CM liftings of Supersingular Elliptic Curves

Assuming GRH, we present an algorithm which inputs a prime $p$ and outputs the set of fundamental discriminants $D<0$ such that the reduction map modulo a prime above $p$ from elliptic curves with CM by \order_{D} to supersingular elliptic curves in characteristic $p$. In the algorithm we first determine an explicit constant $D_p$ so that $|D|> D_p$ implies that the map is necessarily surjective and then we compute explicitly the cases $|D|<D_p$.Comment: 26 pages, 10 table

The effect of public communication campaigns on family communication and behaviour : a thesis presented in partial fulfilment of the requirements for the degree of Masters of Business Studies in Communication Management at Massey University

This thesis examines how mass communicated messages from a public communication campaign affect interpersonal communication within families. It also considers how interpersonal communication among family members flows on to affect behaviours in the family. The study uses McDevitt and Chaffee's five-stage sequence of behavioural activation within families to examine two pro-environmental campaigns: the Big Clean Up and Clean Up NZ. Seven families exposed to the messages of the communication campaigns were interviewed to gain an understanding of what communication process occurred as a result of these interventions. "Downward" (parent to child), and "upward" (child to parent) flows of communication were examined. The results suggest that communication among family members has a substantial bearing on a family's behavioural response to campaign messages. However, the person who engenders the discussions also plays a major role in the success or otherwise of the communication outcomes. The campaign messages had different effects on children than they did on parents. There were no significant behaviour changes in families where the parent was the initial message receiver; however where the child provided the initial intervention behaviour changes tended to occur. While children received new information, and developed new behaviours based on the campaign messages, parents tended to have existing beliefs and patterns of behaviour endorsed. The relationship between interpersonal family communication, campaign messages and changes in behaviour has implications for communicators developing campaigns that aim to change behaviour

Popular education, ‘so we stand’ and the 'triple self-diagnosis'

With funding from the Economic and Social Research Council, a novel project has taken place over the last two years under the title ‘Using Popular Education in Anti-Poverty and Environmental Justice Organising: Bridging Constituencies, Building Movements, and Crossing Disciplines’. The aim was not just to take a popular education approach to promoting social change but also to make learning about popular education a central part of the process

A Pseudorandom Generator for Polynomial Threshold Functions of Gaussian with Subpolynomial Seed Length

We develop a pseudorandom generator that fools degree-$d$ polynomial threshold functions in $n$ variables with respect to the Gaussian distribution and has seed length $O_{c,d}(\log(n) \epsilon^{-c})$