Patrick Spencer: Some advice for the new Conservative leader. Stick to these three ideas to boost productivity.

The new Chancellor should stick to the basics of cutting taxes, spending more on education and rebalancing growth outside of London.

Tom Tugendhat: The last two men left standing in this contest must resist the temptation to slug it out

While there is no shortage of ideas, there has been a shortage of leadership. We need a Prime Minister who will take us through Brexit and confront the challenges beyond.

Bob Seely: Saving Britain billions. Ideas for the contenders in this leadership contest.

This is a contribution to the debate – now let’s see what the candidates offer during the week ahead.

Andrew Allum: New technology can save the NHS and social care system billions and improve patients’ lives

Hancock’s willingness to embrace such innovation is encouraging, and will bring sizeable benefits.

Rebecca Lowe: Fight for the right to choose of the poor, the fat and, yes, the stupid

None of these qualities necessarily stop you wanting things, knowing what you enjoy, and being able to weigh up how to decide.

Patrick Spencer and Gerard Lyons: Yes, the British jobs story is a good one – but we can’t count on it carrying on forever

A report published by the Centre for Social Justice today outlines four major traps that could jeopardise Britain’s employment miracle.

May’s speech on science – “the UK’s ingenuity and creativity will be what drives our progress as a nation”

“Today over half of the UK’s resident researcher population were born overseas. When we leave the European Union, I will ensure that does not change.”

Alan Mak: Investing in new technology will create a new era of patient power

As I set out in my report, my challenge to the NHS is to move all GP surgeries and hospitals from being paper-first to digital-first organisations over the next 10 years.

Rebecca Lowe Coulson: Why over-policing undermines the police themselves – and civil society

Improving the situation means not only holding the police to greater account, but behaving more responsibly ourselves.