2 citations · 5 across the 7 of their papers we have counts for
9 papers
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
Interpolation polynomials, bar monomials, and their positivity
Yusra Naqvi, Siddhartha Sahi, Emily Sergel
We prove a positivity result for interpolation polynomials that was conjectured by Knop and Sahi. These polynomials were first introduced by Sahi in the context of the Capelli eige…
Schedules and the Delta Conjecture
James Haglund, Emily Sergel
In a recent preprint, Carlsson and Oblomkov (2018) obtain a long sought after monomial basis for the ring of diagonal coinvariants. Their basis is closely rel…
The asymptotic normality of -cores with distinct parts
János Komlós, Emily Sergel, Gábor Tusnády
Simultaneous core partitions are important objects in algebraic combinatorics. Recently there has been interest in studying the distribution of sizes among all -cores for co…
A combinatorial model for
Emily Sergel
The modified Macdonald polynomials introduced by Garsia and Haiman (1996) have many remarkable combinatorial properties. One such class of properties involves applying the …
On the Schur positivity of
Dun Qiu, Jeffrey B. Remmel, Emily Sergel +1
Let denote the set of non-negative integers. Haglund, Wilson, and the second author have conjectured that the coefficient of any Schur function in $Δ_{e_k} e_…
A generalized major index statistic on tableaux
James Haglund, Emily Sergel
We extend the family of statistics maj_d, introduced for permutations by Kadell (1985), to standard Young tableaux. At one extreme, we have the traditional Major index statistic ma…
A proof of the Square Paths Conjecture
Emily Sergel Leven
The modified Macdonald polynomials, introduced by Garsia and Haiman (1996), have many astounding combinatorial properties. One such class of properties involves applying the relate…
Noncommutative Biorthogonal Polynomials
Emily Sergel
The idea of orthogonal polynomials has been generalized in two ways to achieve new types of polynomials: noncommutative orthogonal polynomials and biorthogonal polynomials. This pa…