Mr Matheson described the proposed suspension as “excessive and unfair”.
The Parliamentary Commissioner for Standards upheld two allegations of sexual misconduct against Mr Matheson made by a former member of staff.
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He allegedly invited her on a private trip abroad and “the invitation was sexually motivated, unwanted, and had placed the complainant under pressure and intimidated her”, according to the report.
During a work event outside Parliament, he also “linked arms with her; made personal comments about her appearance while looking at her suggestively; made her hold his hand as they left and insisted on accompanying her to her bus stop; and once there invited her back to his flat, kissed her twice on the forehead and attempted to kiss her on the mouth”.
The report states that the commissioner “concluded that these were all unwanted and unwelcome sexual advances”.
A Labour spokesperson said: “This is an incredibly serious case. There must be a zero tolerance for sexual harassment and the Labour Party has acted immediately following the ICGS findings.
“We will now select a candidate that the people of Chester can be proud to vote for.”
Mr Matheson has been the MP for the City of Chester since 2015.
“I have today, with great sadness, tendered my resignation as Member of Parliament for the City of Chester,” he said in a statement.
“This follows publication of a report which had found me guilty of sexual misconduct.
“From the start I accepted I had committed a minor breach of the code and had hoped that an honest and open approach would stand me in a fair light.
“This has proven not to be the case and I am dismayed that I have been found guilty of several allegations that I know to be untrue.
“Indeed my insistence on what I know to be true – that I had no sexual motivation in this matter – was held against me as a refusal to accept my guilt, and caused an increased sanction which I felt was disproportionate.
“Despite provable factual inaccuracies in the sanctions report, my appeal against sanction was not even considered, for the same reason.
“Therefore, I faced a suspension from the House of four weeks.
“Whilst I believe that this is an excessive and unfair penalty, I cannot challenge the process further. I believe that the honourable and right thing to do now is to resign my seat and seek to rebuild my life elsewhere.
“I would ask for privacy for my family. This matter has also caused a great toll on my health, requiring my hospitalisation, and I ask that my privacy is respected while I recover.
“I will forever be grateful to my constituency, and my party, for giving me the honour to serve, and I apologise to the people of Chester, and to the House of Commons, for the disrepute I have brought.
“I once again apologise to the complainant in my case, for the hurt I have caused.”
His resignation means there will now be a by-election in the City of Chester.
Mr Matheson retained the seat with a 6,164 majority in 2019.
Responding to the report, Mike Clancy, general secretary of Prospect union, said: “It is worrying however that while he was being investigated he remained able to attend the Houses of Parliament.
“In no other workplace would someone being investigated for such serious offences be free to continue visiting it. MPs must get a grip on this issue – it is simply unacceptable that those working in Parliament continue to be put at risk in this way.”
A body has been recovered from a South African mine after police cut off basic supplies in an effort to force around 4,000 illegal miners to resurface.
The body has emerged from the closed gold mine in the northwest town of Stilfontein a day after South Africa’s government said it would not help the illegal miners.
Around 20 people have surfaced from the mineshaft this week as police wait nearby to arrest all those appearing from underground.
It comes a day after a cabinet minister said the government was trying to “smoke them [the miners] out”.
The move is part of the police’s “Close the Hole” operation, whereby officers cut off supplies of food, water and other basic necessities to get those who have entered illegally to come out.
Local reports suggest the supply routes were cut off at the mine around two months ago, with relatives of the miners seen in the area as the stand-off continues.
A decomposed body was brought up on Thursday, with pathologists on the scene, police spokesperson Athlenda Mathe said.
It comes after South African cabinet minister Khumbudzo Ntshavheni told reporters on Wednesday that the government would not send any help to the illegal miners, known in the country as zama zamas, because they are involved in a criminal act.
“We are not sending help to criminals. We are going to smoke them out. They will come out. Criminals are not to be helped; criminals are to be prosecuted. We didn’t send them there,” Ms Ntshavheni said.
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Senior police and defence officials are expected to visit the area on Friday to “reinforce the government’s commitment to bringing this operation to a safe and lawful conclusion”, according to a media advisory from the police.
In the last few weeks, over 1,000 miners have surfaced at various mines in South Africa’s North West province, where police have cut off supplies.
Many of the miners were reported to be weak, hungry and sickly after going for weeks without basic supplies.
Illegal mining remains common in South Africa’s old gold-mining areas, with miners going into closed shafts to dig for any possible remaining deposits.
The illegal miners are often from neighbouring countries, and police say the illegal operations involve larger syndicates that employ the miners.
Their presence in closed mines has also created problems with nearby communities, which complain that the illegal miners commit crimes ranging from robberies to rape.
Illegal mining groups are known to be heavily armed and disputes between rival groups sometimes result in fatal confrontations.
In the courtyard of a farmhouse now home to soldiers of the Ukrainian army’s 47th mechanised brigade, I’m introduced to a weary-looking unit by their commander Captain Oleksandr “Sasha” Shyrshyn.
We are about 10km from the border with Russia, and beyond it lies the Kursk region Ukraine invaded in the summer – and where this battalion is now fighting.
The 47th is a crack fighting assault unit.
They’ve been brought to this area from the fierce battles in the country’s eastern Donbas region to bolster Ukrainian forces already here.
Captain Shyrshyn explains that among the many shortages the military has to deal with, the lack of infantry is becoming a critical problem.
Sasha is just 30 years old, but he is worldly-wise. He used to run an organisation helping children in the country’s east before donning his uniform and going to war.
He is famous in Ukraine and is regarded as one of the country’s top field commanders, who isn’t afraid to express his views on the war and how it’s being waged.
His nom de guerre is ‘Genius’, a nickname given to him by his men.
‘Don’t worry, it’s not a minefield’
Sasha invited me to see one of the American Bradley fighting vehicles his unit uses.
We walk down a muddy lane before he says it’s best to go cross-country.
“We can go that way, don’t worry it’s not a minefield,” he jokes.
He leads us across a muddy field and into a forest where the vehicle is hidden from Russian surveillance drones that try to hunt both American vehicles and commanders.
Sasha shows me a picture of the house they had been staying in only days before – it was now completely destroyed after a missile strike.
Fortunately, neither he, nor any of his men, were there at the time.
“They target commanders,” he says with a smirk.
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It takes me a moment or two to realise we are only a few steps away from the Bradley, dug in and well hidden beneath the trees.
Sasha tells me the Bradley is the finest vehicle he has ever used.
A vehicle so good, he says, it’s keeping the Ukrainian army going in the face of Russia’s overwhelming numbers of soldiers.
He explains: “Almost all our work on the battlefield is cooperation infantry with the Bradley. So we use it for evacuations, for moving people from one place to another, as well as for fire-covering.
“This vehicle is very safe and has very good characteristics.”
Billions of dollars in military aid has been given to Ukraine by the United States, and this vehicle is one of the most valuable assets the US has provided.
Ukraine is running low on men to fight, and the weaponry it has is not enough, especially if it can’t fire long-range missiles into Russia itself – which it is currently not allowed to do.
Sasha says: “We have a lack of weapons, we have a lack of artillery, we have a lack of infantry, and as the world doesn’t care about justice, and they don’t want to finish the war by our win, they are afraid of Russia.
“I’m sorry but they’re scared, they’re scared, and it’s not the right way.”
Like pretty much everyone in Ukraine, Sasha is waiting to see what the US election result will mean for his country.
He is sceptical about a deal with Russia.
“Our enemy only understands the language of power. And you cannot finish the war in 24 hours, or during the year without hard decisions, without a fight, so it’s impossible. It’s just talking without results,” he tells me.
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These men expect the fierce battles inside Kursk to intensify in the coming days.
Indeed, alongside the main supply route into Kursk, workers are already building new defensive positions – unfurling miles of razor wire and digging bunkers for the Ukrainian army if it finds itself in retreat.
Sasha and his men are realistic about support fatigue from the outside world but will keep fighting to the last if they have to.
“I understand this is only our problem, it’s only our issue, and we have to fight this battle, like we have to defend ourselves, it’s our responsibility,” Sasha said.
But he points out everyone should realise just how critical this moment in time is.
“If we look at it widely, we have to understand that us losing will be not only our problem, but it will be for all the world.”
Stuart Ramsay reports from northeastern Ukraine with camera operator Toby Nash, and producers Dominique Van Heerden, Azad Safarov, and Nick Davenport.
The adverse weather could lead to total insured losses of more than €4bn (£3.33bn), according to credit rating agency Morningstar DBRS.
Much of the claims are expected to be covered by the Spanish government’s insurance pool, the agency said, but insurance premiums are likely to increase.