Jason Long

activity

20162021

most citedThe length of an s-increasing sequence of r-tuples

17 citations · 28 across the 10 of their papers we have counts for

collaborators

13 papers

math.RT2021

Sylow branching coefficients and a conjecture of Malle and Navarro

Eugenio Giannelli, Stacey Law, Jason Long +1

We prove that a finite group $G$ has a normal Sylow $p$ -subgroup $P$ if, and only if, every irreducible character of $G$ appearing in the permutation character $(1_{P})^{G}$ with…

math.CO2020★ 2 cited

Simplicial homeomorphs and trace-bounded hypergraphs

Jason Long, Bhargav Narayanan, Corrine Yap

Our first main result is a uniform bound, in every dimension $k \in N$ , on the topological Turán numbers of $k$ -dimensional simplicial complexes: for each $k \in N$ …

math.RT2020

Linear characters of Sylow subgroups of symmetric groups

Eugenio Giannelli, Stacey Law, Jason Long

Let $p$ be any prime. Let $P_{n}$ be a Sylow $p$ -subgroup of the symmetric group $S_{n}$ . Let $ϕ$ and $ψ$ be linear characters of $P_{n}$ and let $N$ be the normaliser of $P_{n}$ in $S_{n}$ .…

math.CO2020

The Brown-Erdős-Sós Conjecture for hypergraphs of large uniformity

Peter Keevash, Jason Long

We prove the well-known Brown-Erdős-Sós Conjecture for hypergraphs of large uniformity in the following form: any dense linear $r$ -graph $G$ has $k$ edges spanning at most $(r-2)k+…

math.CO2020

A universal exponent for homeomorphs

Peter Keevash, Jason Long, Bhargav Narayanan +1

We prove a uniform bound on the topological Turán number of an arbitrary two-dimensional simplicial complex $S$ : any $n$ -vertex two-dimensional complex with at least $C_S n^{3-1/5}…

math.CO2019

The extremal number of Venn diagrams

Peter Keevash, Imre Leader, Jason Long +1

We show that there exists an absolute constant $C > 0$ such that any family $F \subset {0, 1}^{n}$ of size at least $C n^{3}$ has dual VC-dimension at least 3. Equivalently, eve…