Six years in 120 pages: Researchers shed light on Ricci flows

Differential geometry is the study of space geometry. Multiple natural phenomena, from universal expansion to thermal expansion and contraction, can come down to spatial evolution. The two core conjectures in this field, ...

Scientists solve 90-year-old geometry problem

Carnegie Mellon University computer scientists and mathematicians have resolved the last, stubborn piece of Keller's conjecture, a geometry problem that scientists have puzzled over for 90 years.

Mathematician to present a proof of the Sensitivity Conjecture

The Sensitivity Conjecture has stood as one of the most important, and baffling, open problems in theoretical computer science for nearly three decades. It appears to have finally met its match through work by Hao Huang, ...

Mathematicians deliver formal proof of Kepler Conjecture

A team led by mathematician Thomas Hales has delivered a formal proof of the Kepler Conjecture, which is the definitive resolution of a problem that had gone unsolved for more than 300 years. The paper is now available online ...

Progress finally being made on understanding ABC proof

(Phys.org)—A team of mathematicians met last week at Kyoto University in another attempt to understand a proof unveiled almost four years ago by Shinichi Mochizuki—one that he claims offers a proof of the ABC conjecture. ...

A purported new mathematics proof is impenetrable – now what?

What happens when someone claims to have proved a famous conjecture? Well, it depends. When a paper is submitted, the journal editor will pass it off to a respected expert for examination. That referee will then scan the ...

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