnold	8
+	Gromov-Witten theory, Hurwitz numbers, and Matrix models, I	2001	Andreĭ Okounkov Rahul Pandharipande	8
+	None	2000	Rahul Pandharipande	8
+	Some combinatorial problems associated with products of conjugacy classes of the symmetric group	1988	D. M. Jackson	8
+ PDF Chat	On Hurwitz numbers and Hodge integrals	1999	Torsten Ekedahl S. K. Lando Michael Shapiro Alek Vainshtein	8
+	A theorem on trees	2009	Arthur Cayley	7
+	A Proof of a Conjecture for the Number of Ramified Coverings of the Sphere by the Torus	1999	I. P. Goulden D. M. Jackson	7
+	Polynomiality of monotone Hurwitz numbers in higher genera	2013	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak	7
+	The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group	1992	I. P. Goulden D. M. Jackson	7
+ PDF Chat	Monotone Hurwitz Numbers in Genus Zero	2012	I. P. Goulden Mathieu Guay-Paquet Jonathan Novak	7
+	Three questions in Gromov-Witten theory	2003	Rahul Pandharipande	6
+	Symmetrical Functions and Macdonald′s Result for Top Connexion Coefficients in the Symmetrical Group	1994	I. P. Goulden D. M. Jackson	6
+ PDF Chat	Problèmes combinatoires de commutation et réarrangements	1969	P. Cartier Dominique Foata	6
+ PDF Chat	Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds	2001	An-Min Li Yongbin Ruan	6
+	Some combinatorial properties of Jack symmetric functions	1989	Richard P. Stanley	6
+ PDF Chat	Counting cycles in permutations by group characters, with an application to a topological problem	1987	D. M. Jackson	6
+	Enumeration of Planar Constellations	2000	Mireille Bousquet‐Mélou Gilles Schaeffer	6
+ PDF Chat	Virasoro constraints and the Chern classes of the Hodge bundle	1998	Ezra Getzler Rahul Pandharipande	6
+ PDF Chat	Localization of virtual classes	1999	T.M. Graber Rahul Pandharipande	6
+	Gromov–Witten theory, Hurwitz theory, and completed cycles	2006	Andreĭ Okounkov Rahul Pandharipande	5
+	On elementary calculus and the good formula	1975	W. T. Tutte	5
+ PDF Chat	Large N phases of chiral QCD2	1995	Michael Crescimanno Washington Taylor	5
+ PDF Chat	Character theory and rooted maps in an orientable surface of given genus: face-colored maps	1990	D. M. Jackson Terry I. Visentin	5
+ PDF Chat	Perturbative series and the moduli space of Riemann surfaces	1988	Robert Penner	5
+ PDF Chat	A Conjectural Description of the Tautological Ring of the Moduli Space of Curves	1999	Carel Faber	5
+	Binomial posets, Möbius inversion, and permutation enumeration	1976	Richard P. Stanley	5
+	Generalizations to several variables of Lagrange's expansion, with applications to stochastic processes	1960	I. J. Good	5
+	On the Hurwitz scheme and its monodromy	1991	David Eisenbud Noam Elkies Joe Harris Robert Speiser	5
+ PDF Chat	Proof of a Conjecture of Goulden and Jackson	1997	Andreĭ Okounkov	5
+	Symmetric polynomials and the center of the symmetric group ring	1974	A. A. Jucys	5
+	Ramified coverings of S^2 with one degenerate branching point and enumeration of edge-ordered graphs	1997	Boris Shapiro Michael Shapiro A. D. Vainshtein	5
+ PDF Chat	The Hook Graphs of the Symmetric Group	1954	J. S. Frame G. de B. Robinson Robert Thrall	5
+ PDF Chat	A geometric parametrization for the virtual Euler characteristics of the moduli spaces of real and complex algebraic curves	2001	I. P. Goulden John Harer D. M. Jackson	5
+ PDF Chat	Genus $0$ and $1$ Hurwitz numbers: Recursions, formulas, and graph-theoretic interpretations	2001	Ravi Vakil	5