When things seem out of control to me, as they do now, I find myself reaching for ways to avoid the downward spiral. How can I stay grounded while not potentially overreacting? There is certainly much ...
Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry.
VUB's Data Analytics Lab has published new results showing that it is possible to develop original mathematical proofs using ...
The original version of this story appeared in Quanta Magazine. Sometime in the fall of 2021, Andrew Krapivin, an undergraduate at Rutgers University, encountered a paper that would change his life.
Abstract: We investigate the properties of the entropy of a probability measure along the heat flow and more precisely we seek for closed algebraic representations of its derivatives. Provided that ...
The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...
While I was looking for a gift for a child’s birthday, a math book fell into my hands. I am always fascinated when authors write about abstract scientific topics for children, whether it’s on Albert ...
The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded. In early June, buzz built as ...
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 ...