Mathematics

The 2003 Cohn-Elkies method “for finding upper bounds on the density of sphere packings,” established by MIT Prof. Henry Cohn and Harvard University’s Noam Elkies, is highlighted by Jack Murtagh for the Scientific American. “Their recipe is almost mechanical: come up with a mathematical function, feed the function into their method, and an upper bound pops out,” writes Murtagh. “They provided the field with a machine: identify the right inputs, churn it through their method, and a breakthrough in sphere packing might emerge.” 

Prof. Shafi Goldwasser and Prof. Vinod Vaikuntanathan founded the Institute for Responsible Superintelligence (RESI), “to develop mathematical principles and protocols to ensure AI models behave as intended,” writes Aaron Pressman for The Boston Globe. “You patch them [AI models] up, you test them, you patch them to make sure that they can perform to the best ability, but also not do damage,” says Goldwasser. “That’s probably not enough attention, given the fact that these things are going to become what we call super intelligent.” 

Prof. Justin Solomon joins GBH’s “The Curiosity Desk" to explain the Navier-Stokes problem and the significance of this longstanding challenge being solved by an AI platform. “There are concerns and there’s excitement,” says Solomon. “Obviously, working on the Navier-Stokes equations and other open problems shows that these AI tools are capable of assisting with proofs, or at least counter examples in this particular case, of really hard questions that have been open for centuries.” 

Akamai will honor their late cofounder Danny Lewin SM ’98, a victim of the American Airlines Flight 11 on 9/11, by illuminating their headquarters in blue the evening of Sept. 11, write Jon Chesto and Shirley Leung for The Boston Globe. “Lewin remains revered at Akamai; its highest employee award is given out each year in his honor,” Chesto and Leung write.  

In a Scientific American article by reporter Joseph Howlett, Prof. Naomi Sweeting discusses the potential pitfalls of consulting artificial intelligence in mathematics. “I view math as part of a vast and beautiful human project,” says Sweeting. “It's this huge endeavor that puts us in communication with thousands of years of human thinking.” 

New Scientist’s Jacklin Kwan highlights Prof. Christoph Kehle’s work demonstrating that extremal black holes, a variety of black hole that has zero temperature, could exist. “Extremal black holes were thought of as an idealised, unattainable limit: something you could write down as a solution, but which could never be reached [through any real physical] process, but we proved that wrong,” says Kehle. 

Prof. Tom Leighton, CEO of Akamai, speaks to Fast Company reporter Victor Dey about his vision for a faster and cheaper AI grid that could serve as an alternative to large data centers, and more effectively route inference workloads. “Many inference tasks do not need the largest model or the largest cluster or the most expensive compute,” says Leighton. “What they need is the ability to marry the right model, in the right place, data and moment, at the most effective cost.” 

Smithsonian Magazine’s Sarah Kuta highlights Lecturer Franco Rossi’s work identifying the name of ancient Maya mathematician Sak Tahn Waax, or “White-chested fox,” inscribed in a chamber with murals, hieroglyphs and mathematical texts. One of Waax’s equations, linking the cycles of Mars and Venus to units of time in the Maya calendar, is “meant to concisely and meaningfully show the relationship between these two planets and human counts of time in ways that could then be applied to political ceremony, predictive astronomy and understandings of seasonality,” says Rossi. 

Lecturer Franco Rossi is spotlighted by National Geographic reporter Taylor Mitchell Brown for deciphering the name of ancient Maya mathematician, Sak Tahn Waax, or “White-Chested Fox,” found inscribed in the mural room at the Maya site of Xultún in Guatemala. “You can look at some of these texts forever, and it won't click,” says Rossi. “Then, one day you see it, and it just clicks.” 

In a Science article by reporter Laura Martín Agudelo, Lecturer Franco Rossi delves into the discovery of the autograph of the ancient Maya mathematician, Sak Tahn Waax, or “White-Chested Fox” in Xultun, Guatemala. “[T]here’s good evidence for codex book production [at Xultun],” says Rossi. “So if there’s going to be a name … this would be the most logical place.” 

Scientific American’s Joseph Howlett highlights how Lecturer Franco Rossi helped discover the name of ancient Maya mathematician, Sak Tahn Waax, or “White-Chested Fox,” which was inscribed in a 1,000-year-old chamber beneath Guatemala. “Rossi showed how the markings on a particular scrap of plaster could be seen as a sort of celestial chronology; the team then reconstructed how the scraps’ symbols tabulated the time it took for planets such as Mars and Venus to come back to the same position, relative to the sun,” writes Howlett.  

For Scientific American’s “The Young American Scientists” special section, reporter Tara Haelle interviews Prof. John Urschel, a former NFL player, exploring his views on the benefits for aspiring young scientists of having a broad background of different interests and passions to draw upon. “A lot of good research happens when people can draw on tools, techniques and insights from different areas, disciplines and even fields,” says Urschel. “I hope we can encourage promising young scientists to establish strong, broad backgrounds and to communicate frequently with those outside their particular areas.” 

According to the 2026 QS World University Rankings, MIT has been earned a No. 1 global ranking in 12 subject areas, including chemical engineering; chemistry; civil and structural engineering; computer science and information systems; data science and artificial intelligence; electrical and electronic engineering; engineering and technology; linguistics; materials science; mechanical, aeronautical, and manufacturing engineering; mathematics; and physics and astronomy, reports Michael T. Nietzel for Forbes.

MIT has launched a new effort aimed at helping high schoolers across the U.S. tackle calculus, reports Juliet Schulman-Hall for MassLive. The new program, called the MIT4America Calculus Project, pairs trained MIT undergraduates and alumni with school districts across the U.S. to tutor high school students from Montana to Texas in calculus. The program “was created last year with an in-person summer calculus camp,” Schulman-Hall notes. “Since then, it has grown to include 14 school districts.” 

Prof. John Urschel – a former offensive lineman for the Baltimore Ravens – joined Edgar B. Herwick III, host of GBH’s newest show, The Curiosity Desk, to talk about his love of his family, linear algebra, and football. On how he eventually chose math over football, Urschel quips: “Well, I hate to break it to you, I like math better… let me tell you, when I started my PhD at MIT, I just fell in love with the place. I fell in love with this idea of being in this environment [where] everyone loves math, everyone wants to learn. I was just constantly excited every day showing up.”