James Frayne: The new Prime Minister won’t triumph on Leave votes alone. Here’s how he can win some Remain supporters over.

The NHS, the environment, childcare: the creative energies of Team Johnson must be poured into new policies for these.

The Brexit Party wins the Euro-elections. The Liberal Democrats are second. Disaster for the two main parties.

The Conservatives are down to four MEPs: Hannan, McIntyre, Mobarik, and Van Orden.

Thursday’s Vote 2) Angela Richardson: Why Brexiteers should vote Conservative

Change is coming to our Party. We have listened. Don’t endanger the country for the sake of the instant gratification of protest.

The local elections revisited: An analysis of results in the South East

It is easy to conclude that the Conservatives were the biggest losers. The question of who won is more complicated.

The Independent Group. A problem for the Conservatives but a danger for Labour.

Tory difficulties are bound up with Brexit. Labour’s stretch wider, and are part of wider ones for social democratic and democratic socialist parties.

James Frayne: Five new political parties that could be formed

Specifically for anti-Brexit politicians, the path to creating such a party lies firmly on what we think of as the Left;

Chris Grayling: After so long a wait, let’s get on with it – and vote emphatically today for expansion at Heathrow

Today, Parliament can play a huge part in helping us achieve that post-Brexit vision, securing the long-term connections the country needs.

The Conservatives are contesting all but 13 of the 4,413 local election races – more than Labour

Full slates of Tory candidates have been achieved in the East Midlands, West Midlands, North East, South West and London (the first time in the capital since 1986).

James Frayne: The local elections – and why London modernisation won’t work for provincial Britain

They want to know that their political leaders aren’t racist or judgemental or stuck in a 1950s parody – but they aren’t interested in hearing about these ideas primarily.

May the builder?

If she really is to “dedicate my premiership” to fixing housing growth and home ownership, she will need to throw a chunk of her caution to the winds.

Andrew Wood: Yes, Singapore really is an example we can learn from. But not for the reasons some Tories give.

It is not especially low tax, nor is it unregulated – though it is certainly a more business-friendly environment then the UK. Here is why it works.

Public sector payback time

Its awards consume roughly a quarter of public spending. It is hard to see where the tax hikes or spending scaleback to fund them will come from if the Chancellor sticks to his guns.

Nick Faith: We need more homes for the North. Here’s how to get them built.

While London is experiencing the greatest demand for housing, the prospect of building in the capital is fraught with political risk.

David Rutley: Life sciences are vital to Britain’s global future

Now is the time to spread more of the success beyond the South East.

Carolyn Fairbairn: If the Government gets its Industrial Strategy right, we can help make the economy stronger and fairer

We need sectoral centres of excellence that strengthen our economy, create higher wage jobs and help us trade across the globe.