Research statement
Ensure that: The first sentence of each paragraph contains enough information to understand the main message there. You highlight your personal contribution.
Past research
For each research topic, summarise the work in a couple of paragraphs: First paragraph: short introduction about the problem and its relevance. This should state the impact of each piece of work in general (why this is interesting). Second: how you tackled the problem with your work. State the particular impact of your contribution (Optional) Third: future or how to continue that work.
Future research
La estructura de cada sección sería parecida: cuál es el problema y por qué es interesante; qué quieres hacer; cómo lo vas a hacer y qué impacto esperas que tenga lo que propones.