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Debbie Adlam's son, PC Andrew Harper, was killed in the line of duty in 2019. She has urged the Prime Minister not to allow two of his killers early release from prison.

Scientific American reports that the 2026 Fields Medals went to four mathematicians for work ranging from the theory of knots to the motion of fluid: The Fields Medals went to Hong Wang of New York University and France's Institute of Advanced Scientific Studies (IHES), Yu Deng of the University of Chicago, John Pardon of Stony Brook University and Jacob Tsimerman of the University of Toronto. In the awards' 90-year history, Wang is only the third woman to win one, after mathematicians Maryam Mirzakhani and Maryna Viazovska in 2014 and 2022, respectively. Wang and Deng represent the prizes' only Chinese-born recipients besides mathematician Shing-Tung Yau, who won a Fields Medal in 1982. Hong Wang co-proved the three-dimensional Kakeya conjecture, establishing a fundamental limit on how little space is needed to rotate a line through every possible direction. Mathematician Nets Katz called it the field's "holy grail" problem and said the achievement made her "a central figure" in the area. Yu Deng and his collaborators reconciled the microscopic and macroscopic mathematics of fluid motion, proving that equations describing chaotic molecular interactions and large-scale fluid behavior are fundamentally connected. N.Y.U. mathematician Scott Armstrong called it "a truly spectacular, singular result." John Pardon made an early breakthrough in knot theory by proving that certain sequences of knots can have arbitrarily large "distortion," a measure of how difficult they are to traverse. Princeton mathematician David Gabai said the problem had "attracted much interest among mathematicians during the previous 25 years." Jacob Tsimerman and two collaborators proved the Andre-Oort conjecture, giving mathematicians a stronger way to understand special points on complex geometric objects known as Shimura varieties. Collaborator Jonathan Pila described him as "a brilliant mathematician" known for his "brilliance and resourcefulness." Tsimerman has also advanced Hodge theory and hopes pure mathematics can help researchers better understand AI.

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The incident was described as a “near miss that could easily have ended in tragedy”

Andrew Tinsley (pictured), a 46-year-old from West Derby in Merseyside, died after he jumped into a river in Llangollen, North Wales on Friday, July 10.

For most, summer is something to look forward to, promising sunshine, long evenings and well-earned holidays. But for 40 years, I've seen it as something to be endured rather than enjoyed.

Georgia Toffolo has opened up about how she has struggled with acne for 15 years and revealed she has begun journaling about it in a bid to cure it for good.

Phishing for dummies

The deaf film star, 18, was a passenger in a 1995 Honda Accord that veered off the road and slammed into a ditch in Maryland, with speed playing a factor according to local law enforcement.

Louise Minchin has revealed she is still recovering from frostbite after developing the condition during her Arctic ice bike ride challenge in March.

Pretty, single, female...you're a witch!

I squinted into the mirror at the streak running through my hair - a trick of the light? No, my first grey hair. I couldn't believe it. You might assume I was in my 30s when I made this discovery, but I was just 16

As my seven-year-old son Benny finally drifts off to sleep, I lay beside him in contented bliss. I read him a bedtime story every night to help him feel sleepy and rarely leave until he drops off.

The 61-year-old actor - who played Martin Platt in the ITV soap from 1985 until 2005, and had a brief stint in 2018 - and Carol married in a countryside wedding.

Millions of fans are being served a different slice of their idol, because now Sam Smith, the formerly suave and suited songbird, has started a new side hustle on social media...

Residents were forced to evacuate their homes yesterday after a fire broke out at a Endeavour House in Harlow.

Residents were forced to evacuate their homes yesterday after a fire broke out at a Endeavour House in Harlow.

If you like your cars like your coffee - hot, strong but with a tasty dash of invigorating cream - then Vauxhall's new Mokka GSE may be just the job.

Commonwealth Games bosses have insisted ticket sales are on track to meet their expectations amid fears grandstands could be left with empty seats.

At the height of the heatwave sweeping Britain last month, 250 delegates gathered in the Throne Room at St James's Palace for a reception on climate change.

A video posted on Mr Farage's TikTok page shows the Reform UK leader on the campaign trail with a group of people. A driver then hurls abuse at the Reform UK leader.