Mitchell Lee

activity

20132025

(P^{r})^{n}

and equivariant quantum cohomology

2 citations · 3 across the 7 of their papers we have counts for

collaborators

10 papers

math.CO2025

Restriction coefficients for partitions with at most three columns

Mitchell Lee

Let $r \geq 0$ , and let $λ$ and $μ$ be partitions such that $λ_{1} \leq r + 1$ . We present a combinatorial interpretation of the plethysm coefficient $⟨ s_{λ}, s_{μ} [s_{r}]⟩$ .…

math.PR2024

Central limits from generating functions

Mitchell Lee

Let $(Y_{n})_{n}$ be a sequence of $R^{d}$ -valued random variables. Suppose that the generating function \[f(x, z) = \sum_{n = 0}^\infty φ_{Y_n}(x) z^n,\] where $φ_{Y_{n}}$ is the…

math.CA2023★ 1 cited

Hermite--Hadamard inequalities for nearly-spherical domains

Noah Kravitz, Mitchell Lee

A conjecture of Pasteczka, generalizing the classical Hermite--Hadamard Inequality, states that if $Ω \subseteq R^{d}$ is a compact convex domain such that $Ω$ and $\partial…

math.CO2023

The Frobenius transform of a symmetric function

Mitchell Lee

We define an abelian group homomorphism $F$ , which we call the Frobenius transform, from the ring of symmetric functions to the ring of the symmetric power series. The ma…

math.AG2019

Equivariant Degenerations of Plane Curve Orbits

Mitchell Lee, Anand Patel, Dennis Tseng

In a series of papers, Aluffi and Faber computed the degree of the $G L_{3}$ orbit closure of an arbitrary plane curve. We attempt to generalize this to the equivariant setting by stu…

math.CO2018

Constraining Strong c-Wilf Equivalence Using Cluster Poset Asymptotics

Mitchell Lee, Ashwin Sah

Let $π \in S_{m}$ and $σ \in S_{n}$ be permutations. An occurrence of $π$ in $σ$ as a consecutive pattern is a subsequence $σ_{i} σ_{i + 1} \dots σ_{i + m - 1}$ of $σ$ wit…

math.AG2018★ 2 cited

Orbits in $(P^{r})^{n}$ and equivariant quantum cohomology

Mitchell Lee, Anand Patel, Hunter Spink +1

We compute the $G L_{r + 1}$ -equivariant Chow class of the $G L_{r + 1}$ -orbit closure of any point $(x_{1}, \dots, x_{n}) \in (P^{r})^{n}$ in terms of the rank polytope of the matroid…

math.CO2015

Sets with few differences in abelian groups

Mitchell Lee

Let $(G, +)$ be an abelian group. In 2004, Eliahou and Kervaire found an explicit formula for the smallest possible cardinality of the sumset $A + A$ , where $A \subseteq G$ has fixed…

quant-ph2014

The space "just above" BQP

Scott Aaronson, Adam Bouland, Joseph Fitzsimons +1

We explore the space "just above" BQP by defining a complexity class PDQP (Product Dynamical Quantum Polynomial time) which is larger than BQP but does not contain NP relative to a…

math.CO2013

Graham's Number is Less Than 2^^^6

Mikhail Lavrov, Mitchell Lee, John Mackey

In [5] Graham and Rothschild consider a geometric Ramsey problem: finding the least n such that if all edges of the complete graph on the points {+1,-1}^n are 2-colored, there exis…

Restriction coefficients for partitions with at most three columns

Central limits from generating functions

Hermite--Hadamard inequalities for nearly-spherical domains

The Frobenius transform of a symmetric function

Equivariant Degenerations of Plane Curve Orbits

Constraining Strong c-Wilf Equivalence Using Cluster Poset Asymptotics

Orbits in (Pr)n and equivariant quantum cohomology

Sets with few differences in abelian groups

The space "just above" BQP

Graham's Number is Less Than 2^^^6

Orbits in $(P^{r})^{n}$ and equivariant quantum cohomology