Did you know Britain had its own "Vietnam"? On this day in 1948, the Malayan War of National Liberation ignited — Marxist guerrillas against British colonial rule. They burned villages. They beheaded the dead. Then they set fire to the evidence. 🧵

Tucked along Padre Faura Street in Ermita, Manila, the beloved independent bookstore has served as a cultural landmark and gathering space for lovers of literature since 1964. This month, it's having a Clearance Sale of up to 70% off on foreign titles!

British PM announces ban on social media for under-16s. | via @AFP

A Chinese mathematician spent 7 years making sandwiches at Subway after his PhD, and at 58 solved a 150-year-old math problem nobody thought was solvable. His name is Yitang Zhang. The problem is called the Twin Prime Conjecture. He was born in Shanghai in 1955 and knew he wanted to spend his life on mathematics by the time he was nine years old. That year he found his own proof of the Pythagorean theorem. Nobody taught it to him. He just worked it out. Then the Cultural Revolution arrived and took everything. The Chinese government closed the schools. Zhang's father had political troubles with the Communist Party, so Zhang was sent to the countryside with his mother to work in the fields. He spent 10 years as a farm laborer. No high school. No classroom. No teacher. He read math books in the fields when he could find them. When the revolution ended, Zhang was 23. He sat the university entrance exam and got into Peking University, one of the most competitive mathematics programs in China. He finished his bachelor's degree, then a master's. The president of Peking University personally recommended him for a full scholarship at Purdue University in the United States. He arrived at Purdue in 1985. He earned his PhD in 1991. Then the second wall hit. His relationship with his doctoral advisor collapsed. The advisor did not write him letters of recommendation. Without those letters, the academic job market was closed. Zhang applied. Nothing came back. He spent the years after his PhD working as an accountant, doing delivery work, sleeping in his car during the stretches when nothing else was available. A friend eventually opened a Subway sandwich restaurant in Kentucky and offered him a job. Zhang took it. He kept the books and made sandwiches. A man with a PhD in mathematics from Purdue, working a Subway counter because the academic world had no place for him. He did this for seven years. He was finally hired as a lecturer at the University of New Hampshire in 1999. Not a professor. A lecturer. The lowest rung of the academic ladder, with no research funding, no graduate students, and no institutional support. He taught calculus to undergraduates and worked on mathematics alone in whatever time was left. Most people would have stopped believing by then. Zhang did not stop. The Twin Prime Conjecture is one of the oldest unsolved problems in number theory. Twin primes are pairs of prime numbers separated by exactly two: 5 and 7, 17 and 19, 41 and 43. The conjecture predicts that these pairs never stop appearing no matter how far you go along the number line. Mathematicians had believed this for over 150 years. Nobody had been able to prove it. The deeper version of the problem asks something slightly different. Not whether twin primes are infinite, but whether there is any finite gap between prime numbers that appears infinitely often. This is called the bounded gap problem. The best mathematicians in analytic number theory had been attacking it for decades. A landmark 2005 paper by three researchers came agonizingly close and still could not close it. Zhang worked on it alone. No collaborators. No funding. No department seminars where he could road-test his ideas. He once said he would go to a friend's house and think in the garden for hours. In 2012, during a visit to a friend's home in Colorado, something unlocked. He submitted his paper to the Annals of Mathematics in April 2013. The Annals is the most prestigious mathematics journal in the world. Papers sit in review for months, sometimes years. The editors read Zhang's submission and immediately knew something was different. They sent it to the leading experts in analytic number theory for review. It was accepted in three weeks. The paper proved that there are infinitely many pairs of prime numbers separated by a gap of less than 70 million. Not two. Not the twin prime gap specifically. But a finite gap. For the first time in history, someone had proved that prime numbers keep coming back together, that the universe of numbers never lets them drift apart forever. Peter Sarnak, one of the most respected mathematicians at the Institute for Advanced Study, said: "He is not a fellow who had done much before. Nobody knew him. His result was spectacular." Zhang was 58 years old. Within a year he had the MacArthur Fellowship, the Cole Prize, the Rolf Schock Prize, and a full professorship at UC Santa Barbara. The man who spent seven years at Subway was now one of the most celebrated mathematicians alive. He said in an interview: "I was not lucky. Maybe it is more important for a person to make himself known to the public. But that was not so easy for me." He was not complaining. He was just being precise. The mathematics establishment has a quiet belief that great work happens young. The Fields Medal cuts off at 40. Most mathematicians who change the field do it in their thirties. Zhang proved his most important theorem at 58, after a decade of farm labor, seven years of sandwiches, and a decade of teaching calculus to freshmen with no one watching. He did not beat the deadline. He proved there was no deadline to beat.

A widow is questioning PhilHealth policies after her husband who contributed for over 25 years was denied benefits—including coverage for their hospital bill worth nearly ₱200,000. In a June 12 Facebook post, Maria Lourdes Sulit said her husband, Marvin, died from a brain hematoma on June 4 after their family failed to raise the money needed for an emergency operation. The procedure would have cost up to ₱4 million, with hospitals requiring at least a ₱1 million deposit. “[W]e had no choice but to wait for Marvin to die,” Sulit said. Hours after his death, Sulit sought assistance from PhilHealth, but was told her husband was ineligible for benefits because he had been confined for less than 24 hours. “My husband had just died. How could he not be eligible?” she said, adding that even the ₱7,800 resuscitation package was denied because they “did not authorize” it. The bill listed items such as an Ambu bag used to assist breathing. Nevertheless, it ultimately couldn’t save Marvin, as “the surgery he urgently needed was never performed.” She urged the state insurer to review and change its policy, especially since her husband was a “lifelong member” who “paid faithfully throughout his working years.” “[W]e do not deserve this… it was so unfair,” she said. “[T]his is our hard earned money.” Her post went viral, drawing sympathy and fueling anger online. In a June 14 statement, PhilHealth said it has reached out to the family and is coordinating with the hospitals involved as it explores possible support. PhilHealth membership is mandatory under the Universal Health Care Law, which automatically enrolls all Filipinos to provide financial support for healthcare. The case raises questions about a system that requires universal membership but may still leave contributors without support at critical moments. ✍️: John Lloyd Aleta, 📸: Maria Lourdes Sulit/Facebook #radarPHBusiness #radarPH