Zobrazeno 1 - 10
of 7 212
pro vyhledávání: '"Cullinan A"'
Autor:
Barrios, Alexander, Cullinan, John
Let $\ell$ be an odd prime, and suppose $E$ is an elliptic curve defined over the rational numbers $\mathbb{Q}$. If $E$ has an $\ell$-torsion point, then there has been significant work done on characterizing the $\ell$-divisibility of the global Tam
Externí odkaz:
http://arxiv.org/abs/2408.03419
Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Sim
Externí odkaz:
http://arxiv.org/abs/2407.09479
Autor:
Cullinan, John
Let $G$ be a finite group and $\rho:G \to \GL(V)$ a finite dimensional representation of $G$. We say that $\rho$ is unisingular if $\det(1-\rho(g)) = 0$ for all $g \in G$. Building on previous work in \cite{cullinan}, we consider the symmetric groups
Externí odkaz:
http://arxiv.org/abs/2406.16558
Autor:
Cullinan, John
Let G be a finite group. The Plesken Lie algebra L[G] is a subalgebra of the complex group algebra C[G] and admits a direct-sum decomposition into simple Lie algebras based on the ordinary character theory of G. In this paper we review the known resu
Externí odkaz:
http://arxiv.org/abs/2406.14493
At the 3 GeV ring of the MAX IV Laboratory, a fourth generation ring-based synchrotron light source, an asymmetric influence of the sign of the amplitude-dependent tune shift (ADTS) on the transverse mode-coupling instability (TMCI) has been observed
Externí odkaz:
http://arxiv.org/abs/2401.15065
Autor:
Cullinan, John, Gajek-Leonard, Rylan
We provide evidence for a conjecture of Yamamura that the truncated logarithmic polynomials \[ F_n(x) = 1 + x + \frac{x^2}{2} + \cdots + \frac{x^n}{n} \] have Galois group $S_n$ for all $n \geq 1$.
Comment: 9 pages. Submitted for publication
Comment: 9 pages. Submitted for publication
Externí odkaz:
http://arxiv.org/abs/2401.14138
Autor:
Cullinan, John, Dobson, Shanna, Frey, Linda, Hamakiotes, Asimina, Hernandez, Roberto, Kaplan, Nathan, Mello, Jorge, Scullard, Gabrielle
Let $E$ and $E'$ be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime $p$ \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq E'(\F_{p^2})$. Our main result is an explicit formula for the proporti
Externí odkaz:
http://arxiv.org/abs/2401.06250
Publikováno v:
SciPost Phys. 17, 008 (2024)
Integrable field theories in two dimensions are known to originate as defect theories of 4d Chern-Simons and as symmetry reductions of the 4d anti-self-dual Yang-Mills equations. Based on ideas of Costello, it has been proposed in work of Bittleston
Externí odkaz:
http://arxiv.org/abs/2311.17551
Autor:
Cullinan, John, Kaplan, Nathan
Let $\ell$ be a prime number and let $E$ and $E'$ be $\ell$-isogenous elliptic curves defined over a finite field $k$ of characteristic $p \ne \ell$. Suppose the groups $E(k)$ and $E'(k)$ are isomorphic, but $E(K) \not \simeq E'(K)$, where $K$ is an
Externí odkaz:
http://arxiv.org/abs/2301.09176
Autor:
Cullinan, John
The Krawtchouck polynomials arise naturally in both coding theory and probability theory and have been studied extensively from these points of view. However, very little is known about their irreducibility and Galois properties. Just like many class
Externí odkaz:
http://arxiv.org/abs/2212.07539