Adds a ∴ button to the PDF reader's top toolbar. Click it to get a popup listing every line that starts a theorem-like environment (Theorem / Lemma / Proposition / Corollary / Definition / Remark / ...

'When you add two coprime numbers (a, b) to create another number, there are only a finite number of extreme exceptions where the result of the addition (c) is 'overwhelmingly larger' than the value ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...

Another example: a 2015 conjecture about an optimization problem that experts had failed to resolve for a decade. The model disproved it in a single run, constructing a specific counterexample with ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

A Rutgers professor, Pham Tiep, has cracked two major mathematical puzzles, advancing our understanding of symmetries and random processes in numerous scientific fields, ranging from chemistry and ...

This summer, as part of the Department's Summer Research Experience for Undegraduates and First-Year Graduate Students, graduate student Summer Haag, undergraduate Clyde Kertzer, postdoc James ...

Is mathematics discovered or invented? Some people believe that mathematics is the language of the universe, and it’s just waiting to be uncovered. Others believe that mathematics is a human construct ...

Mathematicians thought they were on the cusp of proving a conjecture about the ancient structures known as Apollonian circles. But a summer project would lead to its downfall. Summer Haag and Clyde ...