Adriano M. Garsia

University of California San Diego — United States

Mathematics · Physical Sciences

40h-index5.5kcitations166works3.02yr avg
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Research Topics

Advanced Combinatorial Mathematics(86), Algebraic structures and combinatorial models(51), Advanced Mathematical Identities(43), Advanced Algebra and Geometry(31), Mathematics and Applications(16)

Publications166 total

Fibonacci polynomials
Pure and Applied Mathematics Quarterly·2024· 3 cited
A basis for the Diagonal Harmonic Alternants
arXiv (Cornell University)·2022· 1 citedOpen Access
Robinson-Schensted Algorithms Obtained from Tableau Recursions
arXiv (Cornell University)·2022Open Access
Planar Trees and the Lagrange Inversion Formula
Graduate texts in mathematics·2021· 1 cited
The Inclusion-Exclusion Principle
Graduate texts in mathematics·2021
Matching and Distinct Representatives
Graduate texts in mathematics·2021· 1 cited
The Cayley–Hamilton Theorem
Graduate texts in mathematics·2021· 4 cited
Lessons in Enumerative Combinatorics
Graduate texts in mathematics·2021· 12 cited
Exponential Structures and Polynomial Operators
Graduate texts in mathematics·2021
Cayley Trees
Graduate texts in mathematics·2021
Basic Combinatorial Structures
Graduate texts in mathematics·2021
Graphs, Chromatic Polynomials, and Acyclic Orientations
Graduate texts in mathematics·2021
Partitions and Generating Functions
Graduate texts in mathematics·2021
Fibonacci polynomials
arXiv (Cornell University)·2020Open Access
On the sweep map for fuss rational Dyck paths
Advances in Applied Mathematics·2020
Heaps, Continued Fractions, and Orthogonal Polynomials
Lecture notes in mathematics·2020· 1 cited
Lectures in Algebraic Combinatorics
Lecture notes in mathematics·2020· 6 cited
Basics on Finite Fields
Lecture notes in mathematics·2020
On Finite Dimensional $$\mathfrak {sl}(2)$$ Representations and an Application to Algebraic Combinatorics
Lecture notes in mathematics·2020
Young’s Seminormal Representation, Murphy Elements, and Content Evaluations
Lecture notes in mathematics·2020· 1 cited
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Frequent Co-authors

Mark Haiman(7), François Bergeron(5), Glenn Tesler(4), E. R. Rodemich(3), J. Haglund(2), Jeffrey B. Remmel(2), Stephen C. Milne(2), J. B. Remmel(2), Nantel Bergeron(2), Guoce Xin(2), Howard Rumsey(1), And M. Haiman(1), Claudio Procesi(1), Christophe Reutenauer(1), Ira M. Gessel(1), Anders Björner(1), Richard P. Stanley(1), John Lamperti(1), Michelle L. Wachs(1), Dennis Stanton(1)