Adriano Garsia — Bibliography

Papers and lecture notes, with links to local copies and journal versions

125 papers · 30 lecture notes

Papers

Fibonacci polynomials

arXiv ↗Journal ↗

The diagonal harmonics of Sn

2021 draft

A basis for the Diagonal Harmonic Alternants

arXiv ↗

Robinson-Schensted Algorithms Obtained from Tableau Recursions

arXiv ↗

On the sweep map for fuss rational Dyck paths

arXiv ↗Journal ↗

A proof of the Delta Conjecture when q=0

arXiv ↗Journal ↗

e-Positivity Results and Conjectures

arXiv ↗

Exploring a Delta Schur Conjecture

arXiv ↗Journal ↗

Five-term relation and Macdonald polynomials

arXiv ↗Journal ↗

A note on passing from a quasi-symmetric function expansion to a Schur function expansion of a symmetric function

arXiv ↗

A Proof the Functional Equation Conjecture

arXiv ↗

Ansatz for (-1)n-1∇pn

arXiv ↗

Inverting the rational sweep map

arXiv ↗Journal ↗

A new plethystic symmetric function operator and the rational compositional shuffle conjecture at t = 1/q

arXiv ↗Journal ↗

Dinv and Area

arXiv ↗Journal ↗

Compositional (km, kn)-Shuffle Conjectures

Journal ↗

Some new applications of the Stanley-Macdonald Pieri rules

2014Journal ↗

Some remarkable new plethystic operators in the theory of Macdonald polynomials

arXiv ↗Journal ↗

A polynomial expression for the character of diagonal harmonics

2015Journal ↗

Combinatorics of labelled parallelogram polyominoes

arXiv ↗Journal ↗

A three shuffle case of the compositional parking function conjecture

arXiv ↗Journal ↗

Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators

2011 draftJournal ↗

Proof of the 2-part Compositional Shuffle Conjecture

2011 draftJournal ↗

A new ‘dinv’ arising from the two part case of the Shuffle Conjecture

arXiv ↗Journal ↗

A new recursion in the theory of Macdonald polynomials

2009 draftJournal ↗

Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics

2011 draftJournal ↗

Hall-Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics

2011 draftJournal ↗

Kronecker coefficients via symmetric functions and constant term identities

2008 (final)Journal ↗

Harmonics for deformed Steenrod operators

arXiv ↗Journal ↗

Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials

2007 (final)Journal ↗

Invariants, Kronecker products and combinatorics of some remarkable Diophantine systems

2008 (final)Journal ↗

The non-degeneracy of the bilinear form for m-quasi-invariants

2005Journal ↗

Some new applications of orbit harmonics

2004 draft2005Journal ↗

Some new methods in the theory of m-quasi-invariants

2004Journal ↗

Combinatorial aspects of the Baker-Akhiezer functions for S2

2003Journal ↗

Shift differential operators in the theory of m-quasi-invariants

2004

Some old methods in the theory of m-quasi-invariants

2004 draftTeX source

Pebbles and expansions in the polynomial ring

20022002 (alt copy)Journal ↗

Qsym over Sym is free

2002-092002-10Journal ↗

A proof of the q,t-Catalan positivity conjecture

2000 draftJournal ↗

A positivity result in the theory of Macdonald polynomials

2001Journal ↗

Explicit plethystic formulas for Macdonald q,t-Kostka coefficients

1999 draft2000Journal ↗

Polynomiality of the q,t-Kostka revisited

2000Journal ↗

Multiple left regular representations associated with alternants of the symmetric group

Journal ↗

Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions

1999 draft1999Journal ↗

Lattice diagram polynomials and extended Pieri rules

1998 (final)Journal ↗

A random q,t-hook walk and a sum of Pieri coefficients

1996 draft1998Journal ↗

A remarkable q,t-Catalan sequence and q-Lagrange inversion

1994 draft19961996 TeX source1996 (alt copy)Journal ↗

Plethystic formulas for Macdonald q,t-Kostka coefficients

1996Journal ↗

Science fiction and Macdonald's polynomials

1996arXiv ↗

Some Natural Bigraded Sn-Modules

Journal ↗

Factorizations of Pieri rules for Macdonald polynomials

Journal ↗

A graded representation model for Macdonald's polynomials

preprint 1992TeX sourceJournal ↗

Homomorphisms between Solomon's descent algebras

Journal ↗

On certain graded Sn-modules and the q-Kostka polynomials

Journal ↗

On certain spaces of harmonic polynomials

Journal ↗

Orthogonality of Milne's polynomials and raising operators

manuscriptJournal ↗

Recent progress on the Macdonald q,t-Kostka conjecture

1992

Zonal polynomials and domino tableaux

Journal ↗

Combinatorics of the free Lie algebra and the symmetric group

Journal ↗

Idempotents for the free Lie algebra and q-enumeration

1990

Sergeev's formula and the Littlewood-Richardson rule

Journal ↗

A decomposition of Solomon's descent algebra

Journal ↗

Combinatorial aspects of skew representations of the symmetric group

Journal ↗

Relations between Young's natural and the Kazhdan-Lusztig representations of Sn

Journal ↗

A novel form of q-Lagrange inversion

q-counting rook placements and a formula of Frobenius

Journal ↗

Raising operators and Young's rule

Journal ↗

A combinatorial view of Andrews' proof of the L-M-W conjectures

Journal ↗

Shuffles of permutations and the Kronecker product

Journal ↗

Algorithms for plethysm

Journal ↗

Group actions on Stanley-Reisner rings and the construction of invariants

Journal ↗

An introduction to Cohen-Macaulay partially ordered sets

Journal ↗

A q-analogue of the Lagrange inversion formula

1981

A Rogers-Ramanujan bijection

Journal ↗

Combinatorial decompositions of a class of rings

Journal ↗

Method for constructing bijections for classical partition identities

Journal ↗

Symmetric functions and raising operators

Journal ↗

A combinatorial interpretation of q-derangement and q-Laguerre numbers

Journal ↗

Combinatorial methods in the theory of Cohen-Macaulay rings

Journal ↗

Composition sequences

Journal ↗

A combinatorial approach to Mehler's formulas for Hermite polynomials

Journal ↗

Methodes combinatoires dans la theorie des anneaux de Cohen-Macaulay

On the "maj" and "inv" q-analogues of Eulerian polynomials

Journal ↗

On the raising operators of A. Young

Journal ↗

Permutation statistics and partitions

Journal ↗

Higher dimensional polynomials of binomial type and formal power series inversion

Journal ↗

Some combinatorial methods in real analysis

A new algorithm for minimum cost binary trees

Journal ↗

A new expression for umbral operators and power series inversion

Journal ↗

A remarkable inequality and the uniform convergence of Fourier series

Journal ↗

Combinatorial inequalities and the smoothness of functions

Journal ↗

The monotonicity of certain functionals under rearrangement

Journal ↗

An expose of the Mullin-Rota theory of polynomials of binomial type

Journal ↗

Martingale inequalities: Seminar notes on recent progress

On a convex function inequality for martingales

Journal ↗

The Burgess-Davis inequalities via Fefferman's inequality

Journal ↗

Continuity properties of Gaussian processes with a multidimensional time parameter

Journal ↗

A real variable lemma and the continuity of paths of some Gaussian processes

Journal ↗

On the smoothness of functions satisfying certain integral inequalities

Positive orthonormal systems

Journal ↗

Topics in almost everywhere convergence

On some extremal positive definite functions

Journal ↗

Combinatorial inequalities and convergence of some orthonormal expansions and their continuous analogues

Some properties of the measures on function spaces induced by Gaussian processes

Journal ↗

More about the maximal ergodic lemma of Brunel

Journal ↗

On functions satisfying the mean value property with respect to a product measure

Journal ↗

A simple proof of Hopf's maximal ergodic theorem

Some bounds on best uniform linear approximation

Journal ↗

Existence of almost everywhere convergent rearrangements for Fourier series of L2 functions

Journal ↗

On some classes of continuous functions with convergent Fourier series

Journal ↗

A new proof of Beurling's theorem on the spectrum of bounded functions on the real axis

Journal ↗

Entropy and singularity of infinite convolutions

Journal ↗

Some Tauberian theorems and the asymptotic behavior of probabilities of recurrent events

Journal ↗

A discrete renewal theorem with infinite mean

Journal ↗

A note on the mean value property

Journal ↗

Arithmetic properties of Bernoulli convolutions

Journal ↗

Asymptotic behavior of successive coefficients of some power series

Journal ↗

On the conformal types of algebraic surfaces of Euclidean space

Journal ↗

An embedding of Riemann surfaces of genus one

Journal ↗

An imbedding of closed Riemann surfaces in Euclidean space

Journal ↗

Imbeddings of some closed Riemann surfaces by canal surfaces

Journal ↗

Some models of explosive line detonators

Journal ↗

The calculation of conformal parameters for some imbedded Riemann surfaces

Journal ↗

On surfaces with a rectilinear geodesic circle

Journal ↗

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Lecture Notes

A rewriting of Jennifer's derivation of the action of the Macdonald operator D1

1998

Alfred Young's construction of the irreducible representations of Sn

19952014 draft2020

An expose of Lascoux's theory of divided differences and symmetric polynomials

1998

Basics on finite fields

2020

Combinatorial species

1997

Discrete mathematics

1993

Garnir polynomials

1999

Heaps, continued fractions and orthogonal polynomials

1993

Introduction to the representation theory of finite groups

2005

Multiplicativity of the Qm,n operators at t=1

2014

New proof of the nabla-Enk formula

2010

On finite dimensional SL(2) representations

1993 draft2003

Orbit harmonics and graded representations, Chapter 3

2002

Orbit harmonics and graded representations, Chapter 4

2001

Orbit harmonics and graded representations, Chapters 1 & 2

2001

Orbits and Macdonald polynomials

1997

Partitions

1997

Posets and poset-partitions

1999

Reverse plane partitions

1997

Rodrigues formulas and orthogonality for Schur, Hall-Littlewood and Macdonald polynomials

1997

Say Red

2003

Some calculations for the outer hookwalk

2005

The action of a finite group G on a G-invariant vector space

2014

The character of the SLn harmonics

2007

The Egge-Loehr-Warrington result (a manipulatorial proof)

2012

The new k-Pieri coefficients of Francois and Mark

2014

The saga of reduced factorizations of elements of the symmetric group

2001

The ultimate polynomial problem

2010

Young seminormal representation, Murphy elements and content evaluations

2003

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