Fibonacci polynomials
A. Garsia, G. Ganzberger · 2024 · Pure and Applied Mathematics Quarterly 20, 1285-1312
A basis for the Diagonal Harmonic Alternants
A. Garsia, M. Zabrocki · 2022 · arXiv preprint
Robinson-Schensted Algorithms Obtained from Tableau Recursions
A. M. Garsia, T. J. McLarnan · 2022 · arXiv preprint
Lessons in Enumerative Combinatorics
Ö. Eğecioğlu, A. M. Garsia · 2021 · Developments in Mathematics 290, Springer
The diagonal harmonics of Sn
A. M. Garsia, M. Romero, N. Wallach · 2021 · unpublished draft
Lectures in Algebraic Combinatorics: Young's Construction, Seminormal Representations, sl(2) Representations, Heaps, Basics on Finite Fields
A. M. Garsia, Ö. Eğecioğlu · 2020 · Springer
On the sweep map for fuss rational Dyck paths
A. M. Garsia, G. Xin · 2020 · Advances in Applied Mathematics 116, 101998
A proof of the Delta Conjecture when q=0
A. M. Garsia, J. Haglund, J. Remmel, M. Yoo · 2019 · Annals of Combinatorics 23, 317-333
e-Positivity Results and Conjectures
A. M. Garsia, J. Haglund, D. Qiu, M. Romero · 2019 · arXiv preprint
Exploring a Delta Schur Conjecture
A. Garsia, J. Liese, J. B. Remmel, M. Yoo · 2019 · Journal of Combinatorics 10, 633-653
Five-term relation and Macdonald polynomials
A. Garsia, A. Mellit · 2019 · Journal of Combinatorial Theory, Series A 163, 182-194
Some new symmetric function tools and their applications
A. Garsia, J. Haglund, M. Romero · 2019 · Journal of Combinatorics 10, 655-674
A note on passing from a quasi-symmetric function expansion to a Schur function expansion of a symmetric function
A. Garsia, J. Remmel · 2018 · arXiv preprint
A Proof the Functional Equation Conjecture
A. Garsia, A. Hicks, G. Xin · 2018 · arXiv preprint
Ansatz for (-1)n-1∇pn
S. D. Banerjee, M. B. Can, A. Garsia · 2018 · arXiv preprint
Inverting the rational sweep map
A. Garsia, G. Xin · 2018 · Journal of Combinatorics 9, 659-679
A new plethystic symmetric function operator and the rational compositional shuffle conjecture at t = 1/q
A. Garsia, E. S. Leven, N. Wallach, G. Xin · 2017 · Journal of Combinatorial Theory, Series A 145, 57-100
Dinv and Area
A. Garsia, G. Xin · 2017 · The Electronic Journal of Combinatorics 24(1), #P1.64
Compositional (km, kn)-Shuffle Conjectures
F. Bergeron, A. Garsia, E. S. Leven, G. Xin · 2016 · International Mathematics Research Notices 2016(14), 4229-4270
Some new applications of the Stanley-Macdonald Pieri rules
A. Garsia, J. Haglund, G. Xin, M. Zabrocki · 2016 · The Mathematical Legacy of Richard P. Stanley, 141-168
Some remarkable new plethystic operators in the theory of Macdonald polynomials
F. Bergeron, A. Garsia, E. S. Leven, G. Xin · 2016 · Journal of Combinatorics 7(4), 671-714
A polynomial expression for the character of diagonal harmonics
A. M. Garsia, J. Haglund · 2015 · Annals of Combinatorics 19, 693-703
Combinatorics of labelled parallelogram polyominoes
J.-C. Aval, F. Bergeron, A. Garsia · 2015 · Journal of Combinatorial Theory, Series A 132, 32-57
A three shuffle case of the compositional parking function conjecture
A. M. Garsia, G. Xin, M. Zabrocki · 2014 · Journal of Combinatorial Theory, Series A 123, 202-238
Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators
A. M. Garsia, J. Haglund, G. Xin · 2014 · Annals of Combinatorics 18, 83-109
Proof of the 2-part Compositional Shuffle Conjecture
A. M. Garsia, G. Xin, M. Zabrocki · 2014 · Progress in Mathematics: Symmetry, Representation Theory and Its Applications, 227-257
A new ‘dinv’ arising from the two part case of the Shuffle Conjecture
A. Duane, A. M. Garsia, M. Zabrocki · 2013 · Journal of Algebraic Combinatorics 37, 683-715
Explicit formulas for a sequence of binary tree polynomials
M. D’Adderio, A. M. Garsia · 2013 · Theoretical Computer Science 502, 217-226
A new recursion in the theory of Macdonald polynomials
A. M. Garsia, J. Haglund · 2012 · Annals of Combinatorics 16, 77-106
Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics
D. Armstrong, A. Garsia, J. Haglund, B. Rhoades, B. Sagan · 2012 · Journal of Combinatorics 3, 451-494
Hall-Littlewood Operators in the Theory of Parking Functions and Diagonal Harmonics
A. M. Garsia, G. Xin, M. Zabrocki · 2012 · International Mathematics Research Notices 2012(6), 1264-1299
Kronecker coefficients via symmetric functions and constant term identities
A. Garsia, N. Wallach, G. Xin, M. Zabrocki · 2012 · International Journal of Algebra and Computation 22, 1250022
The case k=2 of the Shuffle Conjecture
A. Garsia, A. Hicks, A. Stout · 2011 · Journal of Combinatorics 2, 193-229
Harmonics for deformed Steenrod operators
F. Bergeron, A. Garsia, N. Wallach · 2010 · FPSAC'2010, DMTCS Proceedings, 11 pages
Permutation q-enumeration with the Schur row adder
A. M. Garsia · 2010 · Pure Math. Appl. 21, 233-248
A kicking basis for the two column Garsia-Haiman modules
S. Assaf, A. Garsia · 2009 · FPSAC 2009, Discrete Math. Theor. Comput. Sci. Proc. AK, 103-114
Character polynomials, their q-analogs and the Kronecker product
A. M. Garsia, A. Goupil · 2009 · Electronic Journal of Combinatorics 16(2), Research Paper 19
Hilbert series of invariants, constant terms and Kostka-Foulkes polynomials
A. Garsia, N. Wallach, G. Xin, M. Zabrocki · 2009 · Discrete Mathematics 309, 5206-5230
Invariants, Kronecker products and combinatorics of some remarkable Diophantine systems
A. Garsia, G. Musiker, N. Wallach, G. Xin · 2009 · Advances in Applied Mathematics 42, 392-421
r-Qsym is free over Sym
A. M. Garsia, N. Wallach · 2007 · Journal of Combinatorial Theory, Series A 114, 704-732
The non-degeneracy of the bilinear form for m-quasi-invariants
A. M. Garsia, N. Wallach · 2006 · Advances in Applied Mathematics 37, 309-359
Breakthroughs in the theory of Macdonald polynomials
A. Garsia, J. B. Remmel · 2005 · Proceedings of the National Academy of Sciences 102, 3891-3894
Some new applications of orbit harmonics
A. M. Garsia, N. Wallach · 2005 · Sem. Lothar. Combin. 50, Article B50j
Some new methods in the theory of m-quasi-invariants
J. Bell, A. M. Garsia, N. Wallach · 2005 · The Electronic Journal of Combinatorics 11
Combinatorial aspects of the Baker-Akhiezer functions for S2
A. M. Garsia, N. Wallach · 2004 · European Journal of Combinatorics 25, 1231-1262
Shift differential operators in the theory of m-quasi-invariants
A. M. Garsia, N. Wallach · 2004
Some old methods in the theory of m-quasi-invariants
A. M. Garsia, N. Wallach · 2004 · unpublished draft
Pebbles and expansions in the polynomial ring
A. Garsia · 2003 · Polynomial Identities And Combinatorial Methods
Qsym over Sym is free
A. M. Garsia, N. Wallach · 2003 · Journal of Combinatorial Theory, Series A 104, 217-263
A proof of the q,t-Catalan positivity conjecture
A. M. Garsia, J. Haglund · 2002 · Discrete Mathematics 256, 677-717
The saga of reduced factorizations of elements of the symmetric group
A. M. Garsia · 2002 · Publications du LACIM 29
A positivity result in the theory of Macdonald polynomials
A. M. Garsia, J. Haglund · 2001 · Proceedings of the National Academy of Sciences 98, 4313-4316
Explicit plethystic formulas for Macdonald q,t-Kostka coefficients
A. M. Garsia, M. Haiman, G. Tesler · 2001 · The Andrews Festschrift, 253-297
Polynomiality of the q,t-Kostka revisited
A. M. Garsia, M. Zabrocki · 2001 · Algebraic Combinatorics and Computer Science, 473-491
Multiple left regular representations associated with alternants of the symmetric group
F. Bergeron, A. Garsia, G. Tesler · 2000 · Journal of Combinatorial Theory, Series A 91, 49-83
Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
F. Bergeron, A. M. Garsia, M. Haiman, G. Tesler · 1999 · Methods and Applications of Analysis 6, 363-420
Lattice diagram polynomials and extended Pieri rules
F. Bergeron, N. Bergeron, A. M. Garsia, M. Haiman, G. Tesler · 1999 · Advances in Mathematics 142, 244-334
A random q,t-hook walk and a sum of Pieri coefficients
A. M. Garsia, M. Haiman · 1998 · Journal of Combinatorial Theory, Series A 82, 74-111
A remarkable q,t-Catalan sequence and q-Lagrange inversion
A. M. Garsia, M. Haiman · 1996 · Journal of Algebraic Combinatorics 5, 191-244
Plethystic formulas for Macdonald q,t-Kostka coefficients
A. M. Garsia, G. Tesler · 1996 · Advances in Mathematics 123, 144-222
Science fiction and Macdonald's polynomials
F. Bergeron, A. M. Garsia · 1996 · CRM Proc. Lecture Notes, Amer. Math. Soc.
Some Natural Bigraded Sn-Modules
A. M. Garsia, M. Haiman · 1996 · Electron. J. Combin. 3(2), 561-620
Factorizations of Pieri rules for Macdonald polynomials
A. M. Garsia, M. Haiman · 1995 · Discrete Mathematics 139, 219-256
A graded representation model for Macdonald's polynomials
A. M. Garsia, M. Haiman · 1993 · Proceedings of the National Academy of Sciences 90, 3607-3610
Homomorphisms between Solomon's descent algebras
F. Bergeron, A. Garsia, C. Reutenauer · 1992 · Journal of Algebra 150, 503-519
On certain graded Sn-modules and the q-Kostka polynomials
A. M. Garsia, C. Procesi · 1992 · Advances in Mathematics 94, 82-138
On certain spaces of harmonic polynomials
N. Bergeron, A. M. Garsia · 1992 · Contemp. Math. 138, 51-86
Orthogonality of Milne's polynomials and raising operators
A. M. Garsia · 1992 · Discrete Mathematics 99, 247-264
Recent progress on the Macdonald q,t-Kostka conjecture
A. M. Garsia · 1992 · Actes du 4e Colloque sur les Series Formelles et Combinatoire Algebrique, LACIM, UQAM, Montreal, 249-255
Zonal polynomials and domino tableaux
N. Bergeron, A. M. Garsia · 1992 · Discrete Mathematics 99, 3-15
Combinatorics of the free Lie algebra and the symmetric group
A. M. Garsia · 1990 · Analysis, et Cetera, 309-382
Idempotents for the free Lie algebra and q-enumeration
F. Bergeron, N. Bergeron, A. M. Garsia · 1990 · Invariant Theory and Tableaux, IMA Volumes in Math. and its Appl. 19, Springer-Verlag 19, 166-190
Sergeev's formula and the Littlewood-Richardson rule
N. Bergeron, A. M. Garsia · 1990 · Linear and Multilinear Algebra 27, 79-100
A decomposition of Solomon's descent algebra
A. M. Garsia, C. Reutenauer · 1989 · Adv. Math. 77, 189-262
Combinatorial aspects of skew representations of the symmetric group
A. M. Garsia, M. L. Wachs · 1989 · Journal of Combinatorial Theory, Series A 50, 47-81
Relations between Young's natural and the Kazhdan-Lusztig representations of Sn
A. M. Garsia, T. J. McLarnan · 1988 · Advances in Mathematics 69, 32-92
A novel form of q-Lagrange inversion
A. M. Garsia, J. Remmel · 1986 · Houston J. Math. 12
q-counting rook placements and a formula of Frobenius
A. M. Garsia, J. B. Remmel · 1986 · Journal of Combinatorial Theory, Series A 41, 246-275
Raising operators and Young's rule
A. M. Garsia · 1986 · Lecture Notes in Mathematics 1234, 91-105
A combinatorial view of Andrews' proof of the L-M-W conjectures
A. M. Garsia, J. Remmel · 1985 · European Journal of Combinatorics 6, 335-352
Shuffles of permutations and the Kronecker product
A. M. Garsia, J. Remmel · 1985 · Graphs and Combinatorics 1, 217-263
Algorithms for plethysm
Y. M. Chen, A. M. Garsia, J. Remmel · 1984 · Contemporary Mathematics 34, 109-153
Group actions on Stanley-Reisner rings and the construction of invariants
A. M. Garsia, D. Stanton · 1984 · Advances in Mathematics 51, 107-201
An introduction to Cohen-Macaulay partially ordered sets
A. Björner, A. M. Garsia, R. P. Stanley · 1982 · Ordered Sets, 583-615
A q-analogue of the Lagrange inversion formula
A. M. Garsia · 1981 · Houston J. Math. 7, 205-237
A Rogers-Ramanujan bijection
A. M. Garsia, S. C. Milne · 1981 · Journal of Combinatorial Theory, Series A 31, 289-339
Combinatorial decompositions of a class of rings
K. Baclawski, A. M. Garsia · 1981 · Advances in Mathematics 39, 155-184
Method for constructing bijections for classical partition identities
A. M. Garsia, S. C. Milne · 1981 · Proceedings of the National Academy of Sciences 78, 2026-2028
Symmetric functions and raising operators
A. M. Garsia, J. Remmel · 1981 · Linear and Multilinear Algebra 10, 15-43
A combinatorial interpretation of q-derangement and q-Laguerre numbers
A. M. Garsia, J. Remmel · 1980 · European Journal of Combinatorics 1, 47-59
Combinatorial methods in the theory of Cohen-Macaulay rings
A. M. Garsia · 1980 · Advances in Mathematics 38, 229-266
Composition sequences
A. M. Garsia, S. A. Joni · 1980 · Comm. Algebra 8, 1195-1266
A combinatorial approach to Mehler's formulas for Hermite polynomials
D. Foata, A. M. Garsia · 1979 · Proceedings of Symposia in Pure Mathematics 34, 163-179
Methodes combinatoires dans la theorie des anneaux de Cohen-Macaulay
A. M. Garsia · 1979 · C. R. Acad. Sci. Paris, Ser. A 288, 371-374
On the "maj" and "inv" q-analogues of Eulerian polynomials
A. M. Garsia · 1979 · Linear and Multilinear Algebra 8, 21-34
On the raising operators of A. Young
A. M. Garsia, J. Remmel · 1979 · Proceedings of Symposia in Pure Mathematics 34, 181-198
Permutation statistics and partitions
A. M. Garsia, I. Gessel · 1979 · Advances in Mathematics 31, 288-305
Higher dimensional polynomials of binomial type and formal power series inversion
A. M. Garsia, S. A. Joni · 1978 · Communications in Algebra 6, 1187-1215
Some combinatorial methods in real analysis
A. M. Garsia · 1978 · Proc. Int. Congress of Mathematicians, Helsinki, 331-340
A new algorithm for minimum cost binary trees
A. M. Garsia, M. L. Wachs · 1977 · SIAM Journal on Computing 6, 622-642
A new expression for umbral operators and power series inversion
A. M. Garsia, S. A. Joni · 1977 · Proc. Amer. Math. Soc. 64, 179-185
A remarkable inequality and the uniform convergence of Fourier series
A. M. Garsia · 1976 · Indiana Univ. Math. J. 25, 85-102
Combinatorial inequalities and the smoothness of functions
A. M. Garsia · 1976 · Bulletin of the American Mathematical Society 82, 157-170
The monotonicity of certain functionals under rearrangement
A. Garsia, E. Rodemich · 1974 · Annales de l'Institut Fourier 24, 67-116
An expose of the Mullin-Rota theory of polynomials of binomial type
A. M. Garsia · 1973 · Linear and Multilinear Algebra 1, 47-65
Martingale inequalities: Seminar notes on recent progress
A. M. Garsia · 1973 · W. A. Benjamin, Math. Lecture Note Series (184 pp.)
On a convex function inequality for martingales
A. M. Garsia · 1973 · The Annals of Probability 1, 171-174
The Burgess-Davis inequalities via Fefferman's inequality
A. M. Garsia · 1973 · Arkiv för Matematik 11, 229-237
Continuity properties of Gaussian processes with a multidimensional time parameter
A. M. Garsia · 1972 · Probability Theory, 369-374
A real variable lemma and the continuity of paths of some Gaussian processes
A. Garsia, E. Rodemich, H. Rumsey · 1970 · Indiana University Mathematics Journal 20, 565-578
On the smoothness of functions satisfying certain integral inequalities
A. M. Garsia · 1970 · Proc. Functional Analysis Symposium, Academic Press, 127-162
Positive orthonormal systems
A. M. Garsia, C. A. Greenhall · 1970 · Acta Mathematica Academiae Scientiarum Hungaricae 21, 47-63
Topics in almost everywhere convergence
A. M. Garsia · 1970 · Markham, Chicago (research monograph, 154 pp.)
On some extremal positive definite functions
A. M. Garsia, E. Rodemich, H. Rumsey · 1969 · J. Math. Mech. 18, 805-834
Combinatorial inequalities and convergence of some orthonormal expansions and their continuous analogues
A. M. Garsia · 1968 · S.I.U. Press, 75-91
Some properties of the measures on function spaces induced by Gaussian processes
A. M. Garsia, E. C. Posner, E. R. Rodemich · 1968 · Journal of Mathematical Analysis and Applications 21, 150-161
More about the maximal ergodic lemma of Brunel
A. M. Garsia · 1967 · Proceedings of the National Academy of Sciences 57, 21-24
On functions satisfying the mean value property with respect to a product measure
A. M. Garsia, E. Rodemich · 1966 · Proceedings of the American Mathematical Society 17, 592-594
A simple proof of Hopf's maximal ergodic theorem
A. M. Garsia · 1965 · J. Math. Mech. 14, 381-382
Some bounds on best uniform linear approximation
A. M. Garsia · 1965 · Numerische Mathematik 7, 197-205
Existence of almost everywhere convergent rearrangements for Fourier series of L2 functions
A. M. Garsia · 1964 · The Annals of Mathematics 79, 623
On some classes of continuous functions with convergent Fourier series
A. M. Garsia, S. Sawyer · 1964 · J. Math. Mech. 13, 589-602
A new proof of Beurling's theorem on the spectrum of bounded functions on the real axis
A. M. Garsia · 1963 · Journal of Mathematical Analysis and Applications 7, 436-439
Entropy and singularity of infinite convolutions
A. Garsia · 1963 · Pacific Journal of Mathematics 13, 1159-1169
Some Tauberian theorems and the asymptotic behavior of probabilities of recurrent events
A. M. Garsia · 1963 · Journal of Mathematical Analysis and Applications 7, 146-162
A discrete renewal theorem with infinite mean
A. Garsia, J. Lamperti · 1962 · Commentarii Mathematici Helvetici 37, 221-234
A note on the mean value property
A. M. Garsia · 1962 · Transactions of the American Mathematical Society 102, 181-186
Arithmetic properties of Bernoulli convolutions
A. M. Garsia · 1962 · Transactions of the American Mathematical Society 102, 409-432
Asymptotic behavior of successive coefficients of some power series
A. M. Garsia, S. Orey, E. Rodemich · 1962 · Illinois Journal of Mathematics 6, 620-629
On the conformal types of algebraic surfaces of Euclidean space
A. M. Garsia · 1962 · Commentarii Mathematici Helvetici 37, 49-60
An embedding of Riemann surfaces of genus one
A. Garsia, E. Rodemich · 1961 · Pacific Journal of Mathematics 11, 193-204
An imbedding of closed Riemann surfaces in Euclidean space
A. M. Garsia · 1961 · Comment. Math. Helv. 35, 93-110
Imbeddings of some closed Riemann surfaces by canal surfaces
A. Garsia · 1960 · Rendiconti del Circolo Matematico di Palermo 9, 313-333
Some models of explosive line detonators
A. Garsia · 1960 · Journal of Mathematics and Physics 39, 54-57
The calculation of conformal parameters for some imbedded Riemann surfaces
A. Garsia · 1960 · Pacific Journal of Mathematics 10, 121-165
On surfaces with a rectilinear geodesic circle
A. Garsia · 1958 · Annali di Matematica Pura ed Applicata 46, 201-213
On Surfaces with a Rectilinear Geodesic Circle
A. M. Garsia · 1957 · PhD Thesis, Stanford University
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