Adriano Garsia
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American mathematician
Adriano Garsia's AcademicInfluence.com Rankings
Adriano Garsiamathematics Degrees
Mathematics
#2853
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#4318
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Group Theory
#104
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#130
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Number Theory
#195
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#252
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Algebra
#206
World Rank
#306
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Mathematics
Adriano Garsia's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Adriano Garsia Influential?
(Suggest an Edit or Addition)According to Wikipedia, Adriano Mario Garsia is a Tunisian-born Italian American mathematician who works in analysis, combinatorics, representation theory, and algebraic geometry. He is a student of Charles Loewner and has published work on representation theory, symmetric functions, and algebraic combinatorics. He and Mark Haiman made the N!_conjecture. He is also the namesake of the Garsia–Wachs algorithm for optimal binary search trees, which he published with his student Michelle L. Wachs in 1977.
Adriano Garsia'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
- A Real Variable Lemma and the Continuity of Paths of Some Gaussian Processes (1970) (302)
- A Remarkable q, t-Catalan Sequence and q-Lagrange Inversion (1996) (264)
- Arithmetic properties of Bernoulli convolutions (1962) (253)
- Martingale inequalities: seminar notes on recent progress (1973) (252)
- On certain graded Sn-modules and the q-Kostka polynomials (1992) (200)
- A graded representation model for Macdonald's polynomials. (1993) (189)
- Permutation statistics and partitions (1979) (170)
- A proof of the q, t-Catalan positivity conjecture (2002) (162)
- Q-counting rook configurations and a formula of frobenius (1986) (150)
- A decomposition of Solomon's descent algebra (1989) (147)
- Identities and Positivity Conjectures for some remarkable Operators in the Theory of Symmetric Functions (1999) (143)
- An Introduction to Cohen-Macaulay Partially Ordered Sets (1982) (129)
- A discrete renewal theorem with infinite mean (1962) (120)
- Group actions on Stanley-Reisner rings and invariants of permutation groups☆ (1984) (117)
- Combinatorial methods in the theory of Cohen-Macaulay rings (1980) (108)
- Continuity properties of Gaussian processes with multidimensional time parameter (1972) (105)
- Shuffles of permutations and the Kronecker product (1985) (103)
- A Rogers-Ramanujan Bijection (1981) (101)
- Combinatorics of the Free Lie Algebra and the Symmetric Group (1990) (98)
- A New Algorithm for Minimum Cost Binary Trees (1977) (95)
- Entropy and singularity of infinite convolutions. (1963) (93)
- Explicit Plethystic Formulas for Macdonald q,t-Kostka Coefficients (2001) (87)
- Monotonicity of certain functionals under rearrangement (1974) (86)
- Plethystic Formulas for Macdonald q, t-Kostka Coefficients (1996) (78)
- Relations between Young's natural and the Kazhdan-Lusztig representations of Sn (1988) (75)
- Compositional (km,kn)-Shuffle Conjectures (2014) (64)
- A positivity result in the theory of Macdonald polynomials (2001) (61)
- An exposá of the mullin-rota theory of polynomials of binomial type (1973) (59)
- A Combinatorial Interpretation of q-Derangement and q-Laguerre Numbers (1980) (57)
- LATTICE DIAGRAM POLYNOMIALS AND EXTENDED PIERI RULES (1998) (56)
- SOME NATURAL BIGRADED Sn-MODULES and (1996) (50)
- Combinatorial decompositions of a class of rings (1981) (50)
- Some Natural Bigraded S_n-Modules and q,t-Kostka Coefficients. (1996) (49)
- Orthogonality of Milne's polynomials and raising operators (1992) (45)
- Existence of Almost Everywhere Convergent Rearrangements for Fourier Series of L 2 Functions (1964) (42)
- The Saga of Reduced Factorizations of Elements of the Symmetric Group (2001) (40)
- On a Convex Function Inequality for Martingales (1973) (38)
- On the “maj” and “inv” q-analogues of Euierian polynomials (1979) (38)
- On certain spaces of harmonic polynomials (1991) (37)
- Plethystic Formulas and Positivity for q,t -Kostka Coefficients (1998) (36)
- A new expression for umbral operators and power series inversion (1977) (35)
- A Randomq, t-Hook Walk and a Sum of Pieri Coefficients (1998) (34)
- Combinatorics of Tesler matrices in the Theory of Parking Functions and Diagonal Harmonics (2012) (33)
- Factorizations of Pieri rules for Macdonald polynomials (1995) (30)
- A Proof of the Delta Conjecture When q=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{q=0}$$\end{document} (2017) (30)
- A remarkable q, t-Catalan sequence and q-Lagrange inversion (1996) (29)
- Character Polynomials, their q-Analogs and the Kronecker Product (2009) (26)
- Combinatorial inequalities and smoothness of functions (1976) (24)
- Symmetric functions and raising operators (1981) (22)
- An imbedding of closedRiemann surfaces inEuclidean space (1961) (22)
- Multiple Left Regular Representations Generated by Alternants (2000) (22)
- Some remarkable new plethystic operators in the theory of Macdonald polynomials (2014) (22)
- Some natural bigraded S_n-modules (1996) (22)
- A note on the mean value property (1962) (21)
- Higher dimensional polynomials of binomial type and formal power series inversion (1978) (21)
- On some extremal positive definite functions. (1969) (20)
- Combinatorial aspects of skew representations of the symmetric group (1989) (19)
- Constant Term Methods in the Theory of Tesler Matrices and Macdonald Polynomial Operators (2014) (18)
- Qsym over Sym is free (2003) (18)
- An embedding of Riemann surfaces of genus one (1961) (17)
- The Burgess Davis inequalities via Fefferman's inequality (1973) (17)
- THE CALCULATION OF CONFORMAL PARAMETERS FOR SOME IMBEDDED RIEMANN SURFACES (1960) (15)
- Homomorphisms between Solomon's descent algebras (1992) (15)
- Some new applications of the Stanley-Macdonald Pieri Rules (2014) (15)
- On the conformal types of algebraic surfaces of euclidean space (1962) (13)
- A note on passing from a quasi-symmetric function expansion to a Schur function expansion of a symmetric function (2018) (12)
- Kronecker coefficients via Symmetric Functions and Constant Term Identities (2012) (12)
- Sergeev's formula and the littlewood—richardson rule (1990) (12)
- Breakthroughs in the theory of Macdonald polynomials. (2005) (12)
- The case $k=2$ of the Shuffle Conjecture (2011) (11)
- Zonal polynomials and domino tableaux (1992) (11)
- Asymptotic behavior of successive coefficients of some power series (1962) (11)
- Invariants, Kronecker products, and combinatorics of some remarkable Diophantine systems (2008) (11)
- A new plethystic symmetric function operator and the rational compositional shuffle conjecture at t = 1/q (2015) (11)
- Combinatorics of labelled parallelogram polyominoes (2013) (10)
- $e$-Positivity Results and Conjectures (2019) (9)
- The non-degeneracy of the bilinear form of m-Quasi-Invariants (2006) (9)
- A Polynomial Expression for the Character of Diagonal Harmonics (2015) (9)
- A three shuffle case of the compositional parking function conjecture (2012) (9)
- Inverting the Rational Sweep Map (2016) (8)
- r-Qsym is free over Sym (2007) (8)
- Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials (2009) (8)
- Some Tauberian theorems and the asymptotic behavior of probabilities of recurrent events (1963) (8)
- Dinv and Area (2016) (8)
- Raising operators and Young's rule (1986) (8)
- Five-term relation and Macdonald polynomials (2016) (8)
- Some properties of the measures on function spaces induced by Gaussian processes (1968) (7)
- On functions satisfying the mean value property with respect to a product measure (1966) (7)
- Polynomiality of the q, t-Kostka revisited (2000) (7)
- A new “dinv” arising from the two part case of the shuffle conjecture (2012) (7)
- A Proof of the Delta Conjecture When $$\varvec{q=0}$$q=0 (2019) (6)
- Some bounds on best uniform linear approximation (1965) (6)
- Multiple Left Regular Representations Generated by Alternants Dedicated to the Memory of Gian-carlo Rota (2000) (6)
- A kicking basis for the two-column Garsia-Haiman modules (2009) (6)
- A New Recursion in the Theory of Macdonald Polynomials (2012) (5)
- More about the maximal ergodic lemma of brunel. (1967) (5)
- Imbeddings of some closed Riemann surfaces by canal surfaces (1960) (5)
- Young’s Seminormal Representation, Murphy Elements, and Content Evaluations (2020) (4)
- Some new Applications of Orbit Harmonics by (2004) (4)
- Fibonacci polynomials (2020) (4)
- Proof of the 2-part compositional shuffle conjecture (2014) (3)
- Harmonics for Deformed Steenrod Operators (2008) (3)
- Pebbles and Expansions in the Polynomial Ring (2002) (3)
- A Combinatorial View of Andrews' Proof of the L-M-W Conjectures (1985) (3)
- Combinatorial aspects of the Baker-Akhiezer functions for S2 (2004) (2)
- Lectures in Algebraic Combinatorics (2020) (2)
- On the sweep map for fuss rational Dyck paths (2018) (2)
- Exploring a Delta Schur Conjecture (2018) (2)
- Lessons in Enumerative Combinatorics (2021) (2)
- Alfred Young’s Construction of the Irreducible Representations of S n (2020) (2)
- A Proof the Functional Equation Conjecture (2018) (2)
- Heaps, Continued Fractions, and Orthogonal Polynomials (2020) (2)
- On surfaces with a rectilinear geodesic circle (1957) (1)
- Some new symmetric function tools and their applications (2019) (1)
- Cayley Trees (2021) (1)
- Explicit formulas for a sequence of binary tree polynomials (2013) (1)
- Adriano Garsia Interview January 17, 1978 (1978) (0)
- Basics on Finite Fields (2020) (0)
- A new “dinv” arising from the two part case of the shuffle conjecture (2012) (0)
- Some New Methods in the Theory of m-Quasi-Invariants (2005) (0)
- Elementary Problems: E3367-E3372 (1990) (0)
- Matching and Distinct Representatives (2021) (0)
- A. Garsia Young Seminormal Representation Murphy Elements and Content Evaluations (2003) (0)
- Combinatorial Aspects of the Baker-Akhiezer functions for S 2 by (0)
- Hilbert Series of Invariants, Constant terms (2007) (0)
- Basic Combinatorial Structures (2021) (0)
- Positive orthonormal systems (1970) (0)
- A Polynomial Expression for the Character of Diagonal Harmonics (2015) (0)
- A new proof of Beurling's theorem on the spectrum of bounded functions on the real axis (1963) (0)
- On Finite Dimensional $$\mathfrak {sl}(2)$$ Representations and an Application to Algebraic Combinatorics (2020) (0)
- Kronecher powers and character polynomials (2009) (0)
- via Symmetric Functions and Constant Term identities (2010) (0)
- Method for constructing b ections for classical partition identities ( Rogers-Ramanujan identities / invokltion / labeled graph ) (0)
- Graphs, Chromatic Polynomials, and Acyclic Orientations (2021) (0)
- Galoisian Galois Theory (2022) (0)
- Some Models of Explosive Line Detonators (1960) (0)
- A basis for the Diagonal Harmonic Alternants (2022) (0)
- Exponential Structures and Polynomial Operators (2021) (0)
- Macdonald's Polynomials (0)
- WITH RESPECT TO A PRODUCT MEASURE (2016) (0)
- A New Recursion in the Theory of Macdonald Polynomials (2011) (0)
- The “ moment ” scalar product (2020) (0)
- The Inclusion-Exclusion Principle (2021) (0)
- Harmonics for deformed Steenrod operators (Extended Abstract) (2010) (0)
- Partitions and Generating Functions (2021) (0)
- Planar Trees and the Lagrange Inversion Formula (2021) (0)
- Constant Term Methods in the Theory of Tesler Matrices and Macdonald Polynomial Operators (2013) (0)
- Robinson-Schensted Algorithms Obtained from Tableau Recursions (2022) (0)
- The Cayley–Hamilton Theorem (2021) (0)
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